(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 246494, 9911]*) (*NotebookOutlinePosition[ 247548, 9947]*) (* CellTagsIndexPosition[ 247504, 9943]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{Cell[TextData[ "Modulation Schemes for Frequency Hopped PHYs"], "Title", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "by\nLourens Van Der Jagt\nKnowledge Implementations, Inc.\n32 Conklin Road, \ Warwick, NY 10990\nVoice (914) 986-3492\nFax (914) 986-6441\n\ Email:kiilvdj@attmail.com"], "Subtitle", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData["Commercial Introduction"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The code listed in this document is executable using Wolfram Research's \ Mathematica. This code has been developed by Knowledge Implementations Inc. \ and is considered to be Proprietary property of Knowledge Implementations, \ Inc. KII makes no represententation regarding the suitability of this code \ for use in any analysis. This code is distributed as shareware if you find \ the code useful, we would appreciate the payment of a shareware fee of $50.00 \ to be sent to Knowledge Implementations, Inc. 32 Conklin Road, Warwick, NY \ 10990 (U.S. Federal Tax ID. 22-2579700), ATTN:Document IEEE p802.11-93/32 \ Shareware. This code will be posted in soft form on the Californica Microwave \ Bulletin Board and on MathSource at Wolfram Research, Inc.."], "SmallText", Evaluatable->False, AspectRatioFixed->True]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Abstract"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Three possible waveforms that appear to be close to the emission mask \ requirements imposed by FCC Part 15.247 for frequency hopped PHY's operating \ at 1 MBps are presented. One of these is .39 GMSK as proposed by Motorola at \ Agoura Hills, one is a variant of quaternary CPFSK as proposed by California \ Microwave and the final one is a duobinary scheme being introduced in this \ paper by KII. The intent of this document is to provide a first cut at a \ very explicit definition of the waveform for a common air interface that \ might be standardized."], "Text", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Transmitted Waveform Generation"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The following cells define the transmit waveform for an arbitrary CPFSK \ waveform. In general, the first set of cells build an information table \ containing random data. The next set of cells defines the necessary \ parameters of the modulation scheme including the modulation index h and the \ iffrequency to be used. Also defined are the alphabet size M the symbol time \ T and the amplitude. The third cell calculates the phase history of the \ signal for later use in the generation of the transmit signal. The fourth \ cell defines the modulation waveshaping function q. A cell farther down in \ the code illustrates a function that generates the q function for techniques \ that use gaussian premodulation filters.\n\nFinally, the cell that actually \ defines the transmit signal is listed. This signal generating function uses \ the parameter, duration, that tells how long it takes for the impact of a \ particular information bit to be fully reflected in the phase of the \ transmitted signal and uses this information along with the phase history \ vector calculated earlier to generate the waveform. The cells listed below \ were used to generate streams of data 10000 bits long that were stored to \ disk. The illustrations of power spectrum read this stored data from disk \ and perform the required calculations."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "(*Execute this cell if you are using a binary alphabet (including \ Duobinary)*)\nClear[info];SeedRandom[1];\ninfo=Table[2 \ Random[Integer]-1,{10000}];"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*Execute this cell if you are using a quaternary alphabet*)\n\ Clear[info];SeedRandom[1];\ninfo=Table[2 Random[Integer,{1,4}]-5,{10000}];"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell defines and executes the differential encoding function used\n\ for Duobinary signalling*)\n\ differntialinfo[a_,b_]:=-1/;(a==1&&b==1)||(a==-1&&b==-1);\n\ differntialinfo[a_,b_]:=1/;(a==-1&&b==1)||(a==1&&b==-1);\n\ diffinfo[information_]:=FoldList[differntialinfo,1,information];\n\ info=diffinfo[info];"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell defines the parameters for .39 GMSK*)\n\ amplitude=1.;iffrequency=1.0;T=1;M=2;h=.5;\nmakegaussianq[.39,1];"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell defines the parameters for Duobinary*)\n\ amplitude=1.;iffrequency=1.0;T=1;M=2;h=.5;duration=2;\nClear[q]\nq[t_]:=t/(2 \ duration T)/;t>=0&&t<=duration T;\nq[t_]:=0/;t<0;\nq[t_]:=1/2;t>duration T;"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell defines the parameters for quaternary CPFSK*)\n\ amplitude=1.;iffrequency=1.0;T=2;M=4;h=.25;duration=1;\nClear[q]\nq[t_]:=t/(2 \ duration T)/;t>=0&&t<=duration T;\nq[t_]:=0/;t<0;\nq[t_]:=1/2;t>duration T;"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell calculates the phase history vector for any of the schemes*)\n\ Clear[theta];x=0;\ntheta=Table[x+=Pi h info[[k]]//N,{k,1,Length[info]}];"], "Input", AspectRatioFixed->True], Cell[TextData[ "(*This cell defines the actual transmit waveform function for all cases*)\n\ s[t_]:=0./;t<=(duration T);\ns[t_]:=N[amplitude Cos[2 Pi iffrequency \ t+theta[[(n=Floor[t/T])-duration+1]]+\n Apply[Plus,Table[2 Pi h \ info[[k+1]] q[t-k T],\n\t\t{k,n-duration+1,n}]]]]/;t>(duration T);"], "Input",\ AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "Plot[s[t],{t,0,7},PlotRange->All,PlotStyle->Thickness[.001]]"], "Input", AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.136054 0.309013 0.294306 [ [(1)] .15986 .30901 0 2 Msboxa [(2)] .29592 .30901 0 2 Msboxa [(3)] .43197 .30901 0 2 Msboxa [(4)] .56803 .30901 0 2 Msboxa [(5)] .70408 .30901 0 2 Msboxa [(6)] .84014 .30901 0 2 Msboxa [(7)] .97619 .30901 0 2 Msboxa [(-1)] .01131 .01471 1 0 Msboxa [(-0.5)] .01131 .16186 1 0 Msboxa [(0.5)] .01131 .45617 1 0 Msboxa [(1)] .01131 .60332 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .15986 .30901 m .15986 .31526 L s P [(1)] .15986 .30901 0 2 Mshowa p .002 w .29592 .30901 m .29592 .31526 L s P [(2)] .29592 .30901 0 2 Mshowa p .002 w .43197 .30901 m .43197 .31526 L s P [(3)] .43197 .30901 0 2 Mshowa p .002 w .56803 .30901 m .56803 .31526 L s P [(4)] .56803 .30901 0 2 Mshowa p .002 w .70408 .30901 m .70408 .31526 L s P [(5)] .70408 .30901 0 2 Mshowa p .002 w .84014 .30901 m .84014 .31526 L s P [(6)] .84014 .30901 0 2 Mshowa p .002 w .97619 .30901 m .97619 .31526 L s P [(7)] .97619 .30901 0 2 Mshowa p .001 w .05102 .30901 m .05102 .31276 L s P p .001 w .07823 .30901 m .07823 .31276 L s P p .001 w .10544 .30901 m .10544 .31276 L s P p .001 w .13265 .30901 m .13265 .31276 L s P p .001 w .18707 .30901 m .18707 .31276 L s P p .001 w .21429 .30901 m .21429 .31276 L s P p .001 w .2415 .30901 m .2415 .31276 L s P p .001 w .26871 .30901 m .26871 .31276 L s P p .001 w .32313 .30901 m .32313 .31276 L s P p .001 w .35034 .30901 m .35034 .31276 L s P p .001 w .37755 .30901 m .37755 .31276 L s P p .001 w .40476 .30901 m .40476 .31276 L s P p .001 w .45918 .30901 m .45918 .31276 L s P p .001 w .48639 .30901 m .48639 .31276 L s P p .001 w .51361 .30901 m .51361 .31276 L s P p .001 w .54082 .30901 m .54082 .31276 L s P p .001 w .59524 .30901 m .59524 .31276 L s P p .001 w .62245 .30901 m .62245 .31276 L s P p .001 w .64966 .30901 m .64966 .31276 L s P p .001 w .67687 .30901 m .67687 .31276 L s P p .001 w .73129 .30901 m .73129 .31276 L s P p .001 w .7585 .30901 m .7585 .31276 L s P p .001 w .78571 .30901 m .78571 .31276 L s P p .001 w .81293 .30901 m .81293 .31276 L s P p .001 w .86735 .30901 m .86735 .31276 L s P p .001 w .89456 .30901 m .89456 .31276 L s P p .001 w .92177 .30901 m .92177 .31276 L s P p .001 w .94898 .30901 m .94898 .31276 L s P p .002 w 0 .30901 m 1 .30901 L s P p .002 w .02381 .01471 m .03006 .01471 L s P [(-1)] .01131 .01471 1 0 Mshowa p .002 w .02381 .16186 m .03006 .16186 L s P [(-0.5)] .01131 .16186 1 0 Mshowa p .002 w .02381 .45617 m .03006 .45617 L s P [(0.5)] .01131 .45617 1 0 Mshowa p .002 w .02381 .60332 m .03006 .60332 L s P [(1)] .01131 .60332 1 0 Mshowa p .001 w .02381 .04414 m .02756 .04414 L s P p .001 w .02381 .07357 m .02756 .07357 L s P p .001 w .02381 .103 m .02756 .103 L s P p .001 w .02381 .13243 m .02756 .13243 L s P p .001 w .02381 .19129 m .02756 .19129 L s P p .001 w .02381 .22072 m .02756 .22072 L s P p .001 w .02381 .25015 m .02756 .25015 L s P p .001 w .02381 .27958 m .02756 .27958 L s P p .001 w .02381 .33844 m .02756 .33844 L s P p .001 w .02381 .36787 m .02756 .36787 L s P p .001 w .02381 .3973 m .02756 .3973 L s P p .001 w .02381 .42674 m .02756 .42674 L s P p .001 w .02381 .4856 m .02756 .4856 L s P p .001 w .02381 .51503 m .02756 .51503 L s P p .001 w .02381 .54446 m .02756 .54446 L s P p .001 w .02381 .57389 m .02756 .57389 L s P p .002 w .02381 0 m .02381 .61803 L s P P p p .001 w .02381 .30901 m .06349 .30901 L .10317 .30901 L .14286 .30901 L .18254 .30901 L .22222 .30901 L .24206 .30901 L .2619 .30901 L .27183 .30901 L .28175 .30901 L .28671 .30901 L .28919 .30901 L .29167 .30901 L .29415 .30901 L .29539 .30901 L .29663 .0938 L .30159 .05176 L .30407 .03631 L .30531 .03009 L .30655 .02489 L .30779 .02075 L .30903 .01768 L .31027 .01568 L .31151 .01477 L .31275 .01495 L .31399 .01621 L .31523 .01857 L .31647 .02199 L .31771 .02648 L .31895 .03201 L .32143 .04613 L .32639 .08577 L .33135 .13857 L .34127 .2706 L .35119 .41155 L .35615 .47501 L .36111 .52869 L .36359 .55084 L .36607 .56941 L .36855 .58414 L .36979 .58998 L .37103 .59479 L .37227 .59854 L .37351 .60121 L .37475 .60281 L .37599 .60332 L .37723 .60274 L .37847 .60107 L .37971 .59832 L .38095 .5945 L Mistroke .38343 .58371 L .38591 .56885 L .39087 .52789 L .39583 .47402 L .40079 .41043 L .41071 .26941 L .41567 .20029 L .42063 .13759 L .4256 .08499 L .42808 .06347 L .43056 .04559 L .43304 .03161 L .43428 .02614 L .43552 .02173 L .43676 .01837 L .438 .0161 L .43924 .0149 L .44048 .0148 L .44172 .01578 L .44296 .01785 L .4442 .021 L .44544 .02521 L .44792 .03677 L .4504 .05235 L .45536 .09462 L .46032 .14953 L .47024 .28376 L .48016 .42386 L .48512 .48578 L .49008 .53728 L .49256 .55814 L .49504 .57532 L .49752 .58856 L .49876 .59364 L .5 .59766 L .50124 .60062 L .50248 .6025 L .50372 .60329 L .50496 .60299 L .5062 .60161 L .50744 .59914 L .50868 .5956 L .50992 .59099 L .5124 .57868 L .51488 .56237 L .51984 .51881 L .52976 .3979 L .53968 .25633 L .5496 .127 L .55456 .07663 L Mistroke .55704 .05642 L .55952 .03996 L .56076 .0332 L .562 .02747 L .56324 .02278 L .56448 .01914 L .56572 .01658 L .56696 .01511 L .5682 .01472 L .56944 .01542 L .57068 .01721 L .57192 .02007 L .5744 .029 L .57564 .03503 L .57688 .04207 L .57937 .05909 L .58433 .10391 L .58929 .16082 L .59921 .29698 L .60913 .43593 L .61409 .49618 L .61905 .5454 L .62153 .56494 L .62401 .58069 L .62525 .58707 L .62649 .59242 L .62773 .59672 L .62897 .59995 L .63021 .60211 L .63145 .60319 L .63269 .60318 L .63393 .60207 L .63517 .59989 L .63641 .59662 L .63889 .58692 L .64013 .58051 L .64137 .5731 L .64385 .55538 L .64881 .50932 L .65873 .38519 L .66865 .24336 L .67361 .17615 L .67857 .11678 L .68353 .06874 L .68601 .04989 L .68849 .03486 L .69097 .0239 L .69221 .01999 L .69345 .01715 L .69469 .01539 L Mistroke .69593 .01472 L .69717 .01513 L .69841 .01664 L .69965 .01922 L .70089 .02288 L .70337 .03336 L .70585 .04791 L .70833 .06633 L .71329 .11361 L .71825 .17241 L .72817 .31022 L .7381 .44775 L .74306 .50621 L .74802 .55305 L .7505 .57121 L .75298 .5855 L .75422 .59112 L .75546 .5957 L .7567 .59921 L .75794 .60166 L .75918 .60301 L .76042 .60328 L .76166 .60247 L .7629 .60056 L .76414 .59758 L .76538 .59352 L .76786 .58228 L .77034 .56699 L .77282 .54789 L .77778 .49942 L .79762 .23052 L .80258 .16447 L .80754 .10695 L .8125 .06134 L .81498 .04387 L .81622 .03659 L .81746 .03033 L .8187 .02509 L .81994 .0209 L .82118 .01778 L .82242 .01574 L .82366 .01479 L .8249 .01492 L .82614 .01614 L .82738 .01844 L .82862 .02183 L .82986 .02627 L .83234 .03828 L .83482 .05429 L .8373 .07407 L Mistroke .84722 .18427 L .85714 .32345 L .86706 .45928 L .87202 .51584 L .87698 .5602 L .87946 .57696 L .8807 .58387 L .88194 .58976 L .88318 .59461 L .88442 .5984 L .88566 .60112 L .8869 .60277 L .88814 .60332 L .88938 .60278 L .89062 .60116 L .89187 .59846 L .89311 .59468 L .89435 .58985 L .89683 .57709 L .89931 .56036 L .90179 .53991 L .90675 .48913 L .91667 .35933 L .92659 .21784 L .93651 .09753 L .93899 .07425 L .94147 .05444 L .94395 .03839 L .94519 .03186 L .94643 .02635 L .94767 .02189 L .94891 .01849 L .95015 .01617 L .95139 .01493 L .95263 .01478 L .95387 .01572 L .95511 .01774 L .95635 .02084 L .95759 .02501 L .95883 .03023 L .96131 .04374 L .96379 .06118 L .96627 .08228 L .97619 .19639 L Mfstroke P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{300, 185}, ImageMargins->{{100, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_88Q000 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc0003o`00010000?o00003P000ol0000?0003 o`0000h000?o000040000ol0000>0003o`00010000?o0000500001/000?o0000B0000ol0000:0003 o`00010000?o00003P000ol0000@0003o`0000h000?o00003`000ol0000>0003o`00010000?o0000 3P000ol0000?0003o`0001D0000K0003o`0004P000?o00002P000ol0000@0003o`0000h000?o0000 40000ol0000>0003o`0000l000?o00003`000ol0000?0003o`0000h000?o00003`000ol0000E0000 6`000ol000180003o`0000/000?o00003`000ol0000>0003o`0000l000?o00003`000ol0000?0003 o`0000l000?o00003`000ol0000>0003o`0000l000?o00005@0001/000?o0000B0000ol0000;0003 o`0000l000?o00003P000ol0000?0003o`0000l000?o00003`000ol0000?0003o`0000h000?o0000 3`000ol0000?0003o`0001D0000K0003o`0004P000?o00002`000ol0000?0003o`0000h000?o0000 3`000ol0000?0003o`0000l000?o00003`000ol0000>0003o`00010000?o00003P000ol0000E0000 503ooaSo0@0001/000?o000010000ol000050003o`0000D000?o000010000ol000050003o`0000@0 00?o00001@000ol000040003o`0000D000?o00001@000ol000040003o`0000<000?o0?l01P000ol0 00050003o`0000@000?o00001@001Ol0003o008000?o00001@000ol000030003o`3o00H000?o0000 1@02o`D000?o00001@001Ol0003o008000?o00001@000ol0000400;o1P000ol0000500;o1@000ol0 00050003o`00008000?o0?l01`000ol000040003o`0000D000?o00001@000ol0000500006`000ol0 00040003o`0000D000?o00001@000ol000040003o`0000D000?o000010000ol000050003o`0000@0 00?o00001@000ol000050003o`0000@000?o00000`000ol0o`060003o`0000D000?o000010000ol0 00050005o`000?l00P000ol000050003o`0000<000?o0?l01P000ol0000500;o1@000ol000050005 o`000?l00P000ol000050003o`0000@00_l60003o`0000D00_l50003o`0000D000?o00000P000ol0 o`070003o`0000@000?o00001@000ol000050003o`0000D0000K0003o`0005H000?o00003P000ol0 000@0003o`0000h000?o00003`000ol0000>0003o`00010000?o00003P000ol0000@0003o`0000h0 00?o00005@0001/000?o0000EP000ol0000>0003o`00010000?o00003P000ol0000@0003o`0000d0 00?o000040000ol0000>0003o`00010000?o00003P000ol0000E00006`000ol0001F0003o`0000h0 00?o000040000ol0000>0003o`00010000?o00003@000ol0000@0003o`0000h000?o000040000ol0 000>0003o`0001D0000K0003o`0005H000?o00003P000ol0000@0003o`0000h000?o000040000ol0 000=0003o`00010000?o00003P000ol0000@0003o`0000h000?o00005@0001/000?o0000EP000ol0 000>0003o`00010000?o00003P000ol0000@0003o`0000d000?o000040000ol0000>0003o`000100 00?o00003P000ol0000E00006`000ol0001F0003o`0000h000?o000040000ol0000>0003o`000100 00?o00003@000ol0000@0003o`0000h000?o000040000ol0000=0003o`0001H0000K00;oE`000ol0 000>0003o`00010000?o00003P000ol0000@0003o`0000d000?o000040000ol0000>0003o`000100 00?o00003@000ol0000F00006`000ol0001G0003o`0000d000?o000040000ol0000>0003o`000100 00?o00003@000ol0000@0003o`0000h000?o000040000ol0000=0003o`0001H0000K0003o`0005L0 00?o00003@000ol0000@0003o`0000h000?o000040000ol0000=0003o`00014000?o000030000ol0 000A0003o`0000d000?o00005P0001/000?o0000E`000ol0000=0003o`00010000?o00003P000ol0 000@0003o`0000d000?o00004@000ol0000<0003o`00014000?o00003@000ol0000F00006`000ol0 001G0003o`0000d000?o00004@000ol0000=0003o`00010000?o00003@000ol0000A0003o`0000`0 00?o00004@000ol0000=0003o`0001H0000K0003o`0005L000?o00003@000ol0000A0003o`0000d0 00?o000040000ol0000=0003o`00014000?o000030000ol0000A0003o`0000d000?o00005P0001/0 00?o0000E`000ol0000=0003o`00014000?o00003@000ol0000@0003o`0000d000?o00004@000ol0 000<0003o`00018000?o000030000ol0000F00006`000ol0001G0003o`0000d000?o00004@000ol0 000<0003o`00014000?o000030000ol0000B0003o`0000`000?o00004P000ol0000<0003o`0001H0 000K00;oF0000ol0000=0003o`00014000?o000030000ol0000B0003o`0000/000?o00004P000ol0 000<0003o`00018000?o000030000ol0000F00006`000ol0001G0003o`0000d000?o00004@000ol0 000<0003o`00018000?o00002`000ol0000B0003o`0000`000?o00004P000ol0000<0003o`0001H0 000K0003o`0005L000?o00003@000ol0000A0003o`0000`000?o00004P000ol0000;0003o`000180 00?o000030000ol0000B0003o`0000`000?o00005P0001/000?o0000E`000ol0000<0003o`000180 00?o000030000ol0000B0003o`0000/000?o00004P000ol0000<0003o`00018000?o000030000ol0 000F00006`000ol0001G0003o`0000`000?o00004P000ol0000<0003o`00018000?o00002`000ol0 000B0003o`0000`000?o00004P000ol0000;0003o`0001L0000K0003o`0005L000?o000030000ol0 000B0003o`0000`000?o00004P000ol0000;0003o`00018000?o000030000ol0000B0003o`0000/0 00?o00005`0001/000?o0000F0000ol0000;0003o`00018000?o000030000ol0000B0003o`0000/0 00?o00004P000ol0000;0003o`0001<000?o00002`000ol0000G00006`000ol0001H0003o`0000/0 00?o00004P000ol0000<0003o`00018000?o00002`000ol0000B0003o`0000/000?o00004`000ol0 000;0003o`0001L0000K00;oF@000ol0000;0003o`00018000?o000030000ol0000B0003o`0000/0 00?o00004P000ol0000;0003o`0001<000?o00002`000ol0000G00006`000ol0001H0003o`0000/0 00?o00004`000ol0000;0003o`00018000?o00002`000ol0000B0003o`0000/000?o00004`000ol0 000;0003o`0001L0000K0003o`0005P000?o00002`000ol0000C0003o`0000/000?o00004P000ol0 000;0003o`00018000?o00002`000ol0000C0003o`0000/000?o00005`0001/000?o0000F0000ol0 000;0003o`0001<000?o00002`000ol0000B0003o`0000/000?o00004P000ol0000;0003o`0001<0 00?o00002`000ol0000G00006`000ol0001H0003o`0000/000?o00004`000ol0000;0003o`000180 00?o00002`000ol0000B0003o`0000/000?o00004`000ol0000;0003o`0001L0000K0003o`0005P0 00?o00002`000ol0000C0003o`0000/000?o00004`000ol0000:0003o`0001<000?o00002P000ol0 000C0003o`0000/000?o00005`0001/000?o0000F0000ol0000;0003o`0001<000?o00002`000ol0 000C0003o`0000T000?o000050000ol0000:0003o`0001<000?o00002`000ol0000G00006`000ol0 001H0003o`0000/000?o00004`000ol0000:0003o`0001@000?o00002@000ol0000D0003o`0000X0 00?o00004`000ol0000;0003o`0001L0000K00;oF@000ol0000;0003o`0001<000?o00002P000ol0 000D0003o`0000T000?o000050000ol0000:0003o`0001<000?o00002P000ol0000H00006`000ol0 001H0003o`0000X000?o000050000ol0000:0003o`0001@000?o00002@000ol0000D0003o`0000X0 00?o000050000ol000090003o`0001P0000K0003o`0005P000?o00002P000ol0000D0003o`0000X0 00?o000050000ol000090003o`0001@000?o00002@000ol0000E0003o`0000T000?o0000600001/0 00?o0000F0000ol0000:0003o`0001@000?o00002P000ol0000D0003o`0000T000?o000050000ol0 00090003o`0001D000?o00002@000ol0000H00006`000ol0001H0003o`0000X000?o000050000ol0 000:0003o`0001@000?o00002@000ol0000D0003o`0000T000?o00005@000ol000090003o`0001P0 000K0003o`0005P000?o00002P000ol0000D0003o`0000X000?o000050000ol000090003o`0001@0 00?o00002@000ol0000E0003o`0000T000?o0000600000P00_l40003o`0000800ol50003o`0005T0 00?o00002@000ol0000D0003o`0000X000?o000050000ol000090003o`0001@000?o00002@000ol0 000E0003o`0000T000?o0000600000L000Co003o2`000ol000020003o`0005T000?o00002@000ol0 000D0003o`0000X000?o000050000ol000090003o`0001@000?o00002@000ol0000E0003o`0000T0 00?o0000600000L000Co003o2`000ol0000200?oF@000ol000090003o`0001@000?o00002P000ol0 000D0003o`0000T000?o000050000ol000090003o`0001D000?o00002@000ol0000H00001`001?l0 0?l800?o1@000ol0001I0003o`0000T000?o00005@000ol000090003o`0001@000?o00002@000ol0 000D0003o`0000T000?o00005@000ol000090003o`0001P000070004o`00o`P000?o00001@000ol0 001I0003o`0000P000?o00005P000ol000080003o`0001D000?o00002@000ol0000D0003o`0000T0 00?o00005@000ol000090003o`0001P000070004o`00o`P000?o00001@000ol0001I0003o`0000P0 00?o00005P000ol000080003o`0001D000?o00002@000ol0000E0003o`0000P000?o00005@000ol0 00090003o`0001P0000800;o2@04o`@000?o0000F@000ol000080003o`0001H000?o000020000ol0 000F0003o`0000P000?o00005@000ol000080003o`0001D000?o00002@000ol0000H00006`000ol0 001I0003o`0000P000?o00005P000ol000080003o`0001H000?o000020000ol0000E0003o`0000P0 00?o00005@000ol000080003o`0001T0000K0003o`0005T000?o000020000ol0000F0003o`0000P0 00?o00005P000ol000080003o`0001D000?o000020000ol0000F0003o`0000L000?o00006@0001/0 00?o0000F@000ol000080003o`0001H000?o000020000ol0000F0003o`0000L000?o00005P000ol0 00070003o`0001L000?o00001`000ol0000I00006`000ol0001I0003o`0000P000?o00005P000ol0 00080003o`0001H000?o00001`000ol0000F0003o`0000L000?o00005`000ol000070003o`0001T0 000K00;oFP000ol000080003o`0001H000?o000020000ol0000F0003o`0000L000?o00005P000ol0 00070003o`0001L000?o00001`000ol0000I00006`000ol0001I0003o`0000P000?o00005P000ol0 00080003o`0001H000?o00001`000ol0000F0003o`0000L000?o00005`000ol000070003o`0001T0 000K0003o`0005X000?o00001`000ol0000F0003o`0000P000?o00005P000ol000070003o`0001L0 00?o00001P000ol0000G0003o`0000L000?o00006@0001/000?o0000FP000ol000070003o`0001H0 00?o000020000ol0000F0003o`0000L000?o00005`000ol000060003o`0001L000?o00001`000ol0 000I00006`000ol0001J0003o`0000H000?o000060000ol000060003o`0001L000?o00001`000ol0 000G0003o`0000H000?o00005`000ol000070003o`0001T0000K0003o`0005X000?o00001P000ol0 000H0003o`0000H000?o00005`000ol000070003o`0001L000?o00001P000ol0000H0003o`0000H0 00?o00006@0001/000?o0000FP000ol000060003o`0001P000?o00001P000ol0000G0003o`0000L0 00?o00005`000ol000060003o`0001P000?o00001P000ol0000I00006`000ol0001J0003o`0000H0 00?o000060000ol000060003o`0001L000?o00001`000ol0000G0003o`0000H000?o000060000ol0 00060003o`0001T0000K00;oF`000ol000060003o`0001P000?o00001P000ol0000G0003o`0000L0 00?o00005`000ol000060003o`0001P000?o00001P000ol0000I00006`000ol0001K0003o`0000D0 00?o000060000ol000060003o`0001L000?o00001`000ol0000G0003o`0000H000?o000060000ol0 00050003o`0001X0000K0003o`0005/000?o00001@000ol0000H0003o`0000H000?o000060000ol0 00050003o`0001P000?o00001P000ol0000H0003o`0000D000?o00006P0001/000?o0000F`000ol0 00050003o`0001T000?o00001@000ol0000H0003o`0000D000?o000060000ol000050003o`0001T0 00?o00001@000ol0000J00006`000ol0001K0003o`0000D000?o00006@000ol000050003o`0001P0 00?o00001@000ol0000I0003o`0000@000?o00006@000ol000050003o`0001X0000K0003o`0005/0 00?o00001@000ol0000I0003o`0000@000?o00006@000ol000050003o`0001T000?o000010000ol0 000I0003o`0000D000?o00006P0001/000?o0000F`000ol000050003o`0001T000?o000010000ol0 000I0003o`0000D000?o00006@000ol000040003o`0001T000?o00001@000ol0000J00006`000ol0 001K0003o`0000D000?o00006@000ol000040003o`0001T000?o00001@000ol0000I0003o`0000@0 00?o00006P000ol000040003o`0001X0000K00;oG0000ol000050003o`0001T000?o000010000ol0 000I0003o`0000D000?o00006@000ol000040003o`0001X000?o000010000ol0000J00006`000ol0 001K0003o`0000D000?o00006@000ol000040003o`0001T000?o000010000ol0000J0003o`0000@0 00?o00006P000ol000040003o`0001X0000K0003o`0005/000?o000010000ol0000J0003o`0000@0 00?o00006@000ol000040003o`0001X000?o000010000ol0000J0003o`0000<000?o00006`0001/0 00?o0000F`000ol000040003o`0001X000?o00000`000ol0000J0003o`0000@000?o00006P000ol0 00040003o`0001X000?o00000`000ol0000K00006`000ol0001K0003o`0000@000?o00006P000ol0 00030003o`0001/000?o00000`000ol0000J0003o`0000<000?o00006`000ol000030003o`0001/0 000K0003o`0005`000?o00000`000ol0000J0003o`0000<000?o00006`000ol000030003o`0001/0 00?o00000P000ol0000K0003o`0000<000?o00006`0001/000?o0000G0000ol000030003o`0001X0 00?o00000`000ol0000K0003o`0000<000?o00006`000ol000020003o`0001/000?o00000`000ol0 000K00006`000ol0001L0003o`0000<000?o00006`000ol000020003o`0001/000?o00000`000ol0 000K0003o`00008000?o000070000ol000020003o`0001/0000K00;oG@000ol000030003o`0001/0 00?o00000P000ol0000K0003o`0000<000?o00006`000ol000020003o`0001`000?o00000P000ol0 000K00006`000ol0001L0003o`0000<000?o00006`000ol000020003o`0001`000?o00000P000ol0 000K0003o`00008000?o000070000ol000020003o`0001/0000K0003o`0005d000Go0000o`0N0003 o`00008000?o000070001Ol0003o01l000Go0000o`0N0003o`00008000?o00006`0001/000?o0000 G@001Ol0003o01l000Go0000o`0N0005o`000?l07`001Ol0003o01h000?o00000P000ol0000K0000 6`000ol0001M0005o`000?l07`001?l00?lO0005o`000?l07`001Ol0003o01h000Go0000o`0N0000 6`000ol0001M0004o`00ob0000Co003o7`001Ol0003o01l000Co003o7`001Ol0003o01h0000C00Go 0`000ol0001M0004o`00ob0000Co003o80000ol0o`0P0004o`00ob0000Co003o7P0001D000?o0000 0`000ol0001N0003o`3o020000?o0?l08@000ol0o`0Q0003o`3o020000?o0?l07`0001D000?o0000 0`03oeh00_lR00;o8@02ob800_lQ00?o7`0001D000?o00000`000ol0003o00l0000E0003o`0000<0 00?o0000o`0?00004`03o`D000?o0000o`0?00005@000ol000030003o`000?l03`000?l0;@000?l0 ;@000?l0;@000?l0;@000?l0;@000?l0;@000001\ \>"], ImageRangeCache->{{{0, 299}, {184, 0}} -> {-0.72496, -1.12476, 0.0264461, 0.0122257}}]}, Open]], Cell[TextData[ "The following cell defines a function that generates the q function required \ if a gaussian premodulation filter is used. This function accepts two \ parameters, the first being the bandwidth symbol time product and the second \ being the symbol time."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "makegaussianq[bt_,bitperiod_]:=(kg=N[Sqrt[2/Log[2]] Pi];\n\tfilterb=bt;\n\t\ width=-1 (Ceiling[1/(2 bt)]);\n\tduration=(-2 width)+1;\n\tp[t_]:=(Erf[-1 kg \ filterb (t-bitperiod/2)]+\n\t\t\tErf[kg filterb (t+bitperiod/2)])/(bitperiod \ 4);\n\tqfunc=Table[NIntegrate[p[t],{t,width,k}],\n\t\t{k,width,-1 width,.1}];\ \n\tgaussq=Interpolation[Table[{n/10,qfunc[[n+1]]}//N,\n\t\t\ {n,0,Length[qfunc]-1}]];\n\tClear[q];\n\tq[t_]:=0/;t<0;\n\t\ q[t_]:=gaussq[t]/;0<=t<=(-2 width);\n\tq[t_]:=.5/;t>(-2 width))"], "Input", AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Power Spectra of Proposed Waveforms"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The cells that follow display simulated power spectrum of the above defined \ waveforms based on a sample of 200 bits of random data. Also displayed is \ the power spectrum of MSK data for comparision purposes. "], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData["MSK Transmit Signal"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The next set of cells calculates and plots the theoretical spectrum of an \ MSK signal tranmsitting random data."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Table[(16/(Pi Pi)) ((Cos[2 Pi f])/(1-16 f f))^2,{f,0,4,.005}];"], "Input", AspectRatioFixed->True], Cell[TextData["10 Log[10,N[%]]+10;"], "Input", AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "ListPlot[Flatten[Join[Reverse[Take[%,{1,200}]],Take[%,{1,600}]]]\n\ ,PlotRange->{20,-60},PlotJoined->True,PlotStyle->{Thickness[.001]}]\n"], "Input", AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00119048 0.463525 0.00772542 [ [(200)] .2619 .46353 0 2 Msboxa [(400)] .5 .46353 0 2 Msboxa [(600)] .7381 .46353 0 2 Msboxa [(800)] .97619 .46353 0 2 Msboxa [(-60)] .01131 0 1 0 Msboxa [(-50)] .01131 .07725 1 0 Msboxa [(-40)] .01131 .15451 1 0 Msboxa [(-30)] .01131 .23176 1 0 Msboxa [(-20)] .01131 .30902 1 0 Msboxa [(-10)] .01131 .38627 1 0 Msboxa [(10)] .01131 .54078 1 0 Msboxa [(20)] .01131 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .46353 m .2619 .46978 L s P [(200)] .2619 .46353 0 2 Mshowa p .002 w .5 .46353 m .5 .46978 L s P [(400)] .5 .46353 0 2 Mshowa p .002 w .7381 .46353 m .7381 .46978 L s P [(600)] .7381 .46353 0 2 Mshowa p .002 w .97619 .46353 m .97619 .46978 L s P [(800)] .97619 .46353 0 2 Mshowa p .001 w .07143 .46353 m .07143 .46728 L s P p .001 w .11905 .46353 m .11905 .46728 L s P p .001 w .16667 .46353 m .16667 .46728 L s P p .001 w .21429 .46353 m .21429 .46728 L s P p .001 w .30952 .46353 m .30952 .46728 L s P p .001 w .35714 .46353 m .35714 .46728 L s P p .001 w .40476 .46353 m .40476 .46728 L s P p .001 w .45238 .46353 m .45238 .46728 L s P p .001 w .54762 .46353 m .54762 .46728 L s P p .001 w .59524 .46353 m .59524 .46728 L s P p .001 w .64286 .46353 m .64286 .46728 L s P p .001 w .69048 .46353 m .69048 .46728 L s P p .001 w .78571 .46353 m .78571 .46728 L s P p .001 w .83333 .46353 m .83333 .46728 L s P p .001 w .88095 .46353 m .88095 .46728 L s P p .001 w .92857 .46353 m .92857 .46728 L s P p .002 w 0 .46353 m 1 .46353 L s P p .002 w .02381 0 m .03006 0 L s P [(-60)] .01131 0 1 0 Mshowa p .002 w .02381 .07725 m .03006 .07725 L s P [(-50)] .01131 .07725 1 0 Mshowa p .002 w .02381 .15451 m .03006 .15451 L s P [(-40)] .01131 .15451 1 0 Mshowa p .002 w .02381 .23176 m .03006 .23176 L s P [(-30)] .01131 .23176 1 0 Mshowa p .002 w .02381 .30902 m .03006 .30902 L s P [(-20)] .01131 .30902 1 0 Mshowa p .002 w .02381 .38627 m .03006 .38627 L s P [(-10)] .01131 .38627 1 0 Mshowa p .002 w .02381 .54078 m .03006 .54078 L s P [(10)] .01131 .54078 1 0 Mshowa p .002 w .02381 .61803 m .03006 .61803 L s P [(20)] .01131 .61803 1 0 Mshowa p .001 w .02381 .01545 m .02756 .01545 L s P p .001 w .02381 .0309 m .02756 .0309 L s P p .001 w .02381 .04635 m .02756 .04635 L s P p .001 w .02381 .0618 m .02756 .0618 L s P p .001 w .02381 .09271 m .02756 .09271 L s P p .001 w .02381 .10816 m .02756 .10816 L s P p .001 w .02381 .12361 m .02756 .12361 L s P p .001 w .02381 .13906 m .02756 .13906 L s P p .001 w .02381 .16996 m .02756 .16996 L s P p .001 w .02381 .18541 m .02756 .18541 L s P p .001 w .02381 .20086 m .02756 .20086 L s P p .001 w .02381 .21631 m .02756 .21631 L s P p .001 w .02381 .24721 m .02756 .24721 L s P p .001 w .02381 .26266 m .02756 .26266 L s P p .001 w .02381 .27812 m .02756 .27812 L s P p .001 w .02381 .29357 m .02756 .29357 L s P p .001 w .02381 .32447 m .02756 .32447 L s P p .001 w .02381 .33992 m .02756 .33992 L s P p .001 w .02381 .35537 m .02756 .35537 L s P p .001 w .02381 .37082 m .02756 .37082 L s P p .001 w .02381 .40172 m .02756 .40172 L s P p .001 w .02381 .41717 m .02756 .41717 L s P p .001 w .02381 .43262 m .02756 .43262 L s P p .001 w .02381 .44807 m .02756 .44807 L s P p .001 w .02381 .47898 m .02756 .47898 L s P p .001 w .02381 .49443 m .02756 .49443 L s P p .001 w .02381 .50988 m .02756 .50988 L s P p .001 w .02381 .52533 m .02756 .52533 L s P p .001 w .02381 .55623 m .02756 .55623 L s P p .001 w .02381 .57168 m .02756 .57168 L s P p .001 w .02381 .58713 m .02756 .58713 L s P p .001 w .02381 .60258 m .02756 .60258 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p .001 w .025 .37596 m .02619 .37658 L .02738 .37714 L .02857 .37764 L .02976 .37807 L .03095 .37844 L .03214 .37875 L .03333 .37899 L .03452 .37917 L .03571 .37927 L .0369 .37931 L .0381 .37928 L .03929 .37918 L .04048 .379 L .04167 .37875 L .04286 .37842 L .04405 .37801 L .04524 .37751 L .04643 .37693 L .04762 .37625 L .04881 .37548 L .05 .3746 L .05119 .37362 L .05238 .37253 L .05357 .37132 L .05476 .36998 L .05595 .36851 L .05714 .36689 L .05833 .36511 L .05952 .36317 L .06071 .36103 L .0619 .3587 L .0631 .35614 L .06429 .35332 L .06548 .35023 L .06667 .34683 L .06786 .34306 L .06905 .33888 L .07024 .33422 L .07143 .32898 L .07262 .32306 L .07381 .31628 L .075 .30844 L .07619 .29919 L .07738 .28804 L .07857 .27414 L .07976 .25589 L .08095 .22972 L .08214 .18424 L s .08223 0 m .08214 .18424 L s .08443 0 m .08452 .18625 L s .08452 .18625 m .08571 .23375 L .0869 .26193 L .0881 .28219 L .08929 .29811 L .09048 .31128 L .09167 .32254 L .09286 .33241 L .09405 .34121 L .09524 .34916 L .09643 .35643 L .09762 .36313 L .09881 .36934 L .1 .37515 L .10119 .3806 L .10238 .38574 L .10357 .39061 L .10476 .39523 L .10595 .39963 L .10714 .40384 L .10833 .40787 L .10952 .41173 L .11071 .41544 L .1119 .41902 L .1131 .42246 L .11429 .42579 L .11548 .42901 L .11667 .43212 L .11786 .43514 L .11905 .43807 L .12024 .44092 L .12143 .44368 L .12262 .44636 L .12381 .44898 L .125 .45153 L .12619 .45401 L .12738 .45643 L .12857 .45879 L .12976 .46109 L .13095 .46334 L .13214 .46553 L .13333 .46768 L .13452 .46978 L .13571 .47183 L .1369 .47384 L .1381 .47581 L .13929 .47773 L .14048 .47962 L .14167 .48146 L .14286 .48327 L Mistroke .14405 .48504 L .14524 .48678 L .14643 .48848 L .14762 .49015 L .14881 .49178 L .15 .49339 L .15119 .49496 L .15238 .49651 L .15357 .49802 L .15476 .49951 L .15595 .50096 L .15714 .50239 L .15833 .5038 L .15952 .50518 L .16071 .50653 L .1619 .50786 L .1631 .50916 L .16429 .51044 L .16548 .5117 L .16667 .51293 L .16786 .51414 L .16905 .51533 L .17024 .51649 L .17143 .51764 L .17262 .51876 L .17381 .51986 L .175 .52094 L .17619 .52201 L .17738 .52305 L .17857 .52407 L .17976 .52507 L .18095 .52606 L .18214 .52702 L .18333 .52797 L .18452 .5289 L .18571 .52981 L .1869 .5307 L .1881 .53158 L .18929 .53244 L .19048 .53328 L .19167 .5341 L .19286 .53491 L .19405 .5357 L .19524 .53647 L .19643 .53723 L .19762 .53797 L .19881 .5387 L .2 .53941 L .20119 .5401 L .20238 .56489 L Mistroke .20357 .54144 L .20476 .54209 L .20595 .54272 L .20714 .54334 L .20833 .54395 L .20952 .54453 L .21071 .54511 L .2119 .54567 L .2131 .54621 L .21429 .54674 L .21548 .54726 L .21667 .54776 L .21786 .54825 L .21905 .54872 L .22024 .54918 L .22143 .54963 L .22262 .55006 L .22381 .55048 L .225 .55089 L .22619 .55128 L .22738 .55166 L .22857 .55202 L .22976 .55237 L .23095 .55271 L .23214 .55304 L .23333 .55335 L .23452 .55365 L .23571 .55393 L .2369 .55421 L .2381 .55447 L .23929 .55471 L .24048 .55495 L .24167 .55517 L .24286 .55538 L .24405 .55557 L .24524 .55576 L .24643 .55593 L .24762 .55608 L .24881 .55623 L .25 .55636 L .25119 .55648 L .25238 .55659 L .25357 .55668 L .25476 .55676 L .25595 .55683 L .25714 .55689 L .25833 .55693 L .25952 .55696 L .26071 .55698 L .2619 .55699 L Mistroke .2631 .55699 L .26429 .55698 L .26548 .55696 L .26667 .55693 L .26786 .55689 L .26905 .55683 L .27024 .55676 L .27143 .55668 L .27262 .55659 L .27381 .55648 L .275 .55636 L .27619 .55623 L .27738 .55608 L .27857 .55593 L .27976 .55576 L .28095 .55557 L .28214 .55538 L .28333 .55517 L .28452 .55495 L .28571 .55471 L .2869 .55447 L .2881 .55421 L .28929 .55393 L .29048 .55365 L .29167 .55335 L .29286 .55304 L .29405 .55271 L .29524 .55237 L .29643 .55202 L .29762 .55166 L .29881 .55128 L .3 .55089 L .30119 .55048 L .30238 .55006 L .30357 .54963 L .30476 .54918 L .30595 .54872 L .30714 .54825 L .30833 .54776 L .30952 .54726 L .31071 .54674 L .3119 .54621 L .3131 .54567 L .31429 .54511 L .31548 .54453 L .31667 .54395 L .31786 .54334 L .31905 .54272 L .32024 .54209 L .32143 .54144 L Mistroke .32262 .56489 L .32381 .5401 L .325 .53941 L .32619 .5387 L .32738 .53797 L .32857 .53723 L .32976 .53647 L .33095 .5357 L .33214 .53491 L .33333 .5341 L .33452 .53328 L .33571 .53244 L .3369 .53158 L .3381 .5307 L .33929 .52981 L .34048 .5289 L .34167 .52797 L .34286 .52702 L .34405 .52606 L .34524 .52507 L .34643 .52407 L .34762 .52305 L .34881 .52201 L .35 .52094 L .35119 .51986 L .35238 .51876 L .35357 .51764 L .35476 .51649 L .35595 .51533 L .35714 .51414 L .35833 .51293 L .35952 .5117 L .36071 .51044 L .3619 .50916 L .3631 .50786 L .36429 .50653 L .36548 .50518 L .36667 .5038 L .36786 .50239 L .36905 .50096 L .37024 .49951 L .37143 .49802 L .37262 .49651 L .37381 .49496 L .375 .49339 L .37619 .49178 L .37738 .49015 L .37857 .48848 L .37976 .48678 L .38095 .48504 L Mistroke .38214 .48327 L .38333 .48146 L .38452 .47962 L .38571 .47773 L .3869 .47581 L .3881 .47384 L .38929 .47183 L .39048 .46978 L .39167 .46768 L .39286 .46553 L .39405 .46334 L .39524 .46109 L .39643 .45879 L .39762 .45643 L .39881 .45401 L .4 .45153 L .40119 .44898 L .40238 .44636 L .40357 .44368 L .40476 .44092 L .40595 .43807 L .40714 .43514 L .40833 .43212 L .40952 .42901 L .41071 .42579 L .4119 .42246 L .4131 .41902 L .41429 .41544 L .41548 .41173 L .41667 .40787 L .41786 .40384 L .41905 .39963 L .42024 .39523 L .42143 .39061 L .42262 .38574 L .42381 .3806 L .425 .37515 L .42619 .36934 L .42738 .36313 L .42857 .35643 L .42976 .34916 L .43095 .34121 L .43214 .33241 L .43333 .32254 L .43452 .31128 L .43571 .29811 L .4369 .28219 L .4381 .26193 L .43929 .23375 L .44048 .18625 L Mistroke Mfstroke .44057 0 m .44048 .18625 L s .44277 0 m .44286 .18424 L s .44286 .18424 m .44405 .22972 L .44524 .25589 L .44643 .27414 L .44762 .28804 L .44881 .29919 L .45 .30844 L .45119 .31628 L .45238 .32306 L .45357 .32898 L .45476 .33422 L .45595 .33888 L .45714 .34306 L .45833 .34683 L .45952 .35023 L .46071 .35332 L .4619 .35614 L .4631 .3587 L .46429 .36103 L .46548 .36317 L .46667 .36511 L .46786 .36689 L .46905 .36851 L .47024 .36998 L .47143 .37132 L .47262 .37253 L .47381 .37362 L .475 .3746 L .47619 .37548 L .47738 .37625 L .47857 .37693 L .47976 .37751 L .48095 .37801 L .48214 .37842 L .48333 .37875 L .48452 .379 L .48571 .37918 L .4869 .37928 L .4881 .37931 L .48929 .37927 L .49048 .37917 L .49167 .37899 L .49286 .37875 L .49405 .37844 L .49524 .37807 L .49643 .37764 L .49762 .37714 L .49881 .37658 L .5 .37596 L .50119 .37527 L Mistroke .50238 .37453 L .50357 .37372 L .50476 .37285 L .50595 .37191 L .50714 .37091 L .50833 .36985 L .50952 .36872 L .51071 .36753 L .5119 .36627 L .5131 .36494 L .51429 .36355 L .51548 .36208 L .51667 .36054 L .51786 .35892 L .51905 .35722 L .52024 .35545 L .52143 .35359 L .52262 .35165 L .52381 .34962 L .525 .34749 L .52619 .34526 L .52738 .34294 L .52857 .3405 L .52976 .33795 L .53095 .33528 L .53214 .33248 L .53333 .32954 L .53452 .32645 L .53571 .3232 L .5369 .31978 L .5381 .31617 L .53929 .31235 L .54048 .3083 L .54167 .304 L .54286 .29942 L .54405 .29452 L .54524 .28925 L .54643 .28357 L .54762 .2774 L .54881 .27065 L .55 .26321 L .55119 .25491 L .55238 .24554 L .55357 .23476 L .55476 .22208 L .55595 .20663 L .55714 .18684 L .55833 .15912 L .55952 .11208 L Mfstroke .55958 0 m .55952 .11208 L s .56185 0 m .5619 .11096 L s .5619 .11096 m .5631 .15689 L .56429 .18348 L .56548 .20216 L .56667 .21649 L .56786 .22805 L .56905 .23771 L .57024 .24596 L .57143 .25314 L .57262 .25946 L .57381 .26509 L .575 .27014 L .57619 .2747 L .57738 .27884 L .57857 .28262 L .57976 .28608 L .58095 .28925 L .58214 .29217 L .58333 .29487 L .58452 .29735 L .58571 .29965 L .5869 .30177 L .5881 .30372 L .58929 .30553 L .59048 .3072 L .59167 .30874 L .59286 .31016 L .59405 .31146 L .59524 .31265 L .59643 .31374 L .59762 .31473 L .59881 .31562 L .6 .31642 L .60119 .31714 L .60238 .31777 L .60357 .31831 L .60476 .31878 L .60595 .31917 L .60714 .31949 L .60833 .31973 L .60952 .31991 L .61071 .32001 L .6119 .32004 L .6131 .32001 L .61429 .31991 L .61548 .31974 L .61667 .31951 L .61786 .31921 L .61905 .31885 L .62024 .31842 L Mistroke .62143 .31793 L .62262 .31737 L .62381 .31675 L .625 .31606 L .62619 .31531 L .62738 .31449 L .62857 .3136 L .62976 .31265 L .63095 .31162 L .63214 .31053 L .63333 .30936 L .63452 .30812 L .63571 .30681 L .6369 .30542 L .6381 .30395 L .63929 .3024 L .64048 .30076 L .64167 .29903 L .64286 .29722 L .64405 .2953 L .64524 .29329 L .64643 .29117 L .64762 .28895 L .64881 .2866 L .65 .28414 L .65119 .28154 L .65238 .2788 L .65357 .27591 L .65476 .27286 L .65595 .26964 L .65714 .26622 L .65833 .2626 L .65952 .25874 L .66071 .25463 L .6619 .25024 L .6631 .24553 L .66429 .24045 L .66548 .23495 L .66667 .22896 L .66786 .22239 L .66905 .21513 L .67024 .20702 L .67143 .19782 L .67262 .18722 L .67381 .17471 L .675 .15944 L .67619 .13982 L .67738 .11227 L .67857 .0654 L Mfstroke .6786 0 m .67857 .0654 L s .68092 0 m .68095 .06462 L s .68095 .06462 m .68214 .11071 L .68333 .13747 L .68452 .15631 L .68571 .1708 L .6869 .18253 L .6881 .19234 L .68929 .20075 L .69048 .20809 L .69167 .21456 L .69286 .22035 L .69405 .22555 L .69524 .23027 L .69643 .23456 L .69762 .23849 L .69881 .2421 L .7 .24542 L .70119 .24849 L .70238 .25133 L .70357 .25396 L .70476 .2564 L .70595 .25866 L .70714 .26077 L .70833 .26272 L .70952 .26453 L .71071 .26621 L .7119 .26776 L .7131 .2692 L .71429 .27053 L .71548 .27175 L .71667 .27288 L .71786 .2739 L .71905 .27484 L .72024 .27568 L .72143 .27645 L .72262 .27712 L .72381 .27772 L .725 .27824 L .72619 .27869 L .72738 .27906 L .72857 .27936 L .72976 .27959 L .73095 .27975 L .73214 .27984 L .73333 .27986 L .73452 .27982 L .73571 .2797 L .7369 .27953 L .7381 .27928 L .73929 .27898 L Mistroke .74048 .2786 L .74167 .27816 L .74286 .27766 L .74405 .27709 L .74524 .27645 L .74643 .27575 L .74762 .27498 L .74881 .27413 L .75 .27322 L .75119 .27224 L .75238 .27119 L .75357 .27006 L .75476 .26886 L .75595 .26758 L .75714 .26622 L .75833 .26477 L .75952 .26324 L .76071 .26162 L .7619 .25991 L .7631 .25811 L .76429 .2562 L .76548 .25419 L .76667 .25207 L .76786 .24983 L .76905 .24746 L .77024 .24497 L .77143 .24233 L .77262 .23954 L .77381 .23659 L .775 .23347 L .77619 .23015 L .77738 .22663 L .77857 .22287 L .77976 .21886 L .78095 .21457 L .78214 .20995 L .78333 .20497 L .78452 .19956 L .78571 .19367 L .7869 .1872 L .7881 .18003 L .78929 .17201 L .79048 .16291 L .79167 .1524 L .79286 .13998 L .79405 .1248 L .79524 .10527 L .79643 .07782 L .79762 .03103 L Mfstroke .79763 0 m .79762 .03103 L s .79998 0 m .8 .03043 L s .8 .03043 m .80119 .07661 L .80238 .10346 L .80357 .12239 L .80476 .13696 L .80595 .14878 L .80714 .15868 L .80833 .16718 L .80952 .17459 L .81071 .18116 L .8119 .18702 L .8131 .19231 L .81429 .19711 L .81548 .20149 L .81667 .2055 L .81786 .20919 L .81905 .2126 L .82024 .21575 L .82143 .21867 L .82262 .22138 L .82381 .2239 L .825 .22625 L .82619 .22843 L .82738 .23046 L .82857 .23235 L .82976 .23411 L .83095 .23574 L .83214 .23726 L .83333 .23866 L .83452 .23996 L .83571 .24116 L .8369 .24226 L .8381 .24327 L .83929 .2442 L .84048 .24503 L .84167 .24579 L .84286 .24646 L .84405 .24705 L .84524 .24757 L .84643 .24802 L .84762 .24839 L .84881 .24869 L .85 .24892 L .85119 .24908 L .85238 .24918 L .85357 .2492 L .85476 .24916 L .85595 .24906 L .85714 .24888 L .85833 .24865 L Mistroke .85952 .24834 L .86071 .24797 L .8619 .24754 L .8631 .24704 L .86429 .24647 L .86548 .24583 L .86667 .24513 L .86786 .24435 L .86905 .24351 L .87024 .2426 L .87143 .24161 L .87262 .24055 L .87381 .23941 L .875 .23819 L .87619 .2369 L .87738 .23552 L .87857 .23405 L .87976 .2325 L .88095 .23085 L .88214 .22911 L .88333 .22727 L .88452 .22532 L .88571 .22326 L .8869 .22108 L .8881 .21878 L .88929 .21635 L .89048 .21377 L .89167 .21105 L .89286 .20816 L .89405 .20509 L .89524 .20184 L .89643 .19837 L .89762 .19468 L .89881 .19073 L .9 .18649 L .90119 .18193 L .90238 .17701 L .90357 .17167 L .90476 .16583 L .90595 .15942 L .90714 .15231 L .90833 .14435 L .90952 .1353 L .91071 .12485 L .9119 .11249 L .9131 .09737 L .91429 .0779 L .91548 .0505 L .91667 .00377 L Mfstroke .91667 0 m .91667 .00377 L s .91905 0 m .91905 .00328 L s .91905 .00328 m .92024 .04951 L .92143 .07642 L .92262 .0954 L .92381 .11003 L .925 .1219 L .92619 .13186 L .92738 .14041 L .92857 .14788 L .92976 .1545 L .93095 .16042 L .93214 .16576 L .93333 .17061 L .93452 .17504 L .93571 .17911 L .9369 .18285 L .9381 .18631 L .93929 .18951 L .94048 .19249 L .94167 .19525 L .94286 .19782 L .94405 .20021 L .94524 .20245 L .94643 .20453 L .94762 .20647 L .94881 .20828 L .95 .20996 L .95119 .21153 L .95238 .21298 L .95357 .21433 L .95476 .21558 L .95595 .21673 L .95714 .21779 L .95833 .21876 L .95952 .21965 L .96071 .22045 L .9619 .22117 L .9631 .22182 L .96429 .22238 L .96548 .22288 L .96667 .2233 L .96786 .22364 L .96905 .22392 L .97024 .22413 L .97143 .22427 L .97262 .22434 L .97381 .22435 L .975 .22429 L .97619 .22416 L s P % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 173}, ImageMargins->{{34, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_88Q000 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc0003o`0009X0000F0003o`0001<000?o0000C@000ol0 002K00005P000ol0000C0003o`0001d01?l300;o1002ob4000?o00003@000ol0000200;o1002oc00 0_l400;o1002oc000_l400;o1002o`D0000F0003o`0001@000?o000070001?l00?l20004o`00o`80 00Co003o80000ol0000=0005o`000?l00P001?l00?l20003o`0002`000Co003o0P001?l00?l20004 o`00obh000Co003o0P001?l00?l20004o`00o`@0000F00;o5@000ol0000M0003o`00008000Co003o 0P001?l00?lO0003o`0000/01Ol20004o`00o`8000Co003o;P001?l00?l20004o`00o`8000Co003o ;P001?l00?l20004o`00o`8000Co003o100001H000?o000050000ol0000N0005o`000?l00P001?l0 0?l20003o`0001d000?o00002`001?l00?l30004o`00o`8000Co003o;P03o`<000Co003o0P001?l0 0?l_00;o0`001?l00?l20004o`00o`@0000F0003o`0001D000?o00007P001?l00?l20004o`00o`80 00?o00007@000ol0000<0003o`3o00<000Co003o0P001?l00?l^0003o`0000<000Co003o0P001?l0 0?l^0004o`00o`8000Co003o0P001?l00?l400005P000ol0000E0003o`0001/000Co003o0P001?l0 0?l20004o`00oal000?o00003@02o`<000Co003o0P001?l00?l_0003o`00008000Co003o0P001?l0 0?l^0004o`00o`8000Co003o0P001?l00?l400005P02oaH00_lM00;o1002o`@00_lO0003o`0000l0 00?o00000P02o`@00_la00;o0`02o`@00_l`00;o1002o`@00_l500005P000ol0000F0003o`0004P0 00?o0000W@0001H000?o00005P000ol000170003o`0009h0000F0003o`0001H00_m80003o`0009h0 000F00;o60000ol000150003o`0009l0000F0003o`0001L00_m60003o`0009l0000F0003o`0001P0 00?o0000@`000ol0002P00005P000ol0000H00;oA0000ol0002P0000403oo`Ko1@0001H000?o0000 2@000ol0000:0005o`000?l01`000ol0000:0003o`0000T000?o00002@000ol0000:0003o`0000H0 00Co003o30000ol000090003o`0000X000?o00002@000ol000090003o`0000X000?o00002@000ol0 000:0003o`0000T000?o00002@000ol0000:0003o`0000T000?o00002@0001H000?o00006P02od00 00?o0000XP0001H000?o00006`000ol0000m00;oY00001H00_lL00;o?P000ol0002S00005P000ol0 000L0003o`0003/000?o0000Y00001H000?o00007@000ol0000i00;oYP0001H000?o00007@02ocX0 00?o0000Y@0001H00_lO00;o>002ojL0000F0003o`0001l000?o0000=@02ojP0000F0003o`0001l0 0_le00;oZ@0001H000?o00008002oc<00_nZ00005P02ob800_lb0003o`000:T0000F0003o`000280 0_l`0003o`000:X0000F0003o`0002<00_l]00;o[@0001H000?o00009002ob/00_n^00005P02obH0 0_lY00;o[`0000P01Ol200;o1@000ol0000W00;o9P02ok00000:0005o`000?l00P000ol000020003 o`0002P00_lS00;o/P0000X000Go0000o`020003o`00008000?o0000:@03ob000_nc00002P001Ol0 003o008000?o00000P03ob/00olL00?o]00000X000Go0000o`020003o`00008000?o0000:`05oaP0 1?ne00002003o`<000Co003o10000ol0000[00;o0P03oa<00ol30003o`000;<0000:0003o`000080 0_l50003o`0002/00_l400Go3004o`D000?o0000/`0001H00_l]0003o`0000H03Ol90003o`000;<0 000F0003o`0002`000?o000070000ol0002c00005P000ol0000/0003o`0001`000?o0000/`0001H0 00?o0000o`0200005P02ool00`0001H000?o0000o`0200005P000ol0003o0080000F0003o`000?l0 0P0001H00_oo00<0000F0003o`000?l00P0001H000?o0000o`0200005P000ol0003o0080000F00;o o`0300002004o`<00_l50003o`000?l00P0000P000Co003o0P001?l00?l40003o`000?l00P0000T0 00?o00000P001?l00?l40003o`000?l00P0000X000Go0000o`020003o`0000800ooo0080000;0004 o`00o`8000?o0000o`07000020001?l00?l20004o`00ool02@0000T00_l400;oo`0:0000o`0K0000 o`0K0000\ \>"], ImageRangeCache->{{{0, 281}, {172, 0}} -> {-72.7572, -62.7333, 3.22453, 0.496896}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Duobinary Transmit Signal"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The next set of cells calculates and plots the spectrum of a duobinary data \ stream. This spectrum is plotted in conjunction with the MSK plot generated \ above and the 20 dB bandwidth is calculated."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "insig=OpenRead[\"Hard Disk:DUOBINSIG.MAC\"];\n\ txsignal=Table[N[Read[insig]],{8000}];\nFourier[txsignal];\ntest2Q=Abs[%] \ Abs[%];\nListPlot[10 Log[10,Take[test2Q,800]],\n\t\ PlotJoined->True,PlotRange->All,\n\ PlotStyle->{Thickness[.001],RGBColor[0,1,0]}]\nClose[insig];"], "Input", AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "tt=Max[test2Q];\nttt=Flatten[Position[Take[test2Q,400],x_/;x>(tt/100)]];\n\ Print[\"Twenty dB width in KHz is \",N[5 (Max[ttt]-Min[ttt])]]"], "Input", AspectRatioFixed->True], Cell[TextData["Twenty dB width in KHz is 860."], "Print", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Show[Out[3],Out[28]]"], "Input", AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00119048 0.463525 0.00772542 [ [(200)] .2619 .46353 0 2 Msboxa [(400)] .5 .46353 0 2 Msboxa [(600)] .7381 .46353 0 2 Msboxa [(800)] .97619 .46353 0 2 Msboxa [(-60)] .01131 0 1 0 Msboxa [(-50)] .01131 .07725 1 0 Msboxa [(-40)] .01131 .15451 1 0 Msboxa [(-30)] .01131 .23176 1 0 Msboxa [(-20)] .01131 .30902 1 0 Msboxa [(-10)] .01131 .38627 1 0 Msboxa [(10)] .01131 .54078 1 0 Msboxa [(20)] .01131 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .46353 m .2619 .46978 L s P [(200)] .2619 .46353 0 2 Mshowa p .002 w .5 .46353 m .5 .46978 L s P [(400)] .5 .46353 0 2 Mshowa p .002 w .7381 .46353 m .7381 .46978 L s P [(600)] .7381 .46353 0 2 Mshowa p .002 w .97619 .46353 m .97619 .46978 L s P [(800)] .97619 .46353 0 2 Mshowa p .001 w .07143 .46353 m .07143 .46728 L s P p .001 w .11905 .46353 m .11905 .46728 L s P p .001 w .16667 .46353 m .16667 .46728 L s P p .001 w .21429 .46353 m .21429 .46728 L s P p .001 w .30952 .46353 m .30952 .46728 L s P p .001 w .35714 .46353 m .35714 .46728 L s P p .001 w .40476 .46353 m .40476 .46728 L s P p .001 w .45238 .46353 m .45238 .46728 L s P p .001 w .54762 .46353 m .54762 .46728 L s P p .001 w .59524 .46353 m .59524 .46728 L s P p .001 w .64286 .46353 m .64286 .46728 L s P p .001 w .69048 .46353 m .69048 .46728 L s P p .001 w .78571 .46353 m .78571 .46728 L s P p .001 w .83333 .46353 m .83333 .46728 L s P p .001 w .88095 .46353 m .88095 .46728 L s P p .001 w .92857 .46353 m .92857 .46728 L s P p .002 w 0 .46353 m 1 .46353 L s P p .002 w .02381 0 m .03006 0 L s P [(-60)] .01131 0 1 0 Mshowa p .002 w .02381 .07725 m .03006 .07725 L s P [(-50)] .01131 .07725 1 0 Mshowa p .002 w .02381 .15451 m .03006 .15451 L s P [(-40)] .01131 .15451 1 0 Mshowa p .002 w .02381 .23176 m .03006 .23176 L s P [(-30)] .01131 .23176 1 0 Mshowa p .002 w .02381 .30902 m .03006 .30902 L s P [(-20)] .01131 .30902 1 0 Mshowa p .002 w .02381 .38627 m .03006 .38627 L s P [(-10)] .01131 .38627 1 0 Mshowa p .002 w .02381 .54078 m .03006 .54078 L s P [(10)] .01131 .54078 1 0 Mshowa p .002 w .02381 .61803 m .03006 .61803 L s P [(20)] .01131 .61803 1 0 Mshowa p .001 w .02381 .01545 m .02756 .01545 L s P p .001 w .02381 .0309 m .02756 .0309 L s P p .001 w .02381 .04635 m .02756 .04635 L s P p .001 w .02381 .0618 m .02756 .0618 L s P p .001 w .02381 .09271 m .02756 .09271 L s P p .001 w .02381 .10816 m .02756 .10816 L s P p .001 w .02381 .12361 m .02756 .12361 L s P p .001 w .02381 .13906 m .02756 .13906 L s P p .001 w .02381 .16996 m .02756 .16996 L s P p .001 w .02381 .18541 m .02756 .18541 L s P p .001 w .02381 .20086 m .02756 .20086 L s P p .001 w .02381 .21631 m .02756 .21631 L s P p .001 w .02381 .24721 m .02756 .24721 L s P p .001 w .02381 .26266 m .02756 .26266 L s P p .001 w .02381 .27812 m .02756 .27812 L s P p .001 w .02381 .29357 m .02756 .29357 L s P p .001 w .02381 .32447 m .02756 .32447 L s P p .001 w .02381 .33992 m .02756 .33992 L s P p .001 w .02381 .35537 m .02756 .35537 L s P p .001 w .02381 .37082 m .02756 .37082 L s P p .001 w .02381 .40172 m .02756 .40172 L s P p .001 w .02381 .41717 m .02756 .41717 L s P p .001 w .02381 .43262 m .02756 .43262 L s P p .001 w .02381 .44807 m .02756 .44807 L s P p .001 w .02381 .47898 m .02756 .47898 L s P p .001 w .02381 .49443 m .02756 .49443 L s P p .001 w .02381 .50988 m .02756 .50988 L s P p .001 w .02381 .52533 m .02756 .52533 L s P p .001 w .02381 .55623 m .02756 .55623 L s P p .001 w .02381 .57168 m .02756 .57168 L s P p .001 w .02381 .58713 m .02756 .58713 L s P p .001 w .02381 .60258 m .02756 .60258 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .001 w .025 .37596 m .02619 .37658 L .02738 .37714 L .02857 .37764 L .02976 .37807 L .03095 .37844 L .03214 .37875 L .03333 .37899 L .03452 .37917 L .03571 .37927 L .0369 .37931 L .0381 .37928 L .03929 .37918 L .04048 .379 L .04167 .37875 L .04286 .37842 L .04405 .37801 L .04524 .37751 L .04643 .37693 L .04762 .37625 L .04881 .37548 L .05 .3746 L .05119 .37362 L .05238 .37253 L .05357 .37132 L .05476 .36998 L .05595 .36851 L .05714 .36689 L .05833 .36511 L .05952 .36317 L .06071 .36103 L .0619 .3587 L .0631 .35614 L .06429 .35332 L .06548 .35023 L .06667 .34683 L .06786 .34306 L .06905 .33888 L .07024 .33422 L .07143 .32898 L .07262 .32306 L .07381 .31628 L .075 .30844 L .07619 .29919 L .07738 .28804 L .07857 .27414 L .07976 .25589 L .08095 .22972 L .08214 .18424 L s .08223 0 m .08214 .18424 L s .08443 0 m .08452 .18625 L s .08452 .18625 m .08571 .23375 L .0869 .26193 L .0881 .28219 L .08929 .29811 L .09048 .31128 L .09167 .32254 L .09286 .33241 L .09405 .34121 L .09524 .34916 L .09643 .35643 L .09762 .36313 L .09881 .36934 L .1 .37515 L .10119 .3806 L .10238 .38574 L .10357 .39061 L .10476 .39523 L .10595 .39963 L .10714 .40384 L .10833 .40787 L .10952 .41173 L .11071 .41544 L .1119 .41902 L .1131 .42246 L .11429 .42579 L .11548 .42901 L .11667 .43212 L .11786 .43514 L .11905 .43807 L .12024 .44092 L .12143 .44368 L .12262 .44636 L .12381 .44898 L .125 .45153 L .12619 .45401 L .12738 .45643 L .12857 .45879 L .12976 .46109 L .13095 .46334 L .13214 .46553 L .13333 .46768 L .13452 .46978 L .13571 .47183 L .1369 .47384 L .1381 .47581 L .13929 .47773 L .14048 .47962 L .14167 .48146 L .14286 .48327 L Mistroke .14405 .48504 L .14524 .48678 L .14643 .48848 L .14762 .49015 L .14881 .49178 L .15 .49339 L .15119 .49496 L .15238 .49651 L .15357 .49802 L .15476 .49951 L .15595 .50096 L .15714 .50239 L .15833 .5038 L .15952 .50518 L .16071 .50653 L .1619 .50786 L .1631 .50916 L .16429 .51044 L .16548 .5117 L .16667 .51293 L .16786 .51414 L .16905 .51533 L .17024 .51649 L .17143 .51764 L .17262 .51876 L .17381 .51986 L .175 .52094 L .17619 .52201 L .17738 .52305 L .17857 .52407 L .17976 .52507 L .18095 .52606 L .18214 .52702 L .18333 .52797 L .18452 .5289 L .18571 .52981 L .1869 .5307 L .1881 .53158 L .18929 .53244 L .19048 .53328 L .19167 .5341 L .19286 .53491 L .19405 .5357 L .19524 .53647 L .19643 .53723 L .19762 .53797 L .19881 .5387 L .2 .53941 L .20119 .5401 L .20238 .56489 L Mistroke .20357 .54144 L .20476 .54209 L .20595 .54272 L .20714 .54334 L .20833 .54395 L .20952 .54453 L .21071 .54511 L .2119 .54567 L .2131 .54621 L .21429 .54674 L .21548 .54726 L .21667 .54776 L .21786 .54825 L .21905 .54872 L .22024 .54918 L .22143 .54963 L .22262 .55006 L .22381 .55048 L .225 .55089 L .22619 .55128 L .22738 .55166 L .22857 .55202 L .22976 .55237 L .23095 .55271 L .23214 .55304 L .23333 .55335 L .23452 .55365 L .23571 .55393 L .2369 .55421 L .2381 .55447 L .23929 .55471 L .24048 .55495 L .24167 .55517 L .24286 .55538 L .24405 .55557 L .24524 .55576 L .24643 .55593 L .24762 .55608 L .24881 .55623 L .25 .55636 L .25119 .55648 L .25238 .55659 L .25357 .55668 L .25476 .55676 L .25595 .55683 L .25714 .55689 L .25833 .55693 L .25952 .55696 L .26071 .55698 L .2619 .55699 L Mistroke .2631 .55699 L .26429 .55698 L .26548 .55696 L .26667 .55693 L .26786 .55689 L .26905 .55683 L .27024 .55676 L .27143 .55668 L .27262 .55659 L .27381 .55648 L .275 .55636 L .27619 .55623 L .27738 .55608 L .27857 .55593 L .27976 .55576 L .28095 .55557 L .28214 .55538 L .28333 .55517 L .28452 .55495 L .28571 .55471 L .2869 .55447 L .2881 .55421 L .28929 .55393 L .29048 .55365 L .29167 .55335 L .29286 .55304 L .29405 .55271 L .29524 .55237 L .29643 .55202 L .29762 .55166 L .29881 .55128 L .3 .55089 L .30119 .55048 L .30238 .55006 L .30357 .54963 L .30476 .54918 L .30595 .54872 L .30714 .54825 L .30833 .54776 L .30952 .54726 L .31071 .54674 L .3119 .54621 L .3131 .54567 L .31429 .54511 L .31548 .54453 L .31667 .54395 L .31786 .54334 L .31905 .54272 L .32024 .54209 L .32143 .54144 L Mistroke .32262 .56489 L .32381 .5401 L .325 .53941 L .32619 .5387 L .32738 .53797 L .32857 .53723 L .32976 .53647 L .33095 .5357 L .33214 .53491 L .33333 .5341 L .33452 .53328 L .33571 .53244 L .3369 .53158 L .3381 .5307 L .33929 .52981 L .34048 .5289 L .34167 .52797 L .34286 .52702 L .34405 .52606 L .34524 .52507 L .34643 .52407 L .34762 .52305 L .34881 .52201 L .35 .52094 L .35119 .51986 L .35238 .51876 L .35357 .51764 L .35476 .51649 L .35595 .51533 L .35714 .51414 L .35833 .51293 L .35952 .5117 L .36071 .51044 L .3619 .50916 L .3631 .50786 L .36429 .50653 L .36548 .50518 L .36667 .5038 L .36786 .50239 L .36905 .50096 L .37024 .49951 L .37143 .49802 L .37262 .49651 L .37381 .49496 L .375 .49339 L .37619 .49178 L .37738 .49015 L .37857 .48848 L .37976 .48678 L .38095 .48504 L Mistroke .38214 .48327 L .38333 .48146 L .38452 .47962 L .38571 .47773 L .3869 .47581 L .3881 .47384 L .38929 .47183 L .39048 .46978 L .39167 .46768 L .39286 .46553 L .39405 .46334 L .39524 .46109 L .39643 .45879 L .39762 .45643 L .39881 .45401 L .4 .45153 L .40119 .44898 L .40238 .44636 L .40357 .44368 L .40476 .44092 L .40595 .43807 L .40714 .43514 L .40833 .43212 L .40952 .42901 L .41071 .42579 L .4119 .42246 L .4131 .41902 L .41429 .41544 L .41548 .41173 L .41667 .40787 L .41786 .40384 L .41905 .39963 L .42024 .39523 L .42143 .39061 L .42262 .38574 L .42381 .3806 L .425 .37515 L .42619 .36934 L .42738 .36313 L .42857 .35643 L .42976 .34916 L .43095 .34121 L .43214 .33241 L .43333 .32254 L .43452 .31128 L .43571 .29811 L .4369 .28219 L .4381 .26193 L .43929 .23375 L .44048 .18625 L Mistroke Mfstroke .44057 0 m .44048 .18625 L s .44277 0 m .44286 .18424 L s .44286 .18424 m .44405 .22972 L .44524 .25589 L .44643 .27414 L .44762 .28804 L .44881 .29919 L .45 .30844 L .45119 .31628 L .45238 .32306 L .45357 .32898 L .45476 .33422 L .45595 .33888 L .45714 .34306 L .45833 .34683 L .45952 .35023 L .46071 .35332 L .4619 .35614 L .4631 .3587 L .46429 .36103 L .46548 .36317 L .46667 .36511 L .46786 .36689 L .46905 .36851 L .47024 .36998 L .47143 .37132 L .47262 .37253 L .47381 .37362 L .475 .3746 L .47619 .37548 L .47738 .37625 L .47857 .37693 L .47976 .37751 L .48095 .37801 L .48214 .37842 L .48333 .37875 L .48452 .379 L .48571 .37918 L .4869 .37928 L .4881 .37931 L .48929 .37927 L .49048 .37917 L .49167 .37899 L .49286 .37875 L .49405 .37844 L .49524 .37807 L .49643 .37764 L .49762 .37714 L .49881 .37658 L .5 .37596 L .50119 .37527 L Mistroke .50238 .37453 L .50357 .37372 L .50476 .37285 L .50595 .37191 L .50714 .37091 L .50833 .36985 L .50952 .36872 L .51071 .36753 L .5119 .36627 L .5131 .36494 L .51429 .36355 L .51548 .36208 L .51667 .36054 L .51786 .35892 L .51905 .35722 L .52024 .35545 L .52143 .35359 L .52262 .35165 L .52381 .34962 L .525 .34749 L .52619 .34526 L .52738 .34294 L .52857 .3405 L .52976 .33795 L .53095 .33528 L .53214 .33248 L .53333 .32954 L .53452 .32645 L .53571 .3232 L .5369 .31978 L .5381 .31617 L .53929 .31235 L .54048 .3083 L .54167 .304 L .54286 .29942 L .54405 .29452 L .54524 .28925 L .54643 .28357 L .54762 .2774 L .54881 .27065 L .55 .26321 L .55119 .25491 L .55238 .24554 L .55357 .23476 L .55476 .22208 L .55595 .20663 L .55714 .18684 L .55833 .15912 L .55952 .11208 L Mfstroke .55958 0 m .55952 .11208 L s .56185 0 m .5619 .11096 L s .5619 .11096 m .5631 .15689 L .56429 .18348 L .56548 .20216 L .56667 .21649 L .56786 .22805 L .56905 .23771 L .57024 .24596 L .57143 .25314 L .57262 .25946 L .57381 .26509 L .575 .27014 L .57619 .2747 L .57738 .27884 L .57857 .28262 L .57976 .28608 L .58095 .28925 L .58214 .29217 L .58333 .29487 L .58452 .29735 L .58571 .29965 L .5869 .30177 L .5881 .30372 L .58929 .30553 L .59048 .3072 L .59167 .30874 L .59286 .31016 L .59405 .31146 L .59524 .31265 L .59643 .31374 L .59762 .31473 L .59881 .31562 L .6 .31642 L .60119 .31714 L .60238 .31777 L .60357 .31831 L .60476 .31878 L .60595 .31917 L .60714 .31949 L .60833 .31973 L .60952 .31991 L .61071 .32001 L .6119 .32004 L .6131 .32001 L .61429 .31991 L .61548 .31974 L .61667 .31951 L .61786 .31921 L .61905 .31885 L .62024 .31842 L Mistroke .62143 .31793 L .62262 .31737 L .62381 .31675 L .625 .31606 L .62619 .31531 L .62738 .31449 L .62857 .3136 L .62976 .31265 L .63095 .31162 L .63214 .31053 L .63333 .30936 L .63452 .30812 L .63571 .30681 L .6369 .30542 L .6381 .30395 L .63929 .3024 L .64048 .30076 L .64167 .29903 L .64286 .29722 L .64405 .2953 L .64524 .29329 L .64643 .29117 L .64762 .28895 L .64881 .2866 L .65 .28414 L .65119 .28154 L .65238 .2788 L .65357 .27591 L .65476 .27286 L .65595 .26964 L .65714 .26622 L .65833 .2626 L .65952 .25874 L .66071 .25463 L .6619 .25024 L .6631 .24553 L .66429 .24045 L .66548 .23495 L .66667 .22896 L .66786 .22239 L .66905 .21513 L .67024 .20702 L .67143 .19782 L .67262 .18722 L .67381 .17471 L .675 .15944 L .67619 .13982 L .67738 .11227 L .67857 .0654 L Mfstroke .6786 0 m .67857 .0654 L s .68092 0 m .68095 .06462 L s .68095 .06462 m .68214 .11071 L .68333 .13747 L .68452 .15631 L .68571 .1708 L .6869 .18253 L .6881 .19234 L .68929 .20075 L .69048 .20809 L .69167 .21456 L .69286 .22035 L .69405 .22555 L .69524 .23027 L .69643 .23456 L .69762 .23849 L .69881 .2421 L .7 .24542 L .70119 .24849 L .70238 .25133 L .70357 .25396 L .70476 .2564 L .70595 .25866 L .70714 .26077 L .70833 .26272 L .70952 .26453 L .71071 .26621 L .7119 .26776 L .7131 .2692 L .71429 .27053 L .71548 .27175 L .71667 .27288 L .71786 .2739 L .71905 .27484 L .72024 .27568 L .72143 .27645 L .72262 .27712 L .72381 .27772 L .725 .27824 L .72619 .27869 L .72738 .27906 L .72857 .27936 L .72976 .27959 L .73095 .27975 L .73214 .27984 L .73333 .27986 L .73452 .27982 L .73571 .2797 L .7369 .27953 L .7381 .27928 L .73929 .27898 L Mistroke .74048 .2786 L .74167 .27816 L .74286 .27766 L .74405 .27709 L .74524 .27645 L .74643 .27575 L .74762 .27498 L .74881 .27413 L .75 .27322 L .75119 .27224 L .75238 .27119 L .75357 .27006 L .75476 .26886 L .75595 .26758 L .75714 .26622 L .75833 .26477 L .75952 .26324 L .76071 .26162 L .7619 .25991 L .7631 .25811 L .76429 .2562 L .76548 .25419 L .76667 .25207 L .76786 .24983 L .76905 .24746 L .77024 .24497 L .77143 .24233 L .77262 .23954 L .77381 .23659 L .775 .23347 L .77619 .23015 L .77738 .22663 L .77857 .22287 L .77976 .21886 L .78095 .21457 L .78214 .20995 L .78333 .20497 L .78452 .19956 L .78571 .19367 L .7869 .1872 L .7881 .18003 L .78929 .17201 L .79048 .16291 L .79167 .1524 L .79286 .13998 L .79405 .1248 L .79524 .10527 L .79643 .07782 L .79762 .03103 L Mfstroke .79763 0 m .79762 .03103 L s .79998 0 m .8 .03043 L s .8 .03043 m .80119 .07661 L .80238 .10346 L .80357 .12239 L .80476 .13696 L .80595 .14878 L .80714 .15868 L .80833 .16718 L .80952 .17459 L .81071 .18116 L .8119 .18702 L .8131 .19231 L .81429 .19711 L .81548 .20149 L .81667 .2055 L .81786 .20919 L .81905 .2126 L .82024 .21575 L .82143 .21867 L .82262 .22138 L .82381 .2239 L .825 .22625 L .82619 .22843 L .82738 .23046 L .82857 .23235 L .82976 .23411 L .83095 .23574 L .83214 .23726 L .83333 .23866 L .83452 .23996 L .83571 .24116 L .8369 .24226 L .8381 .24327 L .83929 .2442 L .84048 .24503 L .84167 .24579 L .84286 .24646 L .84405 .24705 L .84524 .24757 L .84643 .24802 L .84762 .24839 L .84881 .24869 L .85 .24892 L .85119 .24908 L .85238 .24918 L .85357 .2492 L .85476 .24916 L .85595 .24906 L .85714 .24888 L .85833 .24865 L Mistroke .85952 .24834 L .86071 .24797 L .8619 .24754 L .8631 .24704 L .86429 .24647 L .86548 .24583 L .86667 .24513 L .86786 .24435 L .86905 .24351 L .87024 .2426 L .87143 .24161 L .87262 .24055 L .87381 .23941 L .875 .23819 L .87619 .2369 L .87738 .23552 L .87857 .23405 L .87976 .2325 L .88095 .23085 L .88214 .22911 L .88333 .22727 L .88452 .22532 L .88571 .22326 L .8869 .22108 L .8881 .21878 L .88929 .21635 L .89048 .21377 L .89167 .21105 L .89286 .20816 L .89405 .20509 L .89524 .20184 L .89643 .19837 L .89762 .19468 L .89881 .19073 L .9 .18649 L .90119 .18193 L .90238 .17701 L .90357 .17167 L .90476 .16583 L .90595 .15942 L .90714 .15231 L .90833 .14435 L .90952 .1353 L .91071 .12485 L .9119 .11249 L .9131 .09737 L .91429 .0779 L .91548 .0505 L .91667 .00377 L Mfstroke .91667 0 m .91667 .00377 L s .91905 0 m .91905 .00328 L s .91905 .00328 m .92024 .04951 L .92143 .07642 L .92262 .0954 L .92381 .11003 L .925 .1219 L .92619 .13186 L .92738 .14041 L .92857 .14788 L .92976 .1545 L .93095 .16042 L .93214 .16576 L .93333 .17061 L .93452 .17504 L .93571 .17911 L .9369 .18285 L .9381 .18631 L .93929 .18951 L .94048 .19249 L .94167 .19525 L .94286 .19782 L .94405 .20021 L .94524 .20245 L .94643 .20453 L .94762 .20647 L .94881 .20828 L .95 .20996 L .95119 .21153 L .95238 .21298 L .95357 .21433 L .95476 .21558 L .95595 .21673 L .95714 .21779 L .95833 .21876 L .95952 .21965 L .96071 .22045 L .9619 .22117 L .9631 .22182 L .96429 .22238 L .96548 .22288 L .96667 .2233 L .96786 .22364 L .96905 .22392 L .97024 .22413 L .97143 .22427 L .97262 .22434 L .97381 .22435 L .975 .22429 L .97619 .22416 L s P p 0 1 0 r .001 w .025 .29427 m .02619 .34161 L .02738 .43905 L .02857 .37074 L .02976 .37354 L .03095 .23468 L .03214 .36543 L .03333 .36009 L .03452 .37771 L .03571 .28953 L .0369 .34059 L .0381 .37211 L .03929 .37717 L .04048 .35223 L .04167 .34811 L .04286 .35276 L .04405 .34555 L .04524 .27232 L .04643 .33008 L .04762 .33855 L .04881 .271 L .05 .35479 L .05119 .35805 L .05238 .30804 L .05357 .38622 L .05476 .34354 L .05595 .3131 L .05714 .33133 L .05833 .34858 L .05952 .35473 L .06071 .36577 L .0619 .34448 L .0631 .36223 L .06429 .3499 L .06548 .29357 L .06667 .30311 L .06786 .3275 L .06905 .36027 L .07024 .35315 L .07143 .32321 L .07262 .34614 L .07381 .33341 L .075 .25746 L .07619 .38349 L .07738 .41104 L .07857 .30577 L .07976 .37934 L .08095 .37042 L .08214 .36532 L .08333 .28774 L Mistroke .08452 .20166 L .08571 .28831 L .0869 .37882 L .0881 .38079 L .08929 .38811 L .09048 .2968 L .09167 .42493 L .09286 .40754 L .09405 .33918 L .09524 .36139 L .09643 .36961 L .09762 .39998 L .09881 .41342 L .1 .3815 L .10119 .37281 L .10238 .35172 L .10357 .36867 L .10476 .34757 L .10595 .42088 L .10714 .40322 L .10833 .29188 L .10952 .38881 L .11071 .33231 L .1119 .34373 L .1131 .39576 L .11429 .29043 L .11548 .37318 L .11667 .34522 L .11786 .38512 L .11905 .35897 L .12024 .38072 L .12143 .38748 L .12262 .4222 L .12381 .2937 L .125 .36828 L .12619 .36904 L .12738 .34827 L .12857 .35393 L .12976 .36316 L .13095 .41893 L .13214 .32012 L .13333 .31767 L .13452 .38924 L .13571 .39267 L .1369 .37257 L .1381 .36179 L .13929 .40837 L .14048 .38379 L .14167 .4304 L .14286 .38046 L Mistroke .14405 .37655 L .14524 .38722 L .14643 .46014 L .14762 .38111 L .14881 .35105 L .15 .37171 L .15119 .43078 L .15238 .4395 L .15357 .44085 L .15476 .36434 L .15595 .4561 L .15714 .44198 L .15833 .42833 L .15952 .47297 L .16071 .41853 L .1619 .5145 L .1631 .47965 L .16429 .47081 L .16548 .49349 L .16667 .49728 L .16786 .44639 L .16905 .47992 L .17024 .40444 L .17143 .40662 L .17262 .41363 L .17381 .36022 L .175 .4925 L .17619 .45988 L .17738 .50872 L .17857 .48087 L .17976 .43689 L .18095 .5218 L .18214 .3965 L .18333 .44088 L .18452 .38799 L .18571 .4993 L .1869 .47181 L .1881 .42103 L .18929 .54181 L .19048 .44066 L .19167 .45554 L .19286 .56127 L .19405 .54616 L .19524 .44298 L .19643 .51612 L .19762 .56023 L .19881 .46707 L .2 .53522 L .20119 .47361 L .20238 .51369 L Mistroke .20357 .52304 L .20476 .51517 L .20595 .4894 L .20714 .54474 L .20833 .49284 L .20952 .57184 L .21071 .52606 L .2119 .45429 L .2131 .56892 L .21429 .58991 L .21548 .49579 L .21667 .48274 L .21786 .57242 L .21905 .48643 L .22024 .52939 L .22143 .54042 L .22262 .42959 L .22381 .46983 L .225 .46534 L .22619 .57125 L .22738 .50764 L .22857 .53372 L .22976 .57633 L .23095 .54225 L .23214 .58002 L .23333 .46716 L .23452 .51004 L .23571 .50499 L .2369 .48954 L .2381 .57173 L .23929 .51423 L .24048 .58883 L .24167 .57231 L .24286 .57665 L .24405 .56562 L Mfstroke .24514 .61803 m .24405 .56562 L s .24531 .61803 m .24643 .5427 L s .24643 .5427 m .24762 .58697 L .24881 .56978 L .25 .55987 L .25119 .59261 L .25238 .54243 L .25357 .58249 L .25476 .56315 L .25595 .56382 L .25714 .53508 L .25833 .44081 L .25952 .58226 L .26071 .58151 L .2619 .45526 L .2631 .46811 L .26429 .5507 L .26548 .58771 L .26667 .37208 L .26786 .59208 L .26905 .58902 L .27024 .5356 L .27143 .60376 L .27262 .56039 L .27381 .51033 L .275 .57033 L .27619 .5577 L .27738 .53316 L .27857 .55248 L .27976 .58561 L .28095 .58851 L .28214 .53887 L .28333 .49447 L .28452 .53824 L .28571 .58808 L .2869 .50074 L .2881 .54481 L .28929 .5685 L .29048 .53001 L .29167 .54108 L .29286 .52508 L .29405 .56693 L .29524 .59852 L .29643 .38596 L .29762 .52052 L .29881 .56143 L .3 .57717 L .30119 .59034 L .30238 .51421 L .30357 .53875 L .30476 .52165 L Mistroke .30595 .53851 L .30714 .514 L .30833 .54458 L .30952 .56961 L .31071 .48848 L .3119 .51142 L .3131 .56618 L .31429 .57744 L .31548 .53749 L .31667 .52821 L .31786 .42878 L .31905 .53905 L .32024 .55357 L .32143 .52966 L .32262 .46191 L .32381 .53434 L .325 .5448 L .32619 .52509 L .32738 .36212 L .32857 .5244 L .32976 .51608 L .33095 .55427 L .33214 .5397 L .33333 .48405 L .33452 .46791 L .33571 .52925 L .3369 .49833 L .3381 .45925 L .33929 .50395 L .34048 .49139 L .34167 .48159 L .34286 .46077 L .34405 .5348 L .34524 .52577 L .34643 .50066 L .34762 .45305 L .34881 .29057 L .35 .53228 L .35119 .49377 L .35238 .45073 L .35357 .46868 L .35476 .46603 L .35595 .47947 L .35714 .46538 L .35833 .42097 L .35952 .48754 L .36071 .43024 L .3619 .29784 L .3631 .43351 L .36429 .4806 L Mistroke .36548 .46279 L .36667 .43155 L .36786 .40644 L .36905 .43111 L .37024 .44382 L .37143 .41475 L .37262 .40916 L .37381 .44872 L .375 .40328 L .37619 .43296 L .37738 .44389 L .37857 .36607 L .37976 .43508 L .38095 .34775 L .38214 .36659 L .38333 .38679 L .38452 .44305 L .38571 .30005 L .3869 .26869 L .3881 .32297 L .38929 .34 L .39048 .39139 L .39167 .3986 L .39286 .40165 L .39405 .39134 L .39524 .31888 L .39643 .37764 L .39762 .35281 L .39881 .39429 L .4 .33323 L .40119 .36621 L .40238 .30407 L .40357 .36791 L .40476 .35349 L .40595 .38237 L .40714 .36139 L .40833 .17234 L .40952 .34999 L .41071 .33936 L .4119 .33415 L .4131 .42593 L .41429 .40443 L .41548 .42317 L .41667 .33946 L .41786 .31863 L .41905 .34153 L .42024 .38538 L .42143 .34565 L .42262 .34305 L .42381 .40106 L Mistroke .425 .40937 L .42619 .40187 L .42738 .34759 L .42857 .39504 L .42976 .23811 L .43095 .43464 L .43214 .38154 L .43333 .30171 L .43452 .34536 L .43571 .40584 L .4369 .37886 L .4381 .13452 L .43929 .34522 L .44048 .3439 L .44167 .2719 L .44286 .3576 L .44405 .33564 L .44524 .32239 L .44643 .34171 L .44762 .40172 L .44881 .31923 L .45 .21965 L .45119 .36241 L .45238 .39665 L .45357 .31037 L .45476 .38664 L .45595 .23482 L .45714 .34903 L .45833 .3587 L .45952 .36117 L .46071 .33482 L .4619 .34189 L .4631 .32106 L .46429 .3572 L .46548 .28299 L .46667 .2828 L .46786 .37241 L .46905 .32913 L .47024 .32043 L .47143 .25822 L .47262 .28534 L .47381 .26206 L .475 .2822 L .47619 .33526 L .47738 .32635 L .47857 .30564 L .47976 .35962 L .48095 .31595 L .48214 .3534 L .48333 .35427 L Mistroke .48452 .30766 L .48571 .31787 L .4869 .2913 L .4881 .26058 L .48929 .36502 L .49048 .30664 L .49167 .35227 L .49286 .35555 L .49405 .3052 L .49524 .31541 L .49643 .28498 L .49762 .31304 L .49881 .39395 L .5 .31294 L .50119 .28576 L .50238 .25493 L .50357 .36754 L .50476 .28643 L .50595 .35508 L .50714 .35275 L .50833 .29672 L .50952 .34522 L .51071 .33907 L .5119 .32705 L .5131 .34032 L .51429 .3137 L .51548 .29745 L .51667 .31256 L .51786 .2873 L .51905 .34362 L .52024 .30877 L .52143 .30394 L .52262 .30297 L .52381 .32105 L .525 .30104 L .52619 .31827 L .52738 .24779 L .52857 .32761 L .52976 .29268 L .53095 .26083 L .53214 .29687 L .53333 .34309 L .53452 .25144 L .53571 .26768 L .5369 .23403 L .5381 .30542 L .53929 .33761 L .54048 .30372 L .54167 .28394 L .54286 .31705 L Mistroke .54405 .283 L .54524 .30211 L .54643 .31766 L .54762 .30634 L .54881 .29967 L .55 .31316 L .55119 .28194 L .55238 .23638 L .55357 .29473 L .55476 .2887 L .55595 .30354 L .55714 .28718 L .55833 .31231 L .55952 .27137 L .56071 .27108 L .5619 .26236 L .5631 .30396 L .56429 .18653 L .56548 .11981 L .56667 .26754 L .56786 .29045 L .56905 .27004 L .57024 .28504 L .57143 .29009 L .57262 .29768 L .57381 .26897 L .575 .3084 L .57619 .19373 L .57738 .29701 L .57857 .28277 L .57976 .28001 L .58095 .22215 L .58214 .28177 L .58333 .31252 L .58452 .22147 L .58571 .25525 L .5869 .24684 L .5881 .2633 L .58929 .29152 L .59048 .23184 L .59167 .13845 L .59286 .25054 L .59405 .27043 L .59524 .23845 L .59643 .24792 L .59762 .28904 L .59881 .26727 L .6 .11053 L .60119 .24818 L .60238 .28005 L Mistroke .60357 .22753 L .60476 .22901 L .60595 .17686 L .60714 .19521 L .60833 .24994 L .60952 .21351 L .61071 .16667 L .6119 .22863 L .6131 .20593 L .61429 .19897 L .61548 .24397 L .61667 .20312 L .61786 .2226 L .61905 .18922 L .62024 .21222 L .62143 .22226 L .62262 .217 L .62381 .21169 L .625 .20125 L .62619 .2004 L .62738 .21594 L .62857 .20653 L .62976 .25822 L .63095 .25612 L .63214 .26277 L .63333 .18753 L .63452 .27204 L .63571 .23726 L .6369 .26822 L .6381 .2367 L .63929 .22705 L .64048 .23739 L .64167 .22982 L .64286 .11547 L .64405 .2654 L .64524 .2613 L .64643 .22751 L .64762 .26562 L .64881 .26695 L .65 .24812 L .65119 .30231 L .65238 .27726 L .65357 .26723 L .65476 .22885 L .65595 .26268 L .65714 .20522 L .65833 .28503 L .65952 .25393 L .66071 .20075 L .6619 .23768 L Mistroke .6631 .29897 L .66429 .29837 L .66548 .21001 L .66667 .2722 L .66786 .23291 L .66905 .31707 L .67024 .27252 L .67143 .26318 L .67262 .28044 L .67381 .24284 L .675 .28931 L .67619 .24316 L .67738 .26343 L .67857 .26444 L .67976 .24215 L .68095 .27389 L .68214 .25508 L .68333 .25595 L .68452 .25831 L .68571 .28229 L .6869 .26443 L .6881 .23313 L .68929 .26758 L .69048 .28731 L .69167 .23763 L .69286 .28277 L .69405 .19348 L .69524 .24871 L .69643 .26486 L .69762 .19121 L .69881 .21755 L .7 .2604 L .70119 .1908 L .70238 .27081 L .70357 .22823 L .70476 .18281 L .70595 .2722 L .70714 .16876 L .70833 .16574 L .70952 .1725 L .71071 .22993 L .7119 .18872 L .7131 .1765 L .71429 .2289 L .71548 .22694 L .71667 .21068 L .71786 .26122 L .71905 .19661 L .72024 .25632 L .72143 .26144 L Mistroke .72262 .20527 L .72381 .23366 L .725 .21538 L .72619 .15515 L .72738 .26691 L .72857 .19825 L .72976 .2592 L .73095 .25642 L .73214 .20745 L .73333 .21464 L .73452 .2068 L .73571 .22102 L .7369 .30171 L .7381 .21844 L .73929 .19997 L .74048 .13002 L .74167 .27972 L .74286 .20493 L .74405 .26359 L .74524 .26543 L .74643 .19989 L .74762 .25469 L .74881 .2582 L .75 .24651 L .75119 .26903 L .75238 .19297 L .75357 .2046 L .75476 .23995 L .75595 .1426 L .75714 .27178 L .75833 .24972 L .75952 .25001 L .76071 .23219 L .7619 .25576 L .7631 .24279 L .76429 .24999 L .76548 .15356 L .76667 .26208 L .76786 .18195 L .76905 .21615 L .77024 .24672 L .77143 .2718 L .77262 .21693 L .77381 .23407 L .775 .1676 L .77619 .24396 L .77738 .27905 L .77857 .25065 L .77976 .24641 L .78095 .2656 L Mistroke .78214 .2387 L .78333 .25835 L .78452 .26612 L .78571 .25653 L .7869 .25082 L .7881 .25954 L .78929 .24423 L .79048 .21954 L .79167 .24194 L .79286 .24346 L .79405 .25793 L .79524 .24488 L .79643 .26176 L .79762 .23645 L .79881 .23852 L .8 .23398 L .80119 .25089 L .80238 .19457 L .80357 .17184 L .80476 .24247 L .80595 .22739 L .80714 .20907 L .80833 .2375 L .80952 .23801 L .81071 .25163 L .8119 .19254 L .8131 .25509 L .81429 .15292 L .81548 .24598 L .81667 .24244 L .81786 .23383 L .81905 .19808 L .82024 .15831 L .82143 .25877 L .82262 .18604 L .82381 .20708 L .825 .22365 L .82619 .11788 L .82738 .23225 L .82857 .19666 L .82976 .16185 L .83095 .20062 L .83214 .21904 L .83333 .19074 L .83452 .20448 L .83571 .2327 L .8369 .21848 L .8381 .14166 L .83929 .19887 L .84048 .2177 L Mistroke .84167 .11553 L .84286 .17506 L .84405 .07667 L .84524 .14997 L .84643 .18206 L .84762 .14581 L .84881 .09481 L .85 .16089 L .85119 .12093 L .85238 .11408 L .85357 .16671 L .85476 .14067 L .85595 .15064 L .85714 .13788 L .85833 .1543 L .85952 .16379 L .86071 .15929 L .8619 .17094 L .8631 .16593 L .86429 .16565 L .86548 .17455 L .86667 .16231 L .86786 .20881 L .86905 .20687 L .87024 .21743 L .87143 .15756 L .87262 .22559 L .87381 .18981 L .875 .22109 L .87619 .19907 L .87738 .19048 L .87857 .20695 L .87976 .19162 L .88095 .11683 L .88214 .22331 L .88333 .22651 L .88452 .20225 L .88571 .23062 L .8869 .23129 L .8881 .21666 L .88929 .25127 L .89048 .2338 L .89167 .21338 L .89286 .21238 L .89405 .23093 L .89524 .19466 L .89643 .24724 L .89762 .22642 L .89881 .19423 L .9 .18362 L Mistroke .90119 .25435 L .90238 .25625 L .90357 .18447 L .90476 .23621 L .90595 .2127 L .90714 .26792 L .90833 .23557 L .90952 .23907 L .91071 .25027 L .9119 .19248 L .9131 .25213 L .91429 .22703 L .91548 .23055 L .91667 .23469 L .91786 .22103 L .91905 .2397 L .92024 .22395 L .92143 .22968 L .92262 .23061 L .92381 .23495 L .925 .23851 L .92619 .21961 L .92738 .2308 L .92857 .24352 L .92976 .21027 L .93095 .23922 L .93214 .1877 L .93333 .21812 L .93452 .22952 L .93571 .08325 L .9369 .1851 L .9381 .22712 L .93929 .16604 L .94048 .23212 L .94167 .20717 L .94286 .18371 L .94405 .22985 L .94524 .08187 L .94643 .14787 L .94762 .17442 L .94881 .20305 L .95 .17108 L .95119 .16523 L .95238 .17101 L .95357 .18614 L .95476 .17363 L .95595 .2139 L .95714 .10376 L .95833 .20757 L .95952 .21054 L Mistroke .96071 .16628 L .9619 .19292 L .9631 .1813 L .96429 .13356 L .96548 .20883 L .96667 .14796 L .96786 .20888 L .96905 .20101 L .97024 .15772 L .97143 .15639 L .97262 .16341 L .97381 .16904 L .975 .25113 L .97619 .16394 L Mfstroke P P % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{34, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_88Q000 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc0003o`0005/000?o000070000ol0000L00;o7@02oad00_lI00005@000ol0000=0003o`0005/0 00?o000070000ol0000L00;o7@02oad00_lI00005@000ol0000=0003o`0005/000?o000070000ol0 000L00;o7@02oad00_lI00005@000ol0000=0003o`0005/000?o000070000ol0000L00;o7@02oad0 0_lI00005@02o`h000?o0000F`000ol0000L0003o`0001`00_lM00;o7@02oaT0000E0003o`0000d0 00?o0000F`000ol0000L0003o`0001`00_lM00;o7@02oaT0000E0003o`0000d000?o0000F`000ol0 000L0003o`0001`00_lM00;o7@02oaT0000E0003o`0000d000?o0000F`000ol0000L0003o`0001`0 0_lM00;o7@02oaT0000E00;o3P000ol0001K0003o`0001`000?o00007002oad00_lM00;o6@0001D0 00?o00003@000ol0001K0003o`0001`000?o00007002oad00_lM00;o6@0001D000?o00003@000ol0 001K0003o`0001`000?o00007002oad00_lM00;o6@0001D000?o00003@000ol0001K0003o`0001`0 00?o00007002oad00_lM00;o6@0001D00_l>0003o`0005/000?o000070000ol0000L00;o7@02oad0 0_lI00005@000ol0000=0003o`0005/000?o000070000ol0000L00;o7@02oad000?o0?l0600000L0 0ol400;o1@000ol0000=0003o`0005/000?o000070000ol0000L00;o7@02oad000?o0?l0600000X0 00Co003o0P000ol000020003o`0000d000?o0000F`000ol0000L0003o`0001`00_lM00;o7@000ol0 o`0H00002P001?l00?l20003o`0000800ol=0003o`0005/000?o000070000ol0000L00;o7@02o`X0 00?@000040000ol0o`0H000000<0ool00_l200?o0`001?l00?l40003o`0000d000?o0000F`000ol0 000L0003o`0001`00_lM00;o2P000m00000@0003o`3o00D000?@0000400000L000?o00000`001?l0 0?l40003o`0000d000?o0000F`000ol0000L0003o`0001`00_lM00;o2P000m00000@0003o`3o0080 00C@003@4P0000L000?o00000`001?l00?l40003o`0000d000?o0000F`000ol0000L0003o`0001`0 0_lM00;o2P000m00000@0003o`3o008000C@003@4P0000L01?l300;o1@02o`h000?o0000F`000ol0 000L0003o`0001`00_lM00;o2P000m00000?0004o`00o`8000C@003@4P0001D000?o00003@000ol0 001K0003o`0001`000?o00007002oad00_l:0003d03@00l000Co003o0P001=000=0B00005@000ol0 000=0003o`0005/000?o000070000ol0000L00;o7@02o`X000?@0=003`001?l00?l20004d000d180 000E0003o`0000d000?o0000F`000ol0000L0003o`0001`00_lM00;o2P000m00d00?0004o`00o`80 00C@003@0P000m00000=00005@02o`h000?o0000F`000ol0000L0003o`0001`00_lM00;o2P000m00 d00?0004o`00o`8000C@003@0P000m00000=00005@000ol0000=0003o`0005/000?o000070000ol0 00070003d00001800_lM00;o2P000m00d00?0004o`00o`8000C@003@0P000m00000=00005@000ol0 000=0003o`0005/000?o000070000ol000070003d00000T000?@00001P02oad000?o0?l02@03d0l0 00Co003o0P001=000=020003d00000d0000E0003o`0000d000?o0000F`000ol0000L0003om0000L0 00?@00002@000m00000600;o70001?l00?l50004d00000?@1`000m0000050007o`000?l0d0020004 d000d0l0000E00;o3P000ol0001K0003o`0001`000?od0001`000m0000090003d00000H00_lL0004 o`00o`D000C@00000m070003d00000D000Oo0000o`3@008000C@003@3`0001D000?o00003@000ol0 001K0003o`0001`000?od0001`000m0000090003d00000H00_lL0004o`00o`D000C@00000m070003 d00000D000Oo0000o`3@008000C@003@3`0001D000?o00003@000ol0001K0003o`0001`000?od000 1`000m0000090003d00000D000?o0?l03P000m00000;0004o`00o`D000C@00000m070003d00000D0 00Oo0000o`3@008000C@003@3`0001D000?o00003@000ol0001J0003d?l001d000?od0001`000m00 00090003d00000D000?o0?l03P000m00000;0004o`00o`D000C@00000m070003d00000@000?o0000 0P000ol0d0020006d000d03@3@0001D00_l>0003o`0005X000?@o`0070000ol0d0060003d03@00/0 00?@00001@000ol0o`0>0003d00000/000Co003o1@001=000003d0030=0000@000?@000010000ol0 00020006o`3@d03@0P000m00d00=00005@000ol0000=0003o`0005X000?@o`0070000ol0d0060003 d03@00/000?@00001@000ol0o`0>0005d0000=002@001?l00?l50003d00000K@1@000m0000040003 o`00008000Ko0=3@0=020003d03@00d000090003o`0000800_l50003o`0000d000?o0000FP000m3o 000L0003o`3@00H000?@0=002`000m0000050003o`3o00h000G@0000d0090004o`00o`D000?@0000 1]050003d00000@000?o00000P001_l0d=00d08000?@0=003@0000T000Go0000o`020003o`000080 00?o00003@000ol0001J0003d?l001`000?o0=001P000m00d00;0003d00000D000?o0?l03P001M00 003@00T000Co003o1@000m000006d0D000?@000010000ol000020006o`3@d03@0P000m00d00=0000 1P05o`8000Co003o1003o`d000?o0000FP000m3o000L0003o`3@00H000?@0=002`000m0000050003 o`3o00h000G@0000d0020003d00000@000Co003o0P001=000=0200K@1@000m0000040003o`0000<0 00God=00d0020003d03@00d000000`3oo`02o`050?l00?l00`001?l00?l40003o`0000d000?o0000 FP000m3o000L0003o`3@00H000?@0=002`000m0000050003o`3o00X000G@0000d0030004d000d0H0 00Ko0000o`02d0040=0000K@0P001=000=060003o`0000<000God=00d0020003d03@00;@2`0000L0 00?o0?l00`001?l00?l40003o`0000d000?o0000FP000m3o000L0003o`3@00H000?@0=002`000m00 00050003o`3o00X000G@0000d0030004d000d0D000?o00000P001Ol0d=0000;@00<0d=001M001@3@ 003@00H000?o00000`001Oo@d03@008000?@0=000]0;00002002o`<000Co003o10000ol0000=0003 o`0005X000?@o`0070000ol0d0060003d03@00/000?@00001@000ol0o`060005d0000=000`001M00 003@008000?@00000`000ol000020005o`3@d0000]001@3@d=0000G@0P000m0000030003o`0000@0 00Cod=000]000`3@0004d0X000090003o`0000800_l50003o`0000d000?o0000FP000m3o000L0003 o`3@00H000?@0=000P000m0000060003d00000D000Co003o1002d0<000G@0000d0030006d000d03@ 0`000ol000020005o`3@d0000]001`3@d=00d0000m020003d00000<000?o000010001?o@d002d003 0=3@00C@2P0001D00_l>0003o`00058000?@00001@000m3o000L0003o`3@00H000?@0=000P000m00 00060003d00000D000Co003o1002d0<000G@0000d0030006d000d03@0`001ol0003@o`000]00103@ d003d0<00m020003d00000<000?o00001@02d0030=3@00O@2P0001D000?o00003@000ol0001B0003 d00000D000?@o`0070000ol0d0060004d03@00;@1`02d0L000Co003o1003d08000G@0000d0030006 d000d03@0`001ol0003@o`001M00103@d=0400;@0P000m0000030003o`0000D00]000`3@d007d0X0 000E0003o`0000d000?o0000DP000m0000050003d?l001`000?o0=001P001=00d002d0L00]070004 o`00o`@00m020005d0000=000`001]000=00d0<000Oo0000d03o00G@00@0d03@1002d08000?@0000 0`000ol0000500;@00<0d=001m0:00005@000ol0000=0003o`00058000?@00001@000m3o000L0003 o`3@00H000?@0=000m0700;@1P001Ol0003o00@00m020005d0000=000`001]000=00d0<000Oo0000 d03o00O@00<0d0000`02d08000?@00000P02d0L03=0:00005@02o`h000?o0000DP000m0000050003 d?l001`000?o0=001P000m00d003d0D000C@0=3@1P001Ol0003o00@00m020005d0000=000`001]00 0=00d08000Co00000]000`3od006d0H00]020003d00000800]0600g@2P0001D000?o00003@000ol0 001B0003d00000D000?@o`0070000ol0d0060003d03@00?@00<0d0000P001=00d=060005o`000?l0 0P05d08000G@0000d0030006d000d03@0P001?l00002d0030=3@00K@1`04d0@00]000`3@000300g@ 2P0001D000?o00003@000ol0001B0003d00000D000?@o`0070001_l0d=00d0<000?@0=000m000`3@ 00020004d03@d0H000Ko0000o`06d08000G@0000d00200;@0P000m00d0020004o`0000;@00<0d=00 1]0700C@0`03d0030=0000<03M0:00005@000ol0000=0003o`00058000?@00001@000m3o000L0006 o`3@d03@0`000m00d005d0<000C@0=3@1P000ol000020003om3@00C@00@0d=3@0P000m00d002d080 00?@0=000P001?l00002d0030=3@00K@1`04d0<00m000`3@000300K@00<0d=001=0:00005@02o`h0 00?@0000DP000m0000050003d?l001`000Ko0=3@0=030003d03@00G@00D0d03@0002d0<000C@003o 10000oo@d004d0040=3@d08000?@0=000]0200?@0P001?l00002d0030=3@00K@1`05d0800m000`3@ 000300K@00<0d=001=0:00005@000ol0000=0003d000058000?@00001@000m3o000L0006o`3@d03@ 0`000m00d009d0030=3@00800]020003o`00008000?od=001=000`3@d008d0030=3@00;@00<0o`00 0`02d0030=3@00K@1`05d0030?o@00;@00<0d0000`05d0801]0:00005@000ol0000<0003om0005<0 00?@00001@000m3o000L0006o`3@d03@0`000m00d009d0030=3@00800]000`3@o`040003om3@01G@ 00?o00000P0;d0L01M000`3od002d0030=0000<01M000ol0d005d0X0000E0003o`0000`000?od?l0 D`000m0000050003d?l001`000Ko0=3@0=030003d03@00W@00<0d=000P02d0030=0000@000?od=00 5M000ol0000200_@1`02d0040=3@o`K@1005d0030?o@00@000?@0000200001D00_l=0003om3o05<0 00?@00001@000m3o000K0003o`0000;@00<0d0000P000m00d006d0040=3@00;@0P02d0030=0000@0 00?od=005M0500_@1`02d0030=3@00O@1005d0030?oo00@000?@0000200000P00_l400;o1@000ol0 000<0003om3o05<000?@00001@001=3o0=0J0003o`0000;@00L0d=3@0=0000O@00@0d=000]0200C@ 1P0Gd08000?@00002=000`3@00080003d03@00S@00<0d0001]0300;o0P000m00000800001`001?l0 0?l20004o`00o`@000?o000030000oo@o`1C0003d00000D000C@o`3@6P000ol00002d0070=3@d03@ 0005d0<00]000`3@d00200C@1P0Gd08000?@00002=000`3@00080003d03@00S@00<0d0001]0400?o 00?@0000200000X000Co003o0P000ol000020003o`0000`000?od?l0D`000m0000050004d?l0d1X0 00?o00000]001`3@d=00d0001M0300;@00D0d=3@0004d0H05m020003d00000K@00@0d03@2`000oo@ d00?d0L000?@0000200000030?oo00;o0`02o`<000Co003o1003o``000?od?l0D`000m0000050004 d?l0d1H000G@0000o`0200;@00L0d=3@0=0000;@00<0d=000`02d0050=3@d0001=040003d03@00?@ 0P0Ad0800]000`3@d004d0040=3od0X00_l00`3@d00:d08000?@00001P000m00000800002P001?l0 0?l20003o`00008000?o0=0030000oo@o`1C0003d00000<000S@0=3o0=00d1@000G@0000d00200;@ 00L0d=3@0=0000;@00<0d=000`06d0030=3@00;@1006d0800]000`3@d00`000ol0000800005@000ol0000K0003 o`0000<00m00103@d005d08000K@0=3@0=0600?@1`000m0000020005d03@d0001m000`3@00040003 o`000:80000E0003o`0001/00_l500;@00@0d=001M020006d03@d03@1P03d0L000?@00000P001M00 d=0000O@00<0d0000`000ol0002S00005@02oad000?o00000`02d0040=3@00G@0P001]00d=00d0H0 0m070003d000008000?@0=002M000`3@00030003o`000:<0000E0003o`0001d000?o00000P02d004 0=3@00G@0P04d0030=0000D00m070003d00000802]000`3@00040003o`000:@0000E0003o`0001d0 0_l300;@00@0d=001]000`3@d002d0030=3@00D00m070004d00000_@00<0d0000`02ojH0000E0003 o`0001h000Co00000]00103@d00;d0030=3@00@01=070004d00000_@1@02ojL0000E00;o80000ol0 0002d08000?@0=002]000`3@d00400C@0`000m000002d0<02m050003o`000:H0000E0003o`0001l0 0_l00`3@00020003d03@00[@00<0d=001004d0<00]000`3@d00300_@10000ol0002W00005@000ol0 000P00;o00G@0000d00200[@00<0d=001004d0<00]000`3@d00300_@0`000ol0002X00005@000ol0 000Q0003om00008000?@00003M0400C@0`02d0030=3@00<01m00103@d=0200;oZP0001D00_lS0005 d?l00=000P0=d0@01=000`3@0002d0030=3@00<01m001@3@d=0000;oZ`0001D000?o00008P001M3o o`3@00803]0300C@00<0d0000]001@3@d=0000S@00@0d=3@0_n/00005@000ol0000T00;o00?@0000 3]0300C@00<0d0000]001@3@d=0000S@00D0d=3@o`2]00005@000ol0000U0004om0000k@0`04d003 0=0000;@00<0d=002]00103@d=2^00005@02obL00_l01@3@d=0000[@0`04d0030=0000o@00@0d=3@ [P0000L01Ol200;o1@000ol0000W00;o0m000`3@d008d0<01=000`3@000?d004om3@d:h000090005 o`000?l00P000ol000020003o`0002T00m000`3@d008d0<05M001Ol0d03@0:h000090005o`000?l0 0P000ol000020003o`0002T00m000`3@d008d0<04m000oo@002b00002@001Ol0003o008000?o0000 0P03obT00m000oo@d008d0030=3@00g@00<0d=000m000`3@002b00002@001Ol0003o008000?o0000 0P000ol0000Z00;@00?od=000]000`3@d003d0030=3@00g@00<0d=000m000`3@002b00001`03o`<0 00Co003o10000ol0000Z00;@00?o0=000]000oo@d003d0030=3@00g@00?od=000]000ol0d02c0000 2@000ol0000200;o1@000ol0000Z00;@00?o0=000]000`3@d003d0030=3@00g@00<0d=000]000ol0 d02c00005@02ob/00]000ol0d002d0030=3@00?@00?od=003M001P3@d=00okD0000E0003o`0002X0 0]000ol0d002d0030=3@00?@00<0d=003M000`3@d0020003o`000;<0000E0003o`0002`000?o0=00 0]000`3@d00Cd0030=3@008000?o0000/`0001D000?o0000;P03d0030=3@01?@00<0d=00^00001D0 0_l_00?@00<0d=002=000`3@d004d0040=00d08000?@0000]P0001D000?o0000;`001=000002d003 0=3@00C@00<0d=001=00103@0=020003d0000;H0000E0003o`0002l000?@00000P000m00d005d003 0=3@00C@00@0d03@^`0001D000?o0000;`000m00000400K@00@0d=000m00103@0=2k00005@02oc00 00?@00001004d0<00]0200;@00@0d03@^`0001D000?o0000;`000m0000050003d03@00<00]050003 d03@0;/0000E0003o`0003L000?@000010000m0000030003d0000;/0000E0003o`0003L000?@0000 10000m0000030003d0000;/0000E00;o>0000m0000040003d0000<40000700Co0`02o`D000?o0000 =`000m00003800001`001?l00?l20004o`00o`@000?o0000=`000m000038000020000ol000020004 o`00o`@000?o0000=`000m00003800002@001Ol0003o008000?o00000P03ocL000?@0000b00000X0 00Co003o0P000ol0003o00P000070004o`00o`8000Co003oo`0:00002002o`@00_oo00/0003o01/0 003o01/00000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-69.8713, -62.7164, 3.20462, 0.493829}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData[".39 GMSK Transmit Signal"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The next set of cells calculates and plots the spectrum of a .39 GMSK data \ stream. This spectrum is plotted in conjunction with the MSK plot generated \ above and the 20 dB bandwidth is calculated."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "insig=OpenRead[\"Hard Disk:GMSKSIG.MAC\"];\n\ txsignal=Table[N[Read[insig]],{8000}];\nFourier[txsignal];\ntest2Q=Abs[%] \ Abs[%];\nListPlot[10 Log[10,Take[test2Q,800]],\n\t\ PlotJoined->True,PlotRange->All,\n\ PlotStyle->{Thickness[.001],RGBColor[0,0,1]}]\nClose[insig];"], "Input", AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "tt=Max[test2Q];\nttt=Flatten[Position[Take[test2Q,400],x_/;x>(tt/100)]];\n\ Print[\"Twenty dB width in KHz is \",N[5 (Max[ttt]-Min[ttt])]]"], "Input", AspectRatioFixed->True], Cell[TextData["Twenty dB width in KHz is 1065."], "Print", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Show[Out[14],Out[5]]"], "Input", AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00119048 0.463525 0.00772542 [ [(200)] .2619 .46353 0 2 Msboxa [(400)] .5 .46353 0 2 Msboxa [(600)] .7381 .46353 0 2 Msboxa [(800)] .97619 .46353 0 2 Msboxa [(-60)] .01131 0 1 0 Msboxa [(-50)] .01131 .07725 1 0 Msboxa [(-40)] .01131 .15451 1 0 Msboxa [(-30)] .01131 .23176 1 0 Msboxa [(-20)] .01131 .30902 1 0 Msboxa [(-10)] .01131 .38627 1 0 Msboxa [(10)] .01131 .54078 1 0 Msboxa [(20)] .01131 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .46353 m .2619 .46978 L s P [(200)] .2619 .46353 0 2 Mshowa p .002 w .5 .46353 m .5 .46978 L s P [(400)] .5 .46353 0 2 Mshowa p .002 w .7381 .46353 m .7381 .46978 L s P [(600)] .7381 .46353 0 2 Mshowa p .002 w .97619 .46353 m .97619 .46978 L s P [(800)] .97619 .46353 0 2 Mshowa p .001 w .07143 .46353 m .07143 .46728 L s P p .001 w .11905 .46353 m .11905 .46728 L s P p .001 w .16667 .46353 m .16667 .46728 L s P p .001 w .21429 .46353 m .21429 .46728 L s P p .001 w .30952 .46353 m .30952 .46728 L s P p .001 w .35714 .46353 m .35714 .46728 L s P p .001 w .40476 .46353 m .40476 .46728 L s P p .001 w .45238 .46353 m .45238 .46728 L s P p .001 w .54762 .46353 m .54762 .46728 L s P p .001 w .59524 .46353 m .59524 .46728 L s P p .001 w .64286 .46353 m .64286 .46728 L s P p .001 w .69048 .46353 m .69048 .46728 L s P p .001 w .78571 .46353 m .78571 .46728 L s P p .001 w .83333 .46353 m .83333 .46728 L s P p .001 w .88095 .46353 m .88095 .46728 L s P p .001 w .92857 .46353 m .92857 .46728 L s P p .002 w 0 .46353 m 1 .46353 L s P p .002 w .02381 0 m .03006 0 L s P [(-60)] .01131 0 1 0 Mshowa p .002 w .02381 .07725 m .03006 .07725 L s P [(-50)] .01131 .07725 1 0 Mshowa p .002 w .02381 .15451 m .03006 .15451 L s P [(-40)] .01131 .15451 1 0 Mshowa p .002 w .02381 .23176 m .03006 .23176 L s P [(-30)] .01131 .23176 1 0 Mshowa p .002 w .02381 .30902 m .03006 .30902 L s P [(-20)] .01131 .30902 1 0 Mshowa p .002 w .02381 .38627 m .03006 .38627 L s P [(-10)] .01131 .38627 1 0 Mshowa p .002 w .02381 .54078 m .03006 .54078 L s P [(10)] .01131 .54078 1 0 Mshowa p .002 w .02381 .61803 m .03006 .61803 L s P [(20)] .01131 .61803 1 0 Mshowa p .001 w .02381 .01545 m .02756 .01545 L s P p .001 w .02381 .0309 m .02756 .0309 L s P p .001 w .02381 .04635 m .02756 .04635 L s P p .001 w .02381 .0618 m .02756 .0618 L s P p .001 w .02381 .09271 m .02756 .09271 L s P p .001 w .02381 .10816 m .02756 .10816 L s P p .001 w .02381 .12361 m .02756 .12361 L s P p .001 w .02381 .13906 m .02756 .13906 L s P p .001 w .02381 .16996 m .02756 .16996 L s P p .001 w .02381 .18541 m .02756 .18541 L s P p .001 w .02381 .20086 m .02756 .20086 L s P p .001 w .02381 .21631 m .02756 .21631 L s P p .001 w .02381 .24721 m .02756 .24721 L s P p .001 w .02381 .26266 m .02756 .26266 L s P p .001 w .02381 .27812 m .02756 .27812 L s P p .001 w .02381 .29357 m .02756 .29357 L s P p .001 w .02381 .32447 m .02756 .32447 L s P p .001 w .02381 .33992 m .02756 .33992 L s P p .001 w .02381 .35537 m .02756 .35537 L s P p .001 w .02381 .37082 m .02756 .37082 L s P p .001 w .02381 .40172 m .02756 .40172 L s P p .001 w .02381 .41717 m .02756 .41717 L s P p .001 w .02381 .43262 m .02756 .43262 L s P p .001 w .02381 .44807 m .02756 .44807 L s P p .001 w .02381 .47898 m .02756 .47898 L s P p .001 w .02381 .49443 m .02756 .49443 L s P p .001 w .02381 .50988 m .02756 .50988 L s P p .001 w .02381 .52533 m .02756 .52533 L s P p .001 w .02381 .55623 m .02756 .55623 L s P p .001 w .02381 .57168 m .02756 .57168 L s P p .001 w .02381 .58713 m .02756 .58713 L s P p .001 w .02381 .60258 m .02756 .60258 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .001 w .025 .37596 m .02619 .37658 L .02738 .37714 L .02857 .37764 L .02976 .37807 L .03095 .37844 L .03214 .37875 L .03333 .37899 L .03452 .37917 L .03571 .37927 L .0369 .37931 L .0381 .37928 L .03929 .37918 L .04048 .379 L .04167 .37875 L .04286 .37842 L .04405 .37801 L .04524 .37751 L .04643 .37693 L .04762 .37625 L .04881 .37548 L .05 .3746 L .05119 .37362 L .05238 .37253 L .05357 .37132 L .05476 .36998 L .05595 .36851 L .05714 .36689 L .05833 .36511 L .05952 .36317 L .06071 .36103 L .0619 .3587 L .0631 .35614 L .06429 .35332 L .06548 .35023 L .06667 .34683 L .06786 .34306 L .06905 .33888 L .07024 .33422 L .07143 .32898 L .07262 .32306 L .07381 .31628 L .075 .30844 L .07619 .29919 L .07738 .28804 L .07857 .27414 L .07976 .25589 L .08095 .22972 L .08214 .18424 L s .08223 0 m .08214 .18424 L s .08443 0 m .08452 .18625 L s .08452 .18625 m .08571 .23375 L .0869 .26193 L .0881 .28219 L .08929 .29811 L .09048 .31128 L .09167 .32254 L .09286 .33241 L .09405 .34121 L .09524 .34916 L .09643 .35643 L .09762 .36313 L .09881 .36934 L .1 .37515 L .10119 .3806 L .10238 .38574 L .10357 .39061 L .10476 .39523 L .10595 .39963 L .10714 .40384 L .10833 .40787 L .10952 .41173 L .11071 .41544 L .1119 .41902 L .1131 .42246 L .11429 .42579 L .11548 .42901 L .11667 .43212 L .11786 .43514 L .11905 .43807 L .12024 .44092 L .12143 .44368 L .12262 .44636 L .12381 .44898 L .125 .45153 L .12619 .45401 L .12738 .45643 L .12857 .45879 L .12976 .46109 L .13095 .46334 L .13214 .46553 L .13333 .46768 L .13452 .46978 L .13571 .47183 L .1369 .47384 L .1381 .47581 L .13929 .47773 L .14048 .47962 L .14167 .48146 L .14286 .48327 L Mistroke .14405 .48504 L .14524 .48678 L .14643 .48848 L .14762 .49015 L .14881 .49178 L .15 .49339 L .15119 .49496 L .15238 .49651 L .15357 .49802 L .15476 .49951 L .15595 .50096 L .15714 .50239 L .15833 .5038 L .15952 .50518 L .16071 .50653 L .1619 .50786 L .1631 .50916 L .16429 .51044 L .16548 .5117 L .16667 .51293 L .16786 .51414 L .16905 .51533 L .17024 .51649 L .17143 .51764 L .17262 .51876 L .17381 .51986 L .175 .52094 L .17619 .52201 L .17738 .52305 L .17857 .52407 L .17976 .52507 L .18095 .52606 L .18214 .52702 L .18333 .52797 L .18452 .5289 L .18571 .52981 L .1869 .5307 L .1881 .53158 L .18929 .53244 L .19048 .53328 L .19167 .5341 L .19286 .53491 L .19405 .5357 L .19524 .53647 L .19643 .53723 L .19762 .53797 L .19881 .5387 L .2 .53941 L .20119 .5401 L .20238 .56489 L Mistroke .20357 .54144 L .20476 .54209 L .20595 .54272 L .20714 .54334 L .20833 .54395 L .20952 .54453 L .21071 .54511 L .2119 .54567 L .2131 .54621 L .21429 .54674 L .21548 .54726 L .21667 .54776 L .21786 .54825 L .21905 .54872 L .22024 .54918 L .22143 .54963 L .22262 .55006 L .22381 .55048 L .225 .55089 L .22619 .55128 L .22738 .55166 L .22857 .55202 L .22976 .55237 L .23095 .55271 L .23214 .55304 L .23333 .55335 L .23452 .55365 L .23571 .55393 L .2369 .55421 L .2381 .55447 L .23929 .55471 L .24048 .55495 L .24167 .55517 L .24286 .55538 L .24405 .55557 L .24524 .55576 L .24643 .55593 L .24762 .55608 L .24881 .55623 L .25 .55636 L .25119 .55648 L .25238 .55659 L .25357 .55668 L .25476 .55676 L .25595 .55683 L .25714 .55689 L .25833 .55693 L .25952 .55696 L .26071 .55698 L .2619 .55699 L Mistroke .2631 .55699 L .26429 .55698 L .26548 .55696 L .26667 .55693 L .26786 .55689 L .26905 .55683 L .27024 .55676 L .27143 .55668 L .27262 .55659 L .27381 .55648 L .275 .55636 L .27619 .55623 L .27738 .55608 L .27857 .55593 L .27976 .55576 L .28095 .55557 L .28214 .55538 L .28333 .55517 L .28452 .55495 L .28571 .55471 L .2869 .55447 L .2881 .55421 L .28929 .55393 L .29048 .55365 L .29167 .55335 L .29286 .55304 L .29405 .55271 L .29524 .55237 L .29643 .55202 L .29762 .55166 L .29881 .55128 L .3 .55089 L .30119 .55048 L .30238 .55006 L .30357 .54963 L .30476 .54918 L .30595 .54872 L .30714 .54825 L .30833 .54776 L .30952 .54726 L .31071 .54674 L .3119 .54621 L .3131 .54567 L .31429 .54511 L .31548 .54453 L .31667 .54395 L .31786 .54334 L .31905 .54272 L .32024 .54209 L .32143 .54144 L Mistroke .32262 .56489 L .32381 .5401 L .325 .53941 L .32619 .5387 L .32738 .53797 L .32857 .53723 L .32976 .53647 L .33095 .5357 L .33214 .53491 L .33333 .5341 L .33452 .53328 L .33571 .53244 L .3369 .53158 L .3381 .5307 L .33929 .52981 L .34048 .5289 L .34167 .52797 L .34286 .52702 L .34405 .52606 L .34524 .52507 L .34643 .52407 L .34762 .52305 L .34881 .52201 L .35 .52094 L .35119 .51986 L .35238 .51876 L .35357 .51764 L .35476 .51649 L .35595 .51533 L .35714 .51414 L .35833 .51293 L .35952 .5117 L .36071 .51044 L .3619 .50916 L .3631 .50786 L .36429 .50653 L .36548 .50518 L .36667 .5038 L .36786 .50239 L .36905 .50096 L .37024 .49951 L .37143 .49802 L .37262 .49651 L .37381 .49496 L .375 .49339 L .37619 .49178 L .37738 .49015 L .37857 .48848 L .37976 .48678 L .38095 .48504 L Mistroke .38214 .48327 L .38333 .48146 L .38452 .47962 L .38571 .47773 L .3869 .47581 L .3881 .47384 L .38929 .47183 L .39048 .46978 L .39167 .46768 L .39286 .46553 L .39405 .46334 L .39524 .46109 L .39643 .45879 L .39762 .45643 L .39881 .45401 L .4 .45153 L .40119 .44898 L .40238 .44636 L .40357 .44368 L .40476 .44092 L .40595 .43807 L .40714 .43514 L .40833 .43212 L .40952 .42901 L .41071 .42579 L .4119 .42246 L .4131 .41902 L .41429 .41544 L .41548 .41173 L .41667 .40787 L .41786 .40384 L .41905 .39963 L .42024 .39523 L .42143 .39061 L .42262 .38574 L .42381 .3806 L .425 .37515 L .42619 .36934 L .42738 .36313 L .42857 .35643 L .42976 .34916 L .43095 .34121 L .43214 .33241 L .43333 .32254 L .43452 .31128 L .43571 .29811 L .4369 .28219 L .4381 .26193 L .43929 .23375 L .44048 .18625 L Mistroke Mfstroke .44057 0 m .44048 .18625 L s .44277 0 m .44286 .18424 L s .44286 .18424 m .44405 .22972 L .44524 .25589 L .44643 .27414 L .44762 .28804 L .44881 .29919 L .45 .30844 L .45119 .31628 L .45238 .32306 L .45357 .32898 L .45476 .33422 L .45595 .33888 L .45714 .34306 L .45833 .34683 L .45952 .35023 L .46071 .35332 L .4619 .35614 L .4631 .3587 L .46429 .36103 L .46548 .36317 L .46667 .36511 L .46786 .36689 L .46905 .36851 L .47024 .36998 L .47143 .37132 L .47262 .37253 L .47381 .37362 L .475 .3746 L .47619 .37548 L .47738 .37625 L .47857 .37693 L .47976 .37751 L .48095 .37801 L .48214 .37842 L .48333 .37875 L .48452 .379 L .48571 .37918 L .4869 .37928 L .4881 .37931 L .48929 .37927 L .49048 .37917 L .49167 .37899 L .49286 .37875 L .49405 .37844 L .49524 .37807 L .49643 .37764 L .49762 .37714 L .49881 .37658 L .5 .37596 L .50119 .37527 L Mistroke .50238 .37453 L .50357 .37372 L .50476 .37285 L .50595 .37191 L .50714 .37091 L .50833 .36985 L .50952 .36872 L .51071 .36753 L .5119 .36627 L .5131 .36494 L .51429 .36355 L .51548 .36208 L .51667 .36054 L .51786 .35892 L .51905 .35722 L .52024 .35545 L .52143 .35359 L .52262 .35165 L .52381 .34962 L .525 .34749 L .52619 .34526 L .52738 .34294 L .52857 .3405 L .52976 .33795 L .53095 .33528 L .53214 .33248 L .53333 .32954 L .53452 .32645 L .53571 .3232 L .5369 .31978 L .5381 .31617 L .53929 .31235 L .54048 .3083 L .54167 .304 L .54286 .29942 L .54405 .29452 L .54524 .28925 L .54643 .28357 L .54762 .2774 L .54881 .27065 L .55 .26321 L .55119 .25491 L .55238 .24554 L .55357 .23476 L .55476 .22208 L .55595 .20663 L .55714 .18684 L .55833 .15912 L .55952 .11208 L Mfstroke .55958 0 m .55952 .11208 L s .56185 0 m .5619 .11096 L s .5619 .11096 m .5631 .15689 L .56429 .18348 L .56548 .20216 L .56667 .21649 L .56786 .22805 L .56905 .23771 L .57024 .24596 L .57143 .25314 L .57262 .25946 L .57381 .26509 L .575 .27014 L .57619 .2747 L .57738 .27884 L .57857 .28262 L .57976 .28608 L .58095 .28925 L .58214 .29217 L .58333 .29487 L .58452 .29735 L .58571 .29965 L .5869 .30177 L .5881 .30372 L .58929 .30553 L .59048 .3072 L .59167 .30874 L .59286 .31016 L .59405 .31146 L .59524 .31265 L .59643 .31374 L .59762 .31473 L .59881 .31562 L .6 .31642 L .60119 .31714 L .60238 .31777 L .60357 .31831 L .60476 .31878 L .60595 .31917 L .60714 .31949 L .60833 .31973 L .60952 .31991 L .61071 .32001 L .6119 .32004 L .6131 .32001 L .61429 .31991 L .61548 .31974 L .61667 .31951 L .61786 .31921 L .61905 .31885 L .62024 .31842 L Mistroke .62143 .31793 L .62262 .31737 L .62381 .31675 L .625 .31606 L .62619 .31531 L .62738 .31449 L .62857 .3136 L .62976 .31265 L .63095 .31162 L .63214 .31053 L .63333 .30936 L .63452 .30812 L .63571 .30681 L .6369 .30542 L .6381 .30395 L .63929 .3024 L .64048 .30076 L .64167 .29903 L .64286 .29722 L .64405 .2953 L .64524 .29329 L .64643 .29117 L .64762 .28895 L .64881 .2866 L .65 .28414 L .65119 .28154 L .65238 .2788 L .65357 .27591 L .65476 .27286 L .65595 .26964 L .65714 .26622 L .65833 .2626 L .65952 .25874 L .66071 .25463 L .6619 .25024 L .6631 .24553 L .66429 .24045 L .66548 .23495 L .66667 .22896 L .66786 .22239 L .66905 .21513 L .67024 .20702 L .67143 .19782 L .67262 .18722 L .67381 .17471 L .675 .15944 L .67619 .13982 L .67738 .11227 L .67857 .0654 L Mfstroke .6786 0 m .67857 .0654 L s .68092 0 m .68095 .06462 L s .68095 .06462 m .68214 .11071 L .68333 .13747 L .68452 .15631 L .68571 .1708 L .6869 .18253 L .6881 .19234 L .68929 .20075 L .69048 .20809 L .69167 .21456 L .69286 .22035 L .69405 .22555 L .69524 .23027 L .69643 .23456 L .69762 .23849 L .69881 .2421 L .7 .24542 L .70119 .24849 L .70238 .25133 L .70357 .25396 L .70476 .2564 L .70595 .25866 L .70714 .26077 L .70833 .26272 L .70952 .26453 L .71071 .26621 L .7119 .26776 L .7131 .2692 L .71429 .27053 L .71548 .27175 L .71667 .27288 L .71786 .2739 L .71905 .27484 L .72024 .27568 L .72143 .27645 L .72262 .27712 L .72381 .27772 L .725 .27824 L .72619 .27869 L .72738 .27906 L .72857 .27936 L .72976 .27959 L .73095 .27975 L .73214 .27984 L .73333 .27986 L .73452 .27982 L .73571 .2797 L .7369 .27953 L .7381 .27928 L .73929 .27898 L Mistroke .74048 .2786 L .74167 .27816 L .74286 .27766 L .74405 .27709 L .74524 .27645 L .74643 .27575 L .74762 .27498 L .74881 .27413 L .75 .27322 L .75119 .27224 L .75238 .27119 L .75357 .27006 L .75476 .26886 L .75595 .26758 L .75714 .26622 L .75833 .26477 L .75952 .26324 L .76071 .26162 L .7619 .25991 L .7631 .25811 L .76429 .2562 L .76548 .25419 L .76667 .25207 L .76786 .24983 L .76905 .24746 L .77024 .24497 L .77143 .24233 L .77262 .23954 L .77381 .23659 L .775 .23347 L .77619 .23015 L .77738 .22663 L .77857 .22287 L .77976 .21886 L .78095 .21457 L .78214 .20995 L .78333 .20497 L .78452 .19956 L .78571 .19367 L .7869 .1872 L .7881 .18003 L .78929 .17201 L .79048 .16291 L .79167 .1524 L .79286 .13998 L .79405 .1248 L .79524 .10527 L .79643 .07782 L .79762 .03103 L Mfstroke .79763 0 m .79762 .03103 L s .79998 0 m .8 .03043 L s .8 .03043 m .80119 .07661 L .80238 .10346 L .80357 .12239 L .80476 .13696 L .80595 .14878 L .80714 .15868 L .80833 .16718 L .80952 .17459 L .81071 .18116 L .8119 .18702 L .8131 .19231 L .81429 .19711 L .81548 .20149 L .81667 .2055 L .81786 .20919 L .81905 .2126 L .82024 .21575 L .82143 .21867 L .82262 .22138 L .82381 .2239 L .825 .22625 L .82619 .22843 L .82738 .23046 L .82857 .23235 L .82976 .23411 L .83095 .23574 L .83214 .23726 L .83333 .23866 L .83452 .23996 L .83571 .24116 L .8369 .24226 L .8381 .24327 L .83929 .2442 L .84048 .24503 L .84167 .24579 L .84286 .24646 L .84405 .24705 L .84524 .24757 L .84643 .24802 L .84762 .24839 L .84881 .24869 L .85 .24892 L .85119 .24908 L .85238 .24918 L .85357 .2492 L .85476 .24916 L .85595 .24906 L .85714 .24888 L .85833 .24865 L Mistroke .85952 .24834 L .86071 .24797 L .8619 .24754 L .8631 .24704 L .86429 .24647 L .86548 .24583 L .86667 .24513 L .86786 .24435 L .86905 .24351 L .87024 .2426 L .87143 .24161 L .87262 .24055 L .87381 .23941 L .875 .23819 L .87619 .2369 L .87738 .23552 L .87857 .23405 L .87976 .2325 L .88095 .23085 L .88214 .22911 L .88333 .22727 L .88452 .22532 L .88571 .22326 L .8869 .22108 L .8881 .21878 L .88929 .21635 L .89048 .21377 L .89167 .21105 L .89286 .20816 L .89405 .20509 L .89524 .20184 L .89643 .19837 L .89762 .19468 L .89881 .19073 L .9 .18649 L .90119 .18193 L .90238 .17701 L .90357 .17167 L .90476 .16583 L .90595 .15942 L .90714 .15231 L .90833 .14435 L .90952 .1353 L .91071 .12485 L .9119 .11249 L .9131 .09737 L .91429 .0779 L .91548 .0505 L .91667 .00377 L Mfstroke .91667 0 m .91667 .00377 L s .91905 0 m .91905 .00328 L s .91905 .00328 m .92024 .04951 L .92143 .07642 L .92262 .0954 L .92381 .11003 L .925 .1219 L .92619 .13186 L .92738 .14041 L .92857 .14788 L .92976 .1545 L .93095 .16042 L .93214 .16576 L .93333 .17061 L .93452 .17504 L .93571 .17911 L .9369 .18285 L .9381 .18631 L .93929 .18951 L .94048 .19249 L .94167 .19525 L .94286 .19782 L .94405 .20021 L .94524 .20245 L .94643 .20453 L .94762 .20647 L .94881 .20828 L .95 .20996 L .95119 .21153 L .95238 .21298 L .95357 .21433 L .95476 .21558 L .95595 .21673 L .95714 .21779 L .95833 .21876 L .95952 .21965 L .96071 .22045 L .9619 .22117 L .9631 .22182 L .96429 .22238 L .96548 .22288 L .96667 .2233 L .96786 .22364 L .96905 .22392 L .97024 .22413 L .97143 .22427 L .97262 .22434 L .97381 .22435 L .975 .22429 L .97619 .22416 L s P p 0 0 1 r .001 w .025 .2493 m .02619 .37148 L .02738 .27319 L .02857 .2659 L .02976 .34947 L .03095 .32997 L .03214 .34379 L .03333 .31074 L .03452 .31455 L .03571 .34141 L .0369 .22002 L .0381 .30661 L .03929 .31977 L .04048 .27591 L .04167 .29331 L .04286 .2876 L .04405 .32463 L .04524 .31606 L .04643 .29265 L .04762 .34433 L .04881 .28993 L .05 .26797 L .05119 .32313 L .05238 .26127 L .05357 .30617 L .05476 .29668 L .05595 .33961 L .05714 .3289 L .05833 .30674 L .05952 .26912 L .06071 .1866 L .0619 .30796 L .0631 .35989 L .06429 .27359 L .06548 .35555 L .06667 .31301 L .06786 .32635 L .06905 .33994 L .07024 .36232 L .07143 .27823 L .07262 .34181 L .07381 .34807 L .075 .32148 L .07619 .29717 L .07738 .27387 L .07857 .32413 L .07976 .29413 L .08095 .23943 L .08214 .30501 L .08333 .14447 L Mistroke .08452 .29931 L .08571 .30876 L .0869 .31412 L .0881 .31312 L .08929 .28941 L .09048 .20493 L .09167 .27199 L .09286 .26735 L .09405 .24838 L .09524 .30861 L .09643 .30213 L .09762 .28076 L .09881 .31254 L .1 .32552 L .10119 .28769 L .10238 .33009 L .10357 .2697 L .10476 .36034 L .10595 .34126 L .10714 .34329 L .10833 .37107 L .10952 .32883 L .11071 .37823 L .1119 .37014 L .1131 .33919 L .11429 .30215 L .11548 .39349 L .11667 .29334 L .11786 .35087 L .11905 .35032 L .12024 .39151 L .12143 .41289 L .12262 .33852 L .12381 .37831 L .125 .44247 L .12619 .41355 L .12738 .41509 L .12857 .40775 L .12976 .3941 L .13095 .45499 L .13214 .3608 L .13333 .44197 L .13452 .32765 L .13571 .33946 L .1369 .46021 L .1381 .41161 L .13929 .49348 L .14048 .40898 L .14167 .4423 L .14286 .3582 L Mistroke .14405 .47459 L .14524 .51359 L .14643 .41593 L .14762 .45513 L .14881 .39763 L .15 .48057 L .15119 .44448 L .15238 .4727 L .15357 .39592 L .15476 .51851 L .15595 .50122 L .15714 .46972 L .15833 .50298 L .15952 .48494 L .16071 .48982 L .1619 .46046 L .1631 .48769 L .16429 .36596 L .16548 .46176 L .16667 .46871 L .16786 .49796 L .16905 .51782 L .17024 .52936 L .17143 .38339 L .17262 .54341 L .17381 .49777 L .175 .53137 L .17619 .48459 L .17738 .46085 L .17857 .49481 L .17976 .49008 L .18095 .48966 L .18214 .44769 L .18333 .44611 L .18452 .44454 L .18571 .4961 L .1869 .5082 L .1881 .53059 L .18929 .55232 L .19048 .51955 L .19167 .39427 L .19286 .46668 L .19405 .48113 L .19524 .53832 L .19643 .5175 L .19762 .51669 L .19881 .49206 L .2 .49976 L .20119 .55142 L .20238 .5569 L Mistroke .20357 .39181 L .20476 .56004 L .20595 .55461 L .20714 .51135 L .20833 .4917 L .20952 .52295 L .21071 .52312 L .2119 .55203 L .2131 .50501 L .21429 .49292 L .21548 .44156 L .21667 .54411 L .21786 .57824 L .21905 .55376 L .22024 .53115 L .22143 .53022 L .22262 .48579 L .22381 .47015 L .225 .4837 L .22619 .53237 L .22738 .53713 L .22857 .53241 L .22976 .50861 L .23095 .52652 L .23214 .58289 L .23333 .5529 L .23452 .59605 L .23571 .47311 L .2369 .58672 L .2381 .5801 L .23929 .55598 L .24048 .54225 L .24167 .53557 L .24286 .47217 L .24405 .56623 L .24524 .53785 L .24643 .56349 L .24762 .56128 L .24881 .58585 L .25 .54311 L .25119 .58223 L .25238 .60449 L .25357 .48555 L .25476 .56618 L .25595 .52889 L .25714 .57909 L .25833 .51133 L .25952 .54936 L .26071 .50073 L Mfstroke .26184 .61803 m .26071 .50073 L s .26207 .61803 m .2631 .58051 L s .2631 .58051 m .26429 .45727 L .26548 .5549 L .26667 .51321 L .26786 .61012 L .26905 .54097 L .27024 .58472 L .27143 .46928 L .27262 .44999 L .27381 .57575 L .275 .47414 L .27619 .59715 L .27738 .55532 L .27857 .56021 L .27976 .56312 L .28095 .56091 L .28214 .58503 L .28333 .52844 L .28452 .54267 L .28571 .58479 L .2869 .55769 L .2881 .541 L .28929 .41985 L .29048 .5024 L .29167 .57367 L .29286 .5257 L .29405 .56492 L .29524 .57559 L .29643 .53974 L .29762 .51038 L .29881 .55427 L .3 .47331 L .30119 .57083 L .30238 .55487 L .30357 .54741 L .30476 .53051 L .30595 .46947 L .30714 .53122 L .30833 .52473 L .30952 .5224 L .31071 .56269 L .3119 .50779 L .3131 .50329 L .31429 .58378 L .31548 .50976 L .31667 .49562 L .31786 .50628 L .31905 .57446 L .32024 .46946 L .32143 .54928 L Mistroke .32262 .52264 L .32381 .54388 L .325 .47505 L .32619 .56587 L .32738 .50431 L .32857 .48196 L .32976 .49676 L .33095 .56835 L .33214 .49268 L .33333 .49534 L .33452 .54105 L .33571 .49659 L .3369 .50304 L .3381 .51004 L .33929 .42953 L .34048 .50499 L .34167 .51388 L .34286 .51565 L .34405 .53268 L .34524 .43628 L .34643 .51372 L .34762 .4559 L .34881 .50139 L .35 .52291 L .35119 .51521 L .35238 .47628 L .35357 .51589 L .35476 .44631 L .35595 .3863 L .35714 .47364 L .35833 .49938 L .35952 .51656 L .36071 .46553 L .3619 .46057 L .3631 .51855 L .36429 .48962 L .36548 .48738 L .36667 .47796 L .36786 .46759 L .36905 .51192 L .37024 .40708 L .37143 .49171 L .37262 .35421 L .37381 .39052 L .375 .49244 L .37619 .45039 L .37738 .51221 L .37857 .40041 L .37976 .44245 L .38095 .37002 L Mistroke .38214 .46434 L .38333 .51156 L .38452 .37449 L .38571 .42336 L .3869 .39179 L .3881 .45658 L .38929 .41558 L .39048 .44411 L .39167 .37936 L .39286 .477 L .39405 .44399 L .39524 .41965 L .39643 .42831 L .39762 .40179 L .39881 .42739 L .4 .40139 L .40119 .39129 L .40238 .3161 L .40357 .37658 L .40476 .35501 L .40595 .4067 L .40714 .40755 L .40833 .40542 L .40952 .31113 L .41071 .41452 L .4119 .33959 L .4131 .37845 L .41429 .35028 L .41548 .28161 L .41667 .35465 L .41786 .28968 L .41905 .33452 L .42024 .28986 L .42143 .21538 L .42262 .30464 L .42381 .32693 L .425 .30902 L .42619 .26357 L .42738 .31949 L .42857 .26444 L .42976 .26339 L .43095 .27427 L .43214 .29406 L .43333 .22987 L .43452 .3091 L .43571 .30788 L .4369 .26021 L .4381 .3167 L .43929 .27258 L .44048 .20824 L Mistroke .44167 .27873 L .44286 .25242 L .44405 .29226 L .44524 .33119 L .44643 .30463 L .44762 .3377 L .44881 .33651 L .45 .26009 L .45119 .32373 L .45238 .27869 L .45357 .29737 L .45476 .32857 L .45595 .31714 L .45714 .337 L .45833 .29833 L .45952 .29153 L .46071 .2865 L .4619 .31182 L .4631 .27886 L .46429 .21256 L .46548 .28721 L .46667 .31364 L .46786 .30039 L .46905 .30574 L .47024 .31361 L .47143 .32847 L .47262 .35114 L .47381 .30794 L .475 .3251 L .47619 .32201 L .47738 .27285 L .47857 .2876 L .47976 .29954 L .48095 .26344 L .48214 .31612 L .48333 .15764 L .48452 .25927 L .48571 .32094 L .4869 .34297 L .4881 .29393 L .48929 .32963 L .49048 .28675 L .49167 .23942 L .49286 .2834 L .49405 .29667 L .49524 .29297 L .49643 .2953 L .49762 .32321 L .49881 .30882 L .5 .33755 L Mistroke .50119 .3341 L .50238 .28755 L .50357 .3183 L .50476 .30592 L .50595 .33137 L .50714 .27973 L .50833 .29421 L .50952 .28177 L .51071 .29647 L .5119 .26096 L .5131 .27395 L .51429 .3222 L .51548 .27561 L .51667 .26802 L .51786 .28428 L .51905 .27334 L .52024 .25016 L .52143 .16085 L .52262 .23534 L .52381 .26005 L .525 .19978 L .52619 .22172 L .52738 .23093 L .52857 .20782 L .52976 .27701 L .53095 .20502 L .53214 .23642 L .53333 .29036 L .53452 .21048 L .53571 .27366 L .5369 .26977 L .5381 .28411 L .53929 .25539 L .54048 .27907 L .54167 .27382 L .54286 .27115 L .54405 .28258 L .54524 .26578 L .54643 .26105 L .54762 .28552 L .54881 .28623 L .55 .27316 L .55119 .28309 L .55238 .27816 L .55357 .28241 L .55476 .28179 L .55595 .27274 L .55714 .28372 L .55833 .2578 L .55952 .27009 L Mistroke .56071 .25086 L .5619 .24926 L .5631 .23016 L .56429 .2351 L .56548 .22295 L .56667 .23486 L .56786 .19345 L .56905 .13485 L .57024 .16724 L .57143 .1885 L .57262 .13166 L .57381 .11786 L .575 .19158 L .57619 .18739 L .57738 .18263 L .57857 .20675 L .57976 .2137 L .58095 .23474 L .58214 .24263 L .58333 .22912 L .58452 .24999 L .58571 .25162 L .5869 .2587 L .5881 .25421 L .58929 .26189 L .59048 .26576 L .59167 .26051 L .59286 .26735 L .59405 .26433 L .59524 .27331 L .59643 .27305 L .59762 .26521 L .59881 .26528 L .6 .26886 L .60119 .26811 L .60238 .26704 L .60357 .26375 L .60476 .26036 L .60595 .25433 L .60714 .25712 L .60833 .25005 L .60952 .24512 L .61071 .24108 L .6119 .23297 L .6131 .22412 L .61429 .21744 L .61548 .20332 L .61667 .18245 L .61786 .1561 L .61905 .12156 L Mistroke .62024 .02746 L .62143 .12928 L .62262 .10664 L .62381 .14792 L .625 .17234 L .62619 .2053 L .62738 .20343 L .62857 .22177 L .62976 .22452 L .63095 .23496 L .63214 .23973 L .63333 .24117 L .63452 .24219 L .63571 .24729 L .6369 .25563 L .6381 .25692 L .63929 .2559 L .64048 .25915 L .64167 .26041 L .64286 .26096 L .64405 .26267 L .64524 .26178 L .64643 .26104 L .64762 .25885 L .64881 .26181 L .65 .25679 L .65119 .25272 L .65238 .25392 L .65357 .24852 L .65476 .2458 L .65595 .23868 L .65714 .23549 L .65833 .23049 L .65952 .22405 L .66071 .21537 L .6619 .20507 L .6631 .19033 L .66429 .17574 L .66548 .16156 L .66667 .13939 L .66786 .0885 L .66905 .00843 L .67024 .08174 L .67143 .14246 L .67262 .15711 L .67381 .17517 L .675 .19522 L .67619 .20266 L .67738 .21482 L .67857 .22307 L Mistroke .67976 .22731 L .68095 .23416 L .68214 .23756 L .68333 .24029 L .68452 .24485 L .68571 .24672 L .6869 .2488 L .6881 .2519 L .68929 .25226 L .69048 .25354 L .69167 .25389 L .69286 .25382 L .69405 .25392 L .69524 .25297 L .69643 .25225 L .69762 .24968 L .69881 .24779 L .7 .24535 L .70119 .24252 L .70238 .23864 L .70357 .23476 L .70476 .22966 L .70595 .22405 L .70714 .21709 L .70833 .20972 L .70952 .20012 L .71071 .18891 L .7119 .17481 L .7131 .15745 L .71429 .13338 L .71548 .09355 L Mfstroke .71639 0 m .71548 .09355 L s .71703 0 m .71786 .06389 L s .71786 .06389 m .71905 .11835 L .72024 .14739 L .72143 .16669 L .72262 .18162 L .72381 .19434 L .725 .20364 L .72619 .21129 L .72738 .21842 L .72857 .22383 L .72976 .22914 L .73095 .23306 L .73214 .23663 L .73333 .23973 L .73452 .24212 L .73571 .24411 L .7369 .24558 L .7381 .2465 L .73929 .24733 L .74048 .24741 L .74167 .24714 L .74286 .24659 L .74405 .24567 L .74524 .24388 L .74643 .24221 L .74762 .23972 L .74881 .23681 L .75 .23337 L .75119 .2294 L .75238 .22494 L .75357 .21923 L .75476 .21299 L .75595 .20572 L .75714 .19695 L .75833 .1864 L .75952 .17326 L .76071 .15691 L .7619 .1342 L .7631 .1016 L .76429 .0289 L .76548 .03212 L .76667 .10056 L .76786 .13437 L .76905 .15596 L .77024 .172 L .77143 .18481 L .77262 .19495 L .77381 .20342 L .775 .21055 L .77619 .21653 L Mistroke .77738 .22179 L .77857 .22617 L .77976 .22983 L .78095 .23292 L .78214 .23551 L .78333 .23758 L .78452 .23923 L .78571 .24036 L .7869 .24112 L .7881 .24144 L .78929 .24134 L .79048 .24086 L .79167 .23994 L .79286 .23861 L .79405 .23686 L .79524 .23461 L .79643 .23193 L .79762 .22867 L .79881 .22486 L .8 .2204 L .80119 .2152 L .80238 .20912 L .80357 .20205 L .80476 .19367 L .80595 .18378 L .80714 .17173 L .80833 .15642 L .80952 .13641 L .81071 .10714 L .8119 .05707 L .8131 .01182 L .81429 .08375 L .81548 .12156 L .81667 .14535 L .81786 .16276 L .81905 .17614 L .82024 .18692 L .82143 .19577 L .82262 .20321 L .82381 .20958 L .825 .21491 L .82619 .21958 L .82738 .22344 L .82857 .22671 L .82976 .22948 L .83095 .23167 L .83214 .23342 L .83333 .23473 L .83452 .23556 L .83571 .23606 L Mistroke .8369 .23609 L .8381 .23571 L .83929 .23489 L .84048 .2337 L .84167 .23208 L .84286 .23003 L .84405 .22748 L .84524 .22436 L .84643 .22074 L .84762 .21647 L .84881 .2115 L .85 .20571 L .85119 .19892 L .85238 .19102 L .85357 .18149 L .85476 .17017 L .85595 .15605 L .85714 .13772 L .85833 .11222 L .85952 .07228 L .86071 .01604 L .8619 .06723 L .8631 .10908 L .86429 .13504 L .86548 .15363 L .86667 .16783 L .86786 .17921 L .86905 .18851 L .87024 .19637 L .87143 .20297 L .87262 .20864 L .87381 .21343 L .875 .21749 L .87619 .22095 L .87738 .22384 L .87857 .2262 L .87976 .22808 L .88095 .22951 L .88214 .23049 L .88333 .23107 L .88452 .23124 L .88571 .23099 L .8869 .23032 L .8881 .22926 L .88929 .22777 L .89048 .22581 L .89167 .2234 L .89286 .22047 L .89405 .21701 L .89524 .21293 L Mistroke .89643 .20817 L .89762 .20263 L .89881 .19617 L .9 .1886 L .90119 .17964 L .90238 .16888 L .90357 .15566 L .90476 .13882 L .90595 .11611 L .90714 .08254 L .90833 .0324 L .90952 .05203 L .91071 .09661 L .9119 .12498 L .9131 .14488 L .91429 .15995 L .91548 .17192 L .91667 .18172 L .91786 .18989 L .91905 .1968 L .92024 .20267 L .92143 .20767 L .92262 .21195 L .92381 .21556 L .925 .2186 L .92619 .22111 L .92738 .22312 L .92857 .22467 L .92976 .22579 L .93095 .22648 L .93214 .22676 L .93333 .22663 L .93452 .22609 L .93571 .22514 L .9369 .22377 L .9381 .22195 L .93929 .21967 L .94048 .2169 L .94167 .21359 L .94286 .20969 L .94405 .20514 L .94524 .19983 L .94643 .19365 L .94762 .18641 L .94881 .17788 L .95 .1677 L .95119 .15529 L .95238 .13967 L .95357 .11911 L .95476 .09 L Mistroke .95595 .047 L .95714 .04021 L .95833 .08423 L .95952 .11493 L .96071 .13628 L .9619 .15227 L .9631 .16488 L .96429 .17516 L .96548 .1837 L .96667 .19091 L .96786 .19703 L .96905 .20225 L .97024 .20671 L .97143 .21049 L .97262 .21368 L .97381 .21632 L .975 .21847 L .97619 .22015 L Mfstroke P P % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 173}, ImageMargins->{{34, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_88Q000 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00005P000ol0000<00;oG0000ol0000L0003o`0000`000=<0000 2P0014`00?l8009<2`000d`000050004o`3o009<2`000d`00009009<00?o0?l02002C0l0000800?o 1002o`D000?o00003002oe`000?o000070000ol0000<0003C00000X000A<003o2002C0/00T`60004 o`3o009<2`000d`00009009<00?o0?l02002C0l0000;0004o`00o`8000?o00000P000ol0000<00;o G0000ol0000L0003o`0000`000=<00002P0014`00?l8009<2`02C0H000Co0?l00T`;0003C00000T0 0T`00ol0o`08009<3`0000/000Co003o0P000ol0000200?o3002oe`000?o000070000ol0000<0003 C00000X000A<003o2002C0/00T`60004o`3o009<2`000d`00009009<00?o0?l02002C0l0000200Co 0P03o`<000Co003o10000ol0000<00;oG0000ol0000L0003o`0000`00T`;0004C000o`P00T`;009< 1P001?l0o`02C0/000=<00002@02C003o`3o00P00T`?000020000ol000030004o`00o`@000?o0000 3002oe`000?o000070000ol0000<009<2`0014`00?l8009<2`02C0H000Co0?l00T`;0003C00000T0 0T`00ol0o`08009<3`0000P000?o00000`001?l00?l40003o`0000`00_mL0003o`0001`000?o0000 3002C0/000A<003o2002C0/00T`60004o`3o009<2`000d`00009009<00?o0?l02002C0l0000800Co 0`02o`D00_l=00;oG0000ol0000L0003o`0000`00T`;0005C03o0?l01`02C0/00T`60004o`3o009< 2`02C0X00T`00ol0o`08009<3`0001H000?o00003002oe`000?o000070000ol0000<009<2`001D`0 o`3o00L00T`;009<1P001?l0o`02C0X000=<04`02P02C003o`3o00P00T`?00005P000ol0000<00;o G0000ol0000L0003o`0000`00T`;0005C03o0?l01`02C0/00T`60004o`3o009<2P000d`0C00:009< 00?o0?l02002C0l0000F0003o`0000`00_mL0003o`0001`000?o00003002C0/000E<0?l0o`07009< 2`02C0H000Co0?l00T`:0003C01<00X00T`00ol0o`08009<3`0001H00_l=00;oG0000ol0000L0003 o`0000`00T`;0005C03o0?l01`02C0/00T`60004o`3o009<2P000d`0C00:009<0`000ol000040003 C01<00l0000F0003o`0000`00_mL0003o`0001`000?o00003002C0/000E<0?l0o`07009<2`02C0H0 00Co0?l00T`:0003C01<00X00T`30003o`0000@000=<04`03`0001H000?o00003002oe`000?o0000 70000ol0000<009<2`02C003o`3o00L00T`;009<1P001?l0o`02C0X000=<04`02P02C0<000?o0000 10000d`0C00?00005P000ol0000<00;oG0000ol0000L0004o`00C0/00T`;009<00?o0?l01`02C0X0 00=<04`01P001?l0o`02C0X000=<04`02P02C0<000?o000010000d`0C00?00005P02o`d00_mL0003 o`0001`000Co001<2`02C0/00T`00ol0o`07009<2P000d`0C0060004o`3o009<2P000d`0C00:009< 0`000ol000040003C01<00l0000F0003o`0000`00_mL0003o`0001`000Co001<2`02C0/00T`00ol0 o`07009<2P000d`0C0060004o`3o009<2P000d`0C00:009<0`000ol000040003C01<00l0000F0003 o`0000`00_mL0003o`0001`000Co001<2`02C0/00T`00ol0o`07009<2P000d`0C0060004o`3o009< 2P000d`0C00:009<0`000ol000040003C01<00l0000F0003o`0000`00_mL0003o`0001`000Co04a< 2`02C0/00T`00ol0o`07009<2P000d`0C0050005o`000?l00T`:0003C01<00X00T`30003o`0000@0 00=<04`03`0001H00_l=00;oG0000ol0000K0003o`3o009<2`02C0/00T`00ol0o`07009<2P000d`0 C0050008o`000?m<04`90003C01<00X000=00?o0`03odH0000F009<00<0C4`00P06C00304a<009<00@0C01009< 0P09C08000?o00002`001?l00?l30004o`00o`8000Co003o;P03o`<000Co003o0P001?l00?l_00;o 0`001?l00?l20004o`00o`@0000F0003o`0001D000?o04`024`20003C01<00@000A<001<2@001?l0 0?l20004o`00o`8000=<00003P02C0802D`20003o`0000`000?o0?l00`001?l00?l20004o`00obh0 00?o00000`001?l00?l20004o`00obh000Co003o0P001?l00?l20004o`00o`@0000F0003o`0001D0 00Co04`01d`01@1@001d`0C01<04`0`@0001H00_lj0005C01<04`0``0000P01?l300;o 1@000ol0000k0003C01<0<<000080004o`00o`8000Co003o10000ol0000k0003C01<0<<000090003 o`00008000Co003o10000ol0000k0003C0000<<0000:0005o`000?l00P000ol0000200?o>`000d`0 003300002`001?l00?l20003o`000?l01`0000P000Co003o0P001?l00?oo00T0000900;o1002ool0 2P000?l06`000?l06`000001\ \>"], ImageRangeCache->{{{0, 281}, {172, 0}} -> {-72.7572, -62.7333, 3.22453, 0.496896}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Quaternary CPFSK Transmit Signal"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The next set of cells calculates and plots the spectrum of a quaternary \ CPFSK data stream with T=2 and h=.25 using square pulse waveshaping. This \ spectrum is plotted in conjunction with the MSK plot generated above and the \ 20 dB bandwidth is calculated."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "insig=OpenRead[\"QUADCPSK.SIG\"];\ntxsignal=Table[N[Read[insig]],{8000}];\n\ Fourier[txsignal];\ntest2Q=Abs[%] Abs[%];\nListPlot[10 \ Log[10,Take[test2Q,800]],\n\tPlotJoined->True,PlotRange->All,\n\ PlotStyle->{Thickness[.001],RGBColor[0,0,1]}]\nClose[insig];"], "Input", AspectRatioFixed->True], Cell[CellGroupData[{Cell[TextData[ "tt=Max[test2Q];\nttt=Flatten[Position[Take[test2Q,400],x_/;x>(tt/100)]];\n\ Print[\"Twenty dB width in KHz is \",N[5 (Max[ttt]-Min[ttt])]]"], "Input", AspectRatioFixed->True], Cell[TextData["Twenty dB width in KHz is 750."], "Print", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00119048 0.463525 0.00772542 [ [(200)] .2619 .46353 0 2 Msboxa [(400)] .5 .46353 0 2 Msboxa [(600)] .7381 .46353 0 2 Msboxa [(800)] .97619 .46353 0 2 Msboxa [(-60)] .01131 0 1 0 Msboxa [(-50)] .01131 .07725 1 0 Msboxa [(-40)] .01131 .15451 1 0 Msboxa [(-30)] .01131 .23176 1 0 Msboxa [(-20)] .01131 .30902 1 0 Msboxa [(-10)] .01131 .38627 1 0 Msboxa [(10)] .01131 .54078 1 0 Msboxa [(20)] .01131 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .46353 m .2619 .46978 L s P [(200)] .2619 .46353 0 2 Mshowa p .002 w .5 .46353 m .5 .46978 L s P [(400)] .5 .46353 0 2 Mshowa p .002 w .7381 .46353 m .7381 .46978 L s P [(600)] .7381 .46353 0 2 Mshowa p .002 w .97619 .46353 m .97619 .46978 L s P [(800)] .97619 .46353 0 2 Mshowa p .001 w .07143 .46353 m .07143 .46728 L s P p .001 w .11905 .46353 m .11905 .46728 L s P p .001 w .16667 .46353 m .16667 .46728 L s P p .001 w .21429 .46353 m .21429 .46728 L s P p .001 w .30952 .46353 m .30952 .46728 L s P p .001 w .35714 .46353 m .35714 .46728 L s P p .001 w .40476 .46353 m .40476 .46728 L s P p .001 w .45238 .46353 m .45238 .46728 L s P p .001 w .54762 .46353 m .54762 .46728 L s P p .001 w .59524 .46353 m .59524 .46728 L s P p .001 w .64286 .46353 m .64286 .46728 L s P p .001 w .69048 .46353 m .69048 .46728 L s P p .001 w .78571 .46353 m .78571 .46728 L s P p .001 w .83333 .46353 m .83333 .46728 L s P p .001 w .88095 .46353 m .88095 .46728 L s P p .001 w .92857 .46353 m .92857 .46728 L s P p .002 w 0 .46353 m 1 .46353 L s P p .002 w .02381 0 m .03006 0 L s P [(-60)] .01131 0 1 0 Mshowa p .002 w .02381 .07725 m .03006 .07725 L s P [(-50)] .01131 .07725 1 0 Mshowa p .002 w .02381 .15451 m .03006 .15451 L s P [(-40)] .01131 .15451 1 0 Mshowa p .002 w .02381 .23176 m .03006 .23176 L s P [(-30)] .01131 .23176 1 0 Mshowa p .002 w .02381 .30902 m .03006 .30902 L s P [(-20)] .01131 .30902 1 0 Mshowa p .002 w .02381 .38627 m .03006 .38627 L s P [(-10)] .01131 .38627 1 0 Mshowa p .002 w .02381 .54078 m .03006 .54078 L s P [(10)] .01131 .54078 1 0 Mshowa p .002 w .02381 .61803 m .03006 .61803 L s P [(20)] .01131 .61803 1 0 Mshowa p .001 w .02381 .01545 m .02756 .01545 L s P p .001 w .02381 .0309 m .02756 .0309 L s P p .001 w .02381 .04635 m .02756 .04635 L s P p .001 w .02381 .0618 m .02756 .0618 L s P p .001 w .02381 .09271 m .02756 .09271 L s P p .001 w .02381 .10816 m .02756 .10816 L s P p .001 w .02381 .12361 m .02756 .12361 L s P p .001 w .02381 .13906 m .02756 .13906 L s P p .001 w .02381 .16996 m .02756 .16996 L s P p .001 w .02381 .18541 m .02756 .18541 L s P p .001 w .02381 .20086 m .02756 .20086 L s P p .001 w .02381 .21631 m .02756 .21631 L s P p .001 w .02381 .24721 m .02756 .24721 L s P p .001 w .02381 .26266 m .02756 .26266 L s P p .001 w .02381 .27812 m .02756 .27812 L s P p .001 w .02381 .29357 m .02756 .29357 L s P p .001 w .02381 .32447 m .02756 .32447 L s P p .001 w .02381 .33992 m .02756 .33992 L s P p .001 w .02381 .35537 m .02756 .35537 L s P p .001 w .02381 .37082 m .02756 .37082 L s P p .001 w .02381 .40172 m .02756 .40172 L s P p .001 w .02381 .41717 m .02756 .41717 L s P p .001 w .02381 .43262 m .02756 .43262 L s P p .001 w .02381 .44807 m .02756 .44807 L s P p .001 w .02381 .47898 m .02756 .47898 L s P p .001 w .02381 .49443 m .02756 .49443 L s P p .001 w .02381 .50988 m .02756 .50988 L s P p .001 w .02381 .52533 m .02756 .52533 L s P p .001 w .02381 .55623 m .02756 .55623 L s P p .001 w .02381 .57168 m .02756 .57168 L s P p .001 w .02381 .58713 m .02756 .58713 L s P p .001 w .02381 .60258 m .02756 .60258 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .001 w .025 .37596 m .02619 .37658 L .02738 .37714 L .02857 .37764 L .02976 .37807 L .03095 .37844 L .03214 .37875 L .03333 .37899 L .03452 .37917 L .03571 .37927 L .0369 .37931 L .0381 .37928 L .03929 .37918 L .04048 .379 L .04167 .37875 L .04286 .37842 L .04405 .37801 L .04524 .37751 L .04643 .37693 L .04762 .37625 L .04881 .37548 L .05 .3746 L .05119 .37362 L .05238 .37253 L .05357 .37132 L .05476 .36998 L .05595 .36851 L .05714 .36689 L .05833 .36511 L .05952 .36317 L .06071 .36103 L .0619 .3587 L .0631 .35614 L .06429 .35332 L .06548 .35023 L .06667 .34683 L .06786 .34306 L .06905 .33888 L .07024 .33422 L .07143 .32898 L .07262 .32306 L .07381 .31628 L .075 .30844 L .07619 .29919 L .07738 .28804 L .07857 .27414 L .07976 .25589 L .08095 .22972 L .08214 .18424 L s .08223 0 m .08214 .18424 L s .08443 0 m .08452 .18625 L s .08452 .18625 m .08571 .23375 L .0869 .26193 L .0881 .28219 L .08929 .29811 L .09048 .31128 L .09167 .32254 L .09286 .33241 L .09405 .34121 L .09524 .34916 L .09643 .35643 L .09762 .36313 L .09881 .36934 L .1 .37515 L .10119 .3806 L .10238 .38574 L .10357 .39061 L .10476 .39523 L .10595 .39963 L .10714 .40384 L .10833 .40787 L .10952 .41173 L .11071 .41544 L .1119 .41902 L .1131 .42246 L .11429 .42579 L .11548 .42901 L .11667 .43212 L .11786 .43514 L .11905 .43807 L .12024 .44092 L .12143 .44368 L .12262 .44636 L .12381 .44898 L .125 .45153 L .12619 .45401 L .12738 .45643 L .12857 .45879 L .12976 .46109 L .13095 .46334 L .13214 .46553 L .13333 .46768 L .13452 .46978 L .13571 .47183 L .1369 .47384 L .1381 .47581 L .13929 .47773 L .14048 .47962 L .14167 .48146 L .14286 .48327 L Mistroke .14405 .48504 L .14524 .48678 L .14643 .48848 L .14762 .49015 L .14881 .49178 L .15 .49339 L .15119 .49496 L .15238 .49651 L .15357 .49802 L .15476 .49951 L .15595 .50096 L .15714 .50239 L .15833 .5038 L .15952 .50518 L .16071 .50653 L .1619 .50786 L .1631 .50916 L .16429 .51044 L .16548 .5117 L .16667 .51293 L .16786 .51414 L .16905 .51533 L .17024 .51649 L .17143 .51764 L .17262 .51876 L .17381 .51986 L .175 .52094 L .17619 .52201 L .17738 .52305 L .17857 .52407 L .17976 .52507 L .18095 .52606 L .18214 .52702 L .18333 .52797 L .18452 .5289 L .18571 .52981 L .1869 .5307 L .1881 .53158 L .18929 .53244 L .19048 .53328 L .19167 .5341 L .19286 .53491 L .19405 .5357 L .19524 .53647 L .19643 .53723 L .19762 .53797 L .19881 .5387 L .2 .53941 L .20119 .5401 L .20238 .56489 L Mistroke .20357 .54144 L .20476 .54209 L .20595 .54272 L .20714 .54334 L .20833 .54395 L .20952 .54453 L .21071 .54511 L .2119 .54567 L .2131 .54621 L .21429 .54674 L .21548 .54726 L .21667 .54776 L .21786 .54825 L .21905 .54872 L .22024 .54918 L .22143 .54963 L .22262 .55006 L .22381 .55048 L .225 .55089 L .22619 .55128 L .22738 .55166 L .22857 .55202 L .22976 .55237 L .23095 .55271 L .23214 .55304 L .23333 .55335 L .23452 .55365 L .23571 .55393 L .2369 .55421 L .2381 .55447 L .23929 .55471 L .24048 .55495 L .24167 .55517 L .24286 .55538 L .24405 .55557 L .24524 .55576 L .24643 .55593 L .24762 .55608 L .24881 .55623 L .25 .55636 L .25119 .55648 L .25238 .55659 L .25357 .55668 L .25476 .55676 L .25595 .55683 L .25714 .55689 L .25833 .55693 L .25952 .55696 L .26071 .55698 L .2619 .55699 L Mistroke .2631 .55699 L .26429 .55698 L .26548 .55696 L .26667 .55693 L .26786 .55689 L .26905 .55683 L .27024 .55676 L .27143 .55668 L .27262 .55659 L .27381 .55648 L .275 .55636 L .27619 .55623 L .27738 .55608 L .27857 .55593 L .27976 .55576 L .28095 .55557 L .28214 .55538 L .28333 .55517 L .28452 .55495 L .28571 .55471 L .2869 .55447 L .2881 .55421 L .28929 .55393 L .29048 .55365 L .29167 .55335 L .29286 .55304 L .29405 .55271 L .29524 .55237 L .29643 .55202 L .29762 .55166 L .29881 .55128 L .3 .55089 L .30119 .55048 L .30238 .55006 L .30357 .54963 L .30476 .54918 L .30595 .54872 L .30714 .54825 L .30833 .54776 L .30952 .54726 L .31071 .54674 L .3119 .54621 L .3131 .54567 L .31429 .54511 L .31548 .54453 L .31667 .54395 L .31786 .54334 L .31905 .54272 L .32024 .54209 L .32143 .54144 L Mistroke .32262 .56489 L .32381 .5401 L .325 .53941 L .32619 .5387 L .32738 .53797 L .32857 .53723 L .32976 .53647 L .33095 .5357 L .33214 .53491 L .33333 .5341 L .33452 .53328 L .33571 .53244 L .3369 .53158 L .3381 .5307 L .33929 .52981 L .34048 .5289 L .34167 .52797 L .34286 .52702 L .34405 .52606 L .34524 .52507 L .34643 .52407 L .34762 .52305 L .34881 .52201 L .35 .52094 L .35119 .51986 L .35238 .51876 L .35357 .51764 L .35476 .51649 L .35595 .51533 L .35714 .51414 L .35833 .51293 L .35952 .5117 L .36071 .51044 L .3619 .50916 L .3631 .50786 L .36429 .50653 L .36548 .50518 L .36667 .5038 L .36786 .50239 L .36905 .50096 L .37024 .49951 L .37143 .49802 L .37262 .49651 L .37381 .49496 L .375 .49339 L .37619 .49178 L .37738 .49015 L .37857 .48848 L .37976 .48678 L .38095 .48504 L Mistroke .38214 .48327 L .38333 .48146 L .38452 .47962 L .38571 .47773 L .3869 .47581 L .3881 .47384 L .38929 .47183 L .39048 .46978 L .39167 .46768 L .39286 .46553 L .39405 .46334 L .39524 .46109 L .39643 .45879 L .39762 .45643 L .39881 .45401 L .4 .45153 L .40119 .44898 L .40238 .44636 L .40357 .44368 L .40476 .44092 L .40595 .43807 L .40714 .43514 L .40833 .43212 L .40952 .42901 L .41071 .42579 L .4119 .42246 L .4131 .41902 L .41429 .41544 L .41548 .41173 L .41667 .40787 L .41786 .40384 L .41905 .39963 L .42024 .39523 L .42143 .39061 L .42262 .38574 L .42381 .3806 L .425 .37515 L .42619 .36934 L .42738 .36313 L .42857 .35643 L .42976 .34916 L .43095 .34121 L .43214 .33241 L .43333 .32254 L .43452 .31128 L .43571 .29811 L .4369 .28219 L .4381 .26193 L .43929 .23375 L .44048 .18625 L Mistroke Mfstroke .44057 0 m .44048 .18625 L s .44277 0 m .44286 .18424 L s .44286 .18424 m .44405 .22972 L .44524 .25589 L .44643 .27414 L .44762 .28804 L .44881 .29919 L .45 .30844 L .45119 .31628 L .45238 .32306 L .45357 .32898 L .45476 .33422 L .45595 .33888 L .45714 .34306 L .45833 .34683 L .45952 .35023 L .46071 .35332 L .4619 .35614 L .4631 .3587 L .46429 .36103 L .46548 .36317 L .46667 .36511 L .46786 .36689 L .46905 .36851 L .47024 .36998 L .47143 .37132 L .47262 .37253 L .47381 .37362 L .475 .3746 L .47619 .37548 L .47738 .37625 L .47857 .37693 L .47976 .37751 L .48095 .37801 L .48214 .37842 L .48333 .37875 L .48452 .379 L .48571 .37918 L .4869 .37928 L .4881 .37931 L .48929 .37927 L .49048 .37917 L .49167 .37899 L .49286 .37875 L .49405 .37844 L .49524 .37807 L .49643 .37764 L .49762 .37714 L .49881 .37658 L .5 .37596 L .50119 .37527 L Mistroke .50238 .37453 L .50357 .37372 L .50476 .37285 L .50595 .37191 L .50714 .37091 L .50833 .36985 L .50952 .36872 L .51071 .36753 L .5119 .36627 L .5131 .36494 L .51429 .36355 L .51548 .36208 L .51667 .36054 L .51786 .35892 L .51905 .35722 L .52024 .35545 L .52143 .35359 L .52262 .35165 L .52381 .34962 L .525 .34749 L .52619 .34526 L .52738 .34294 L .52857 .3405 L .52976 .33795 L .53095 .33528 L .53214 .33248 L .53333 .32954 L .53452 .32645 L .53571 .3232 L .5369 .31978 L .5381 .31617 L .53929 .31235 L .54048 .3083 L .54167 .304 L .54286 .29942 L .54405 .29452 L .54524 .28925 L .54643 .28357 L .54762 .2774 L .54881 .27065 L .55 .26321 L .55119 .25491 L .55238 .24554 L .55357 .23476 L .55476 .22208 L .55595 .20663 L .55714 .18684 L .55833 .15912 L .55952 .11208 L Mfstroke .55958 0 m .55952 .11208 L s .56185 0 m .5619 .11096 L s .5619 .11096 m .5631 .15689 L .56429 .18348 L .56548 .20216 L .56667 .21649 L .56786 .22805 L .56905 .23771 L .57024 .24596 L .57143 .25314 L .57262 .25946 L .57381 .26509 L .575 .27014 L .57619 .2747 L .57738 .27884 L .57857 .28262 L .57976 .28608 L .58095 .28925 L .58214 .29217 L .58333 .29487 L .58452 .29735 L .58571 .29965 L .5869 .30177 L .5881 .30372 L .58929 .30553 L .59048 .3072 L .59167 .30874 L .59286 .31016 L .59405 .31146 L .59524 .31265 L .59643 .31374 L .59762 .31473 L .59881 .31562 L .6 .31642 L .60119 .31714 L .60238 .31777 L .60357 .31831 L .60476 .31878 L .60595 .31917 L .60714 .31949 L .60833 .31973 L .60952 .31991 L .61071 .32001 L .6119 .32004 L .6131 .32001 L .61429 .31991 L .61548 .31974 L .61667 .31951 L .61786 .31921 L .61905 .31885 L .62024 .31842 L Mistroke .62143 .31793 L .62262 .31737 L .62381 .31675 L .625 .31606 L .62619 .31531 L .62738 .31449 L .62857 .3136 L .62976 .31265 L .63095 .31162 L .63214 .31053 L .63333 .30936 L .63452 .30812 L .63571 .30681 L .6369 .30542 L .6381 .30395 L .63929 .3024 L .64048 .30076 L .64167 .29903 L .64286 .29722 L .64405 .2953 L .64524 .29329 L .64643 .29117 L .64762 .28895 L .64881 .2866 L .65 .28414 L .65119 .28154 L .65238 .2788 L .65357 .27591 L .65476 .27286 L .65595 .26964 L .65714 .26622 L .65833 .2626 L .65952 .25874 L .66071 .25463 L .6619 .25024 L .6631 .24553 L .66429 .24045 L .66548 .23495 L .66667 .22896 L .66786 .22239 L .66905 .21513 L .67024 .20702 L .67143 .19782 L .67262 .18722 L .67381 .17471 L .675 .15944 L .67619 .13982 L .67738 .11227 L .67857 .0654 L Mfstroke .6786 0 m .67857 .0654 L s .68092 0 m .68095 .06462 L s .68095 .06462 m .68214 .11071 L .68333 .13747 L .68452 .15631 L .68571 .1708 L .6869 .18253 L .6881 .19234 L .68929 .20075 L .69048 .20809 L .69167 .21456 L .69286 .22035 L .69405 .22555 L .69524 .23027 L .69643 .23456 L .69762 .23849 L .69881 .2421 L .7 .24542 L .70119 .24849 L .70238 .25133 L .70357 .25396 L .70476 .2564 L .70595 .25866 L .70714 .26077 L .70833 .26272 L .70952 .26453 L .71071 .26621 L .7119 .26776 L .7131 .2692 L .71429 .27053 L .71548 .27175 L .71667 .27288 L .71786 .2739 L .71905 .27484 L .72024 .27568 L .72143 .27645 L .72262 .27712 L .72381 .27772 L .725 .27824 L .72619 .27869 L .72738 .27906 L .72857 .27936 L .72976 .27959 L .73095 .27975 L .73214 .27984 L .73333 .27986 L .73452 .27982 L .73571 .2797 L .7369 .27953 L .7381 .27928 L .73929 .27898 L Mistroke .74048 .2786 L .74167 .27816 L .74286 .27766 L .74405 .27709 L .74524 .27645 L .74643 .27575 L .74762 .27498 L .74881 .27413 L .75 .27322 L .75119 .27224 L .75238 .27119 L .75357 .27006 L .75476 .26886 L .75595 .26758 L .75714 .26622 L .75833 .26477 L .75952 .26324 L .76071 .26162 L .7619 .25991 L .7631 .25811 L .76429 .2562 L .76548 .25419 L .76667 .25207 L .76786 .24983 L .76905 .24746 L .77024 .24497 L .77143 .24233 L .77262 .23954 L .77381 .23659 L .775 .23347 L .77619 .23015 L .77738 .22663 L .77857 .22287 L .77976 .21886 L .78095 .21457 L .78214 .20995 L .78333 .20497 L .78452 .19956 L .78571 .19367 L .7869 .1872 L .7881 .18003 L .78929 .17201 L .79048 .16291 L .79167 .1524 L .79286 .13998 L .79405 .1248 L .79524 .10527 L .79643 .07782 L .79762 .03103 L Mfstroke .79763 0 m .79762 .03103 L s .79998 0 m .8 .03043 L s .8 .03043 m .80119 .07661 L .80238 .10346 L .80357 .12239 L .80476 .13696 L .80595 .14878 L .80714 .15868 L .80833 .16718 L .80952 .17459 L .81071 .18116 L .8119 .18702 L .8131 .19231 L .81429 .19711 L .81548 .20149 L .81667 .2055 L .81786 .20919 L .81905 .2126 L .82024 .21575 L .82143 .21867 L .82262 .22138 L .82381 .2239 L .825 .22625 L .82619 .22843 L .82738 .23046 L .82857 .23235 L .82976 .23411 L .83095 .23574 L .83214 .23726 L .83333 .23866 L .83452 .23996 L .83571 .24116 L .8369 .24226 L .8381 .24327 L .83929 .2442 L .84048 .24503 L .84167 .24579 L .84286 .24646 L .84405 .24705 L .84524 .24757 L .84643 .24802 L .84762 .24839 L .84881 .24869 L .85 .24892 L .85119 .24908 L .85238 .24918 L .85357 .2492 L .85476 .24916 L .85595 .24906 L .85714 .24888 L .85833 .24865 L Mistroke .85952 .24834 L .86071 .24797 L .8619 .24754 L .8631 .24704 L .86429 .24647 L .86548 .24583 L .86667 .24513 L .86786 .24435 L .86905 .24351 L .87024 .2426 L .87143 .24161 L .87262 .24055 L .87381 .23941 L .875 .23819 L .87619 .2369 L .87738 .23552 L .87857 .23405 L .87976 .2325 L .88095 .23085 L .88214 .22911 L .88333 .22727 L .88452 .22532 L .88571 .22326 L .8869 .22108 L .8881 .21878 L .88929 .21635 L .89048 .21377 L .89167 .21105 L .89286 .20816 L .89405 .20509 L .89524 .20184 L .89643 .19837 L .89762 .19468 L .89881 .19073 L .9 .18649 L .90119 .18193 L .90238 .17701 L .90357 .17167 L .90476 .16583 L .90595 .15942 L .90714 .15231 L .90833 .14435 L .90952 .1353 L .91071 .12485 L .9119 .11249 L .9131 .09737 L .91429 .0779 L .91548 .0505 L .91667 .00377 L Mfstroke .91667 0 m .91667 .00377 L s .91905 0 m .91905 .00328 L s .91905 .00328 m .92024 .04951 L .92143 .07642 L .92262 .0954 L .92381 .11003 L .925 .1219 L .92619 .13186 L .92738 .14041 L .92857 .14788 L .92976 .1545 L .93095 .16042 L .93214 .16576 L .93333 .17061 L .93452 .17504 L .93571 .17911 L .9369 .18285 L .9381 .18631 L .93929 .18951 L .94048 .19249 L .94167 .19525 L .94286 .19782 L .94405 .20021 L .94524 .20245 L .94643 .20453 L .94762 .20647 L .94881 .20828 L .95 .20996 L .95119 .21153 L .95238 .21298 L .95357 .21433 L .95476 .21558 L .95595 .21673 L .95714 .21779 L .95833 .21876 L .95952 .21965 L .96071 .22045 L .9619 .22117 L .9631 .22182 L .96429 .22238 L .96548 .22288 L .96667 .2233 L .96786 .22364 L .96905 .22392 L .97024 .22413 L .97143 .22427 L .97262 .22434 L .97381 .22435 L .975 .22429 L .97619 .22416 L s P p 0 0 1 r .001 w .025 .35847 m .02619 .20605 L .02738 .35613 L .02857 .33869 L .02976 .30781 L .03095 .3661 L .03214 .28577 L .03333 .33273 L .03452 .34599 L .03571 .36062 L .0369 .31729 L .0381 .23982 L .03929 .33253 L .04048 .35942 L .04167 .35886 L .04286 .33323 L .04405 .32612 L .04524 .34851 L .04643 .35911 L .04762 .28489 L .04881 .27607 L .05 .30939 L .05119 .31314 L .05238 .31104 L .05357 .31118 L .05476 .29848 L .05595 .29991 L .05714 .26542 L .05833 .24637 L .05952 .28769 L .06071 .32096 L .0619 .27745 L .0631 .33709 L .06429 .33983 L .06548 .33812 L .06667 .30312 L .06786 .32913 L .06905 .30468 L .07024 .35618 L .07143 .33426 L .07262 .30839 L .07381 .36547 L .075 .25696 L .07619 .33458 L .07738 .26109 L .07857 .29363 L .07976 .32913 L .08095 .27063 L .08214 .31597 L .08333 .33536 L Mistroke .08452 .37413 L .08571 .3499 L .0869 .3235 L .0881 .30666 L .08929 .26287 L .09048 .23207 L .09167 .23774 L .09286 .27497 L .09405 .28613 L .09524 .33892 L .09643 .31845 L .09762 .33255 L .09881 .29002 L .1 .26969 L .10119 .34853 L .10238 .33531 L .10357 .30578 L .10476 .32033 L .10595 .33525 L .10714 .3257 L .10833 .32037 L .10952 .23689 L .11071 .28949 L .1119 .31212 L .1131 .3082 L .11429 .21869 L .11548 .34168 L .11667 .34502 L .11786 .36918 L .11905 .33689 L .12024 .30978 L .12143 .35315 L .12262 .40887 L .12381 .34145 L .125 .27002 L .12619 .40523 L .12738 .42042 L .12857 .41047 L .12976 .38483 L .13095 .24109 L .13214 .33635 L .13333 .40057 L .13452 .37097 L .13571 .41629 L .1369 .29951 L .1381 .40765 L .13929 .37787 L .14048 .35158 L .14167 .41837 L .14286 .37596 L Mistroke .14405 .44041 L .14524 .42072 L .14643 .43104 L .14762 .4134 L .14881 .37321 L .15 .42023 L .15119 .41596 L .15238 .40915 L .15357 .43193 L .15476 .43713 L .15595 .35756 L .15714 .32918 L .15833 .37072 L .15952 .39037 L .16071 .38228 L .1619 .32735 L .1631 .42268 L .16429 .43589 L .16548 .41986 L .16667 .28788 L .16786 .29716 L .16905 .44822 L .17024 .39191 L .17143 .23214 L .17262 .41107 L .17381 .38032 L .175 .40468 L .17619 .40281 L .17738 .43107 L .17857 .43701 L .17976 .40633 L .18095 .38816 L .18214 .48469 L .18333 .46324 L .18452 .48266 L .18571 .4603 L .1869 .46081 L .1881 .45043 L .18929 .51233 L .19048 .46155 L .19167 .46386 L .19286 .52589 L .19405 .42677 L .19524 .49989 L .19643 .44062 L .19762 .51187 L .19881 .51618 L .2 .43507 L .20119 .45504 L .20238 .47195 L Mistroke .20357 .53714 L .20476 .53344 L .20595 .53157 L .20714 .54167 L .20833 .45478 L .20952 .43603 L .21071 .49343 L .2119 .4977 L .2131 .52768 L .21429 .50468 L .21548 .37736 L .21667 .56441 L .21786 .55729 L .21905 .48479 L .22024 .55362 L .22143 .5626 L .22262 .4942 L .22381 .37365 L .225 .54056 L .22619 .5962 L .22738 .56562 L .22857 .56956 L .22976 .3919 L .23095 .48621 L .23214 .46363 L .23333 .53788 L .23452 .58443 L .23571 .54106 L .2369 .57562 L .2381 .3872 L .23929 .50621 L .24048 .58847 L .24167 .57337 L .24286 .54046 L .24405 .56474 L .24524 .55993 L .24643 .56115 L .24762 .57133 L .24881 .57446 L .25 .58868 L .25119 .53021 L .25238 .57499 L .25357 .54004 L .25476 .5849 L .25595 .46454 L .25714 .46714 L .25833 .58977 L .25952 .57954 L .26071 .5189 L .2619 .554 L Mistroke .2631 .58625 L .26429 .56588 L .26548 .57222 L .26667 .55709 L .26786 .55441 L .26905 .5205 L .27024 .59811 L .27143 .59837 L .27262 .52323 L .27381 .47395 L .275 .59207 L .27619 .60653 L .27738 .46736 L .27857 .44185 L .27976 .57912 L .28095 .54197 L .28214 .61422 L .28333 .61253 L .28452 .60324 L .28571 .59727 L .2869 .54644 L .2881 .53642 L .28929 .57515 L .29048 .56297 L .29167 .53136 L .29286 .54546 L .29405 .57203 L .29524 .56365 L .29643 .57265 L .29762 .54158 L .29881 .58569 L .3 .5502 L .30119 .53283 L .30238 .52669 L .30357 .58061 L .30476 .55946 L .30595 .58366 L .30714 .54532 L .30833 .5095 L .30952 .55993 L .31071 .35083 L .3119 .56538 L .3131 .56104 L .31429 .46941 L .31548 .57144 L .31667 .50047 L .31786 .56258 L .31905 .487 L .32024 .45087 L .32143 .49327 L Mistroke .32262 .54107 L .32381 .53437 L .325 .51837 L .32619 .52095 L .32738 .49051 L .32857 .41067 L .32976 .38678 L .33095 .41455 L .33214 .49139 L .33333 .44253 L .33452 .49604 L .33571 .47503 L .3369 .35552 L .3381 .45323 L .33929 .4996 L .34048 .50474 L .34167 .43645 L .34286 .42271 L .34405 .4818 L .34524 .42885 L .34643 .44562 L .34762 .46145 L .34881 .31075 L .35 .43729 L .35119 .40026 L .35238 .42299 L .35357 .43246 L .35476 .43859 L .35595 .45605 L .35714 .42737 L .35833 .41344 L .35952 .40295 L .36071 .48756 L .3619 .36491 L .3631 .42285 L .36429 .43589 L .36548 .45026 L .36667 .44707 L .36786 .30605 L .36905 .4003 L .37024 .37557 L .37143 .4297 L .37262 .38885 L .37381 .44566 L .375 .39505 L .37619 .36194 L .37738 .42155 L .37857 .38355 L .37976 .40057 L .38095 .27728 L Mistroke .38214 .43207 L .38333 .45099 L .38452 .43631 L .38571 .33329 L .3869 .39298 L .3881 .29294 L .38929 .41861 L .39048 .41661 L .39167 .41789 L .39286 .29338 L .39405 .38743 L .39524 .398 L .39643 .3862 L .39762 .31619 L .39881 .37901 L .4 .35705 L .40119 .35163 L .40238 .34302 L .40357 .39092 L .40476 .37595 L .40595 .37059 L .40714 .38402 L .40833 .37451 L .40952 .34233 L .41071 .34796 L .4119 .27952 L .4131 .343 L .41429 .35932 L .41548 .33347 L .41667 .36698 L .41786 .30935 L .41905 .32691 L .42024 .37754 L .42143 .2479 L .42262 .31339 L .42381 .34322 L .425 .32488 L .42619 .30613 L .42738 .30867 L .42857 .32979 L .42976 .27514 L .43095 .31952 L .43214 .33598 L .43333 .29228 L .43452 .35398 L .43571 .33766 L .4369 .36068 L .4381 .15088 L .43929 .22216 L .44048 .32764 L Mistroke .44167 .35155 L .44286 .35723 L .44405 .33631 L .44524 .29772 L .44643 .26969 L .44762 .26707 L .44881 .25213 L .45 .22478 L .45119 .31522 L .45238 .31117 L .45357 .32504 L .45476 .31081 L .45595 .17916 L .45714 .26405 L .45833 .33567 L .45952 .34097 L .46071 .28971 L .4619 .26769 L .4631 .32661 L .46429 .29559 L .46548 .28448 L .46667 .30644 L .46786 .20595 L .46905 .29974 L .47024 .18235 L .47143 .27589 L .47262 .28136 L .47381 .29553 L .475 .34062 L .47619 .30097 L .47738 .29528 L .47857 .25757 L .47976 .35547 L .48095 .22589 L .48214 .31206 L .48333 .31068 L .48452 .33415 L .48571 .33546 L .4869 .17472 L .4881 .2954 L .48929 .29383 L .49048 .33676 L .49167 .28038 L .49286 .3547 L .49405 .31125 L .49524 .25674 L .49643 .32471 L .49762 .30954 L .49881 .2883 L .5 .23318 L Mistroke .50119 .311 L .50238 .35699 L .50357 .3465 L .50476 .19285 L .50595 .31235 L .50714 .12504 L .50833 .33346 L .50952 .33476 L .51071 .33416 L .5119 .14515 L .5131 .30096 L .51429 .32021 L .51548 .31265 L .51667 .24986 L .51786 .29865 L .51905 .29835 L .52024 .24106 L .52143 .18362 L .52262 .31226 L .52381 .30557 L .525 .30281 L .52619 .31554 L .52738 .30533 L .52857 .28137 L .52976 .28419 L .53095 .2551 L .53214 .28434 L .53333 .30098 L .53452 .28626 L .53571 .30415 L .5369 .25582 L .5381 .27481 L .53929 .31581 L .54048 .2041 L .54167 .26661 L .54286 .29456 L .54405 .275 L .54524 .25935 L .54643 .24031 L .54762 .27499 L .54881 .23416 L .55 .24016 L .55119 .27815 L .55238 .2411 L .55357 .29335 L .55476 .28254 L .55595 .29738 L .55714 .18432 L .55833 .18391 L .55952 .26515 L Mistroke .56071 .27918 L .5619 .29439 L .5631 .27951 L .56429 .18328 L .56548 .21358 L .56667 .22355 L .56786 .21019 L .56905 .20058 L .57024 .25374 L .57143 .26306 L .57262 .26567 L .57381 .25415 L .575 .194 L .57619 .20417 L .57738 .26542 L .57857 .26942 L .57976 .2371 L .58095 .21789 L .58214 .25237 L .58333 .24439 L .58452 .23084 L .58571 .23721 L .5869 .18773 L .5881 .23182 L .58929 .15092 L .59048 .21327 L .59167 .22624 L .59286 .24351 L .59405 .28747 L .59524 .24732 L .59643 .23956 L .59762 .19968 L .59881 .28705 L .6 .18536 L .60119 .26086 L .60238 .23813 L .60357 .2784 L .60476 .28443 L .60595 .16776 L .60714 .25025 L .60833 .25753 L .60952 .29041 L .61071 .23438 L .6119 .30751 L .6131 .27126 L .61429 .22158 L .61548 .27479 L .61667 .26955 L .61786 .23216 L .61905 .22784 L Mistroke .62024 .2295 L .62143 .30731 L .62262 .29912 L .62381 .18197 L .625 .27424 L .62619 .16866 L .62738 .28849 L .62857 .29236 L .62976 .29015 L .63095 .16957 L .63214 .25864 L .63333 .28031 L .63452 .27407 L .63571 .21934 L .6369 .25673 L .6381 .26634 L .63929 .209 L .64048 .14797 L .64167 .27433 L .64286 .26888 L .64405 .26792 L .64524 .27671 L .64643 .26931 L .64762 .24877 L .64881 .25 L .65 .23515 L .65119 .25262 L .65238 .26824 L .65357 .25608 L .65476 .26896 L .65595 .22863 L .65714 .24468 L .65833 .27976 L .65952 .19445 L .66071 .23929 L .6619 .26477 L .6631 .24471 L .66429 .23251 L .66548 .20865 L .66667 .24426 L .66786 .21033 L .66905 .188 L .67024 .24431 L .67143 .21558 L .67262 .2579 L .67381 .24896 L .675 .25928 L .67619 .18938 L .67738 .17292 L .67857 .22714 L Mistroke .67976 .23802 L .68095 .25595 L .68214 .24661 L Mfstroke .68313 0 m .68214 .24661 L s .68359 0 m .68452 .18622 L s .68452 .18622 m .68571 .19719 L .6869 .18786 L .6881 .18933 L .68929 .21864 L .69048 .23488 L .69167 .23263 L .69286 .22346 L .69405 .18884 L .69524 .18176 L .69643 .22004 L .69762 .22324 L .69881 .20982 L .7 .19579 L .70119 .19731 L .70238 .21535 L .70357 .20365 L .70476 .19463 L .70595 .17643 L .70714 .18675 L .70833 .1568 L .70952 .18265 L .71071 .20041 L .7119 .21585 L .7131 .25385 L .71429 .21581 L .71548 .20525 L .71667 .1759 L .71786 .23711 L .71905 .17654 L .72024 .23009 L .72143 .18093 L .72262 .24333 L .72381 .25286 L .725 .16319 L .72619 .22309 L .72738 .23418 L .72857 .26028 L .72976 .20714 L .73095 .27616 L .73214 .24558 L .73333 .20348 L .73452 .24225 L .73571 .24289 L .7369 .20006 L .7381 .21665 L .73929 .15815 L .74048 .27422 L .74167 .26749 L .74286 .17988 L Mistroke .74405 .24956 L .74524 .1712 L .74643 .2589 L .74762 .26435 L .74881 .26091 L .75 .17199 L .75119 .23224 L .75238 .254 L .75357 .24823 L .75476 .19993 L .75595 .22925 L .75714 .2442 L .75833 .19794 L .75952 .16628 L .76071 .24995 L .7619 .24447 L .7631 .24449 L .76429 .25009 L .76548 .24534 L .76667 .22667 L .76786 .22733 L .76905 .21925 L .77024 .23093 L .77143 .24547 L .77262 .23446 L .77381 .24484 L .775 .20997 L .77619 .22359 L .77738 .25458 L .77857 .18567 L .77976 .2204 L .78095 .24345 L .78214 .22305 L .78333 .21383 L .78452 .19192 L .78571 .22346 L .7869 .19383 L .7881 .1558 L .78929 .22087 L .79048 .19926 L .79167 .23341 L .79286 .2253 L .79405 .23264 L .79524 .18415 L .79643 .1646 L .79762 .20063 L .79881 .21322 L .8 .22878 L .80119 .224 L .80238 .10006 L Mistroke .80357 .16879 L .80476 .17923 L .80595 .17322 L .80714 .18 L .80833 .19542 L .80952 .21518 L .81071 .21082 L .8119 .20378 L .8131 .18149 L .81429 .17009 L .81548 .18772 L .81667 .19147 L .81786 .19296 L .81905 .18239 L .82024 .14922 L .82143 .19616 L .82262 .18648 L .82381 .16834 L .825 .16769 L .82619 .15796 L .82738 .15529 L .82857 .16766 L .82976 .18517 L .83095 .19788 L .83214 .23014 L .83333 .19488 L .83452 .18309 L .83571 .16477 L .8369 .19552 L .8381 .17083 L .83929 .20964 L .84048 .13331 L .84167 .21881 L .84286 .23067 L .84405 .15783 L .84524 .20453 L .84643 .21711 L .84762 .23845 L .84881 .18876 L .85 .25316 L .85119 .22701 L .85238 .19067 L .85357 .21918 L .85476 .22337 L .85595 .18041 L .85714 .2059 L .85833 .11644 L .85952 .25005 L .86071 .24419 L .8619 .17455 L Mistroke .8631 .23137 L .86429 .16726 L .86548 .23745 L .86667 .2438 L .86786 .23936 L .86905 .16837 L .87024 .21368 L .87143 .23462 L .87262 .22901 L .87381 .18592 L .875 .2093 L .87619 .22725 L .87738 .18958 L .87857 .1679 L .87976 .23187 L .88095 .22633 L .88214 .22687 L .88333 .23014 L .88452 .22753 L .88571 .21011 L .8869 .21059 L .8881 .2062 L .88929 .21449 L .89048 .22806 L .89167 .21782 L .89286 .22663 L .89405 .19567 L .89524 .20751 L .89643 .23535 L .89762 .17734 L .89881 .20602 L .9 .22692 L .90119 .20624 L .90238 .19949 L .90357 .18077 L .90476 .2079 L .90595 .18127 L .90714 .13906 L .90833 .20318 L .90952 .18709 L .91071 .21498 L .9119 .2073 L .9131 .21251 L .91429 .17718 L .91548 .15734 L .91667 .18078 L .91786 .1971 L .91905 .20806 L .92024 .20701 L .92143 .12215 L Mistroke .92262 .15617 L .92381 .16597 L .925 .16244 L .92619 .17183 L .92738 .1787 L .92857 .20007 L .92976 .19488 L .93095 .18969 L .93214 .17419 L .93333 .1618 L .93452 .16415 L .93571 .17002 L .9369 .18104 L .9381 .17245 L .93929 .10429 L .94048 .1822 L .94167 .17407 L .94286 .15267 L .94405 .16045 L .94524 .1419 L .94643 .1517 L .94762 .15891 L .94881 .17439 L .95 .18473 L .95119 .2124 L .95238 .17986 L .95357 .16834 L .95476 .15769 L .95595 .15821 L .95714 .16529 L .95833 .19497 L .95952 .10418 L .96071 .20052 L .9619 .21382 L .9631 .15256 L .96429 .19085 L .96548 .20374 L .96667 .22159 L .96786 .17538 L .96905 .23531 L .97024 .21262 L .97143 .18041 L .97262 .20201 L .97381 .20819 L .975 .16722 L .97619 .19632 L Mfstroke P P % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{300, 185}, ImageMargins->{{100, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_88Q000 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00;oH`000ol0000N00;o7`000om00;oH`000ol0 000?0003C00000`00_lO0003oda<01d000Go001C0<02D`01@1<003o008000=<00004T`00`1<000:00;o00@0C4a<300001H0 00?oC0003@02o`L000=<0000F0000d`0o`020003C000009<10000d`000020005C01<04`01@0014`0 000;C00404`0C0@01T`40005C010000d`0 00060003C01<008000=<04`00T`01010000d`000060007C010000d`000060007C01P0014`0C4`50005C010003o`0000<01d`00`1<0006C0/000=<04`05`000d`000050004C000C0<0 0d`00`1C00304a<00H0 00?o00003P000ol0o`030004o`00o`8000Co003o<`000ol000030004o`00o`8000Co003o<`001?l0 0?l20004o`00o`8000Co003o0`0001H00_lH0003o`0000D000U<04a<04`0C0000T`30003C00000<0 00U<04`0C?m<0?l00P001?l00?l20004o`00o`D000=<00000P0"], ImageRangeCache->{{{0, 299}, {184, 0}} -> {-67.3368, -62.5437, 3.00086, 0.46243}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Conclusion"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "The cells in this notebook provide the ability to generate an CPFSK waveform \ and to exhibit a sample of the tranmsit power spectrum of that waveform. The \ waveforms generated above can be used in conjunction with channel, \ interference, noise and filter simulations to determine the expected BER \ performance of a specific modulation/demodulation combination."], "Text", Evaluatable->False, AspectRatioFixed->True]}, Open]] }, FrontEndVersion->"Macintosh 3.0", ScreenRectangle->{{0, 640}, {0, 460}}, WindowToolbars->{}, CellGrouping->Manual, WindowSize->{520, 365}, WindowMargins->{{4, Automatic}, {Automatic, 31}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, MacintoshSystemPageSetup->"\<\ AVU/IFiQKFD000000W7D@09ag@0000000O=J`09FV" ] (*********************************************************************** Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. ***********************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1731, 51, 120, 3, 70, "Title", Evaluatable->False], Cell[1854, 56, 246, 5, 70, "Subtitle", Evaluatable->False], Cell[CellGroupData[{ Cell[2123, 63, 100, 2, 70, "Section", Evaluatable->False], Cell[2226, 67, 839, 12, 70, "SmallText", Evaluatable->False] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[3106, 81, 85, 2, 70, "Section", Evaluatable->False], Cell[3194, 85, 635, 10, 70, "Text", Evaluatable->False] }, Open ]], Cell[CellGroupData[{ Cell[3861, 97, 108, 2, 70, "Section", Evaluatable->False], Cell[3972, 101, 1413, 20, 70, "Text", Evaluatable->False], Cell[5388, 123, 206, 4, 70, "Input"], Cell[5597, 129, 195, 4, 70, "Input"], Cell[5795, 135, 369, 7, 70, "Input"], Cell[6167, 144, 172, 3, 70, "Input"], Cell[6342, 149, 265, 5, 70, "Input"], Cell[6610, 156, 273, 5, 70, "Input"], Cell[6886, 163, 205, 4, 70, "Input"], Cell[7094, 169, 342, 6, 70, "Input"], Cell[CellGroupData[{ Cell[7459, 177, 114, 2, 70, "Input"], Cell[7576, 181, 32146, 945, 193, 8422, 647, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Open ]], Cell[39734, 1128, 328, 6, 70, "Text", Evaluatable->False], Cell[40065, 1136, 554, 8, 70, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[40651, 1146, 112, 2, 70, "Section", Evaluatable->False], Cell[40766, 1150, 288, 5, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[41077, 1157, 99, 2, 70, "Subsection", Evaluatable->False], Cell[41179, 1161, 187, 4, 70, "Text", Evaluatable->False], Cell[41369, 1167, 116, 2, 70, "Input"], Cell[41488, 1171, 72, 1, 70, "Input"], Cell[CellGroupData[{ Cell[41583, 1174, 194, 4, 70, "Input"], Cell[41780, 1180, 32061, 1443, 181, 18903, 1275, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[73882, 2625, 105, 2, 70, "Subsection", Evaluatable->False], Cell[73990, 2629, 276, 5, 70, "Text", Evaluatable->False], Cell[74269, 2636, 326, 6, 70, "Input"], Cell[CellGroupData[{ Cell[74618, 2644, 192, 3, 70, "Input"], Cell[74813, 2649, 105, 2, 70, "Print", Evaluatable->False] }, Open ]], Cell[CellGroupData[{ Cell[74950, 2653, 73, 1, 70, "Input"], Cell[75026, 2656, 55989, 2389, 182, 33269, 2103, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[131056, 5047, 104, 2, 70, "Subsection", Evaluatable->False], Cell[131163, 5051, 275, 5, 70, "Text", Evaluatable->False], Cell[131441, 5058, 324, 6, 70, "Input"], Cell[CellGroupData[{ Cell[131788, 5066, 192, 3, 70, "Input"], Cell[131983, 5071, 106, 2, 70, "Print", Evaluatable->False] }, Open ]], Cell[CellGroupData[{ Cell[132121, 5075, 73, 1, 70, "Input"], Cell[132197, 5078, 55485, 2387, 181, 33320, 2108, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[187723, 7467, 112, 2, 70, "Subsection", Evaluatable->False], Cell[187838, 7471, 335, 6, 70, "Text", Evaluatable->False], Cell[188176, 7479, 313, 5, 70, "Input"], Cell[CellGroupData[{ Cell[188512, 7486, 192, 3, 70, "Input"], Cell[188707, 7491, 105, 2, 70, "Print", Evaluatable->False] }, Open ]], Cell[188824, 7495, 57087, 2402, 193, 33258, 2103, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[245952, 9899, 87, 2, 70, "Section", Evaluatable->False], Cell[246042, 9903, 440, 7, 70, "Text", Evaluatable->False] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)