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Spline Wavelet Analysis
Author

Susumu Sakakibara
Organization: Tokyo Denki University
Department: Department of Information Environment Integration and Design
Old MathSource #

0206-873
Revision date

1994-06-16
Description

SplineWavelet.m is a Mathematica package in which functions to deal with a sequence of data are defined. Using the compactly supported scaling functions and wavelets besed on the cubic cardinal B-splines, the interpolating function that fits the data sequence can be obtained. The function can then be decomposed into a sum of scaling function representation and wavelet representation at a lower resolution level. The wavelet representation has an oscillatory behavior, it is considered to be the noise contained in the orignal data, while the scaling function representation at a lower resolution level is considered as the smoothed data. The notebook, SplineWaveletManual.nb, explains the basics as well as the usage of the package in detail.
Subject

*Applied Mathematics > Numerical Methods > Approximation Theory > Wavelets
Keywords

Spline wavelet analysis, applied mathematics, discrete mathematics, pure mathematics, harmonic analysis, digital signal processing, data processing, physics, engineering, sound, numerical methods, cubic splines, cardinal B-splines, cardinal splines
Downloads Download Wolfram CDF Player

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SplineWavelet.m (10.9 KB) - Mathematica package
Download
SplineWaveletManual.nb (1.2 MB) - Mathematica notebook documentation for SplineWavelet.m
Download
exp136b.03 (74 KB) - ASCII text data file

Files specific to Mathematica 2.2 version:
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SplineWavelet.m (14.7 KB) - Mathematica package
Download
SplineWaveletManual.ma (861.2 KB) - Mathematica notebook documentation for SplineWavelet.m