Routines to Implement Concepts from Lattice Theory -- from Wolfram Library Archive

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Title

Routines to Implement Concepts from Lattice Theory

Authors

Brian L. Evans

Organization:

University of Texas

Department:

Department of Electrical and Computer Engineering

URL:	http://www.ece.utexas.edu/~bevans/

James H. McClellan

Organization:

Georgia Tech

Old MathSource #

0204-556

Revision date

1992-09-01

Description

This package provides some of the functions that are common in lattice theory (such as computing distinct coset vectors) and the geometry of numbers (such as the Bézout identity and generalized Euclid factors) that are not implemented in Mathematica. These routines form the basis for multirate signal processing.

Subjects

	Engineering > Signal Processing
	Mathematics > Algebra > Linear Algebra
	Mathematics > Foundations of Mathematics > Set Theory
	Mathematics > Number Theory
	Wolfram Technology > Programming

Keywords

Pure Mathematics, Signal Processing, Engineering, Communications Engineering, Electrical Engineering, multirate signal processing, lattice theory, coset vector, Bezout identity, Euclid factors, downsampling, sampling matrix, upsampling, BezoutNumbers, ColumnHermiteForm, CommutableResamplingMatricesQ, DiagonalMatrixQ, DistinctCosetVectors, GCLD, GCRD, IncList, ImpulseTrain, IntegerVectorQ, LCLM, LCRM, NormalizeSamplingMatrix, RegUnimodularResMatrixQ, RelativelyPrime, ReorderResampling, ResamplingMatrix, ResamplingMatrixMod, RowHermiteForm, SmithFormPivot, SmithFormSameU, SmithFormSameV, SmithLLLForm, SmithNormalForm, SmithOrderedForm, SmithReducedForm, UpsampledSystem

Downloads

LatticeTheory.m (52 KB) - Mathematica package

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