MathGroup Archive 1991

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Transforms, Convolution, and more

     A new version (2.31) of public domain packages for Mathematica (1.2)
is available via anonymous ftp (see below) to perform

     -- linear transforms (Laplace, Fourier, z, DTFT, and DFT)
     -- linear convolution (discrete and continuous)

The transforms can fully justify their answers and can handle multi-sided,
multidimensional functions.

    Accompanying the packages are 9 notebooks.  Three are tutorials
covering the topics of convolution, the z-transform, and analog filter
design.  One is an introduction to Mathematica, signal processing, and
the signal processing packages.  The others serve as on-line help.

    The extended Mathematica environment has been useful in classes on
transform theory, linear systems theory, communications, and signal

    The packages and notebooks exist as a compressed tar file (called
``SigProc2.0.tar.Z'') in the Mathematica sub-directory of the ftp directory
at ``'' (IP #  Two TeX files,
``usersguide.tex'' and ``usage.tex'', exist there as well.  The users guide
covers the same material as the Mathematica Journal article but also updates
the changes made to the spp.  The other TeX file summarizes all of the 
Mathematica objects introduced by the spp.  This information can also be
found in the notebooks.  PostScript versions of the two TeX files
exist in the same directory for those who do not have access to TeX.

    These signal processing packages (spp) were discussed in the second
issue of the Mathematica Journal in the article ``Symbolic Transforms with
Applications to Signal Processing.''

Brian Evans

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