Symbolic convolution

Author

West, Kevin A. ; McClellan, James H.

Author_Institution

Sch. of Electr. Eng., Georgia Tech., Atlanta, GA, USA

Volume

36

Issue

4

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

386

Lastpage

393

Abstract

An implementation of convolution using a symbolic mathematics software package is described. The emphasis is on the internal data structure needed to represent signals that are defined piecewise over disjoint intervals. Then the overlap-add form of convolution is used to produce the convolution of signals that are the sum of piecewise segments. A working implementation has been completed for both discrete-time and continous-time convolution. Several examples are shown to illustrate the results and to suggest ways in which this sort of software might be useful for classroom presentations

Keywords

computer aided instruction; data structures; education; mathematics computing; symbol manipulation; Mathematica; classroom presentations; continous-time convolution; discrete time convolution; internal data structure; piecewise segments; signal representation; symbolic convolution; symbolic mathematics software package; Convolution; Data structures; Helium; Mathematics; Matrix decomposition; Polynomials; Programming environments; Signal processing algorithms; Software packages; Solids;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.241617

Filename

241617