Symbolic convolution

摘要

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.