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Symbolic convolution

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2 Author(s)
West, K.A. ; Sch. of Electr. Eng., Georgia Tech., Atlanta, GA, USA ; McClellan, J.H.

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

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Education, IEEE Transactions on  (Volume:36 ,  Issue: 4 )