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Proceedings Paper

Convolution, filtering, linear systems, the Wiener-Khinchin theorem: generalizations
Author(s): Leon Cohen
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Paper Abstract

A simple formulation is given for generating convolution theorems in any representation. Using this method we obtain the convolution theorem for the scale representation. We generalize the concept of invariance to any basis set and devise a method for handling linear invariant systems for arbitrary quantities. The Wiener-Khinchin theorem is generalized to arbitrary power energy densities. Also, we show how standard probability theory can be formulated in terms of signals.

Paper Details

Date Published: 30 November 1992
PDF: 16 pages
Proc. SPIE 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III, (30 November 1992); doi: 10.1117/12.130944
Show Author Affiliations
Leon Cohen, Rutgers Univ. (United States)

Published in SPIE Proceedings Vol. 1770:
Advanced Signal Processing Algorithms, Architectures, and Implementations III
Franklin T. Luk, Editor(s)

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