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Proceedings Paper

Transforming convolution and correlation
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Paper Abstract

We give an explicit expression for the transform of a signal in an arbitrary representation which has first been filtered in another representation. Using this formula we connect the work of Cohen for obtaining convolution and correlation theorems in arbitrary representations with the work of Lindsey and Suter for partitioning the space of integral transforms.

Paper Details

Date Published: 5 December 2001
PDF: 6 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449703
Show Author Affiliations
Leon Cohen, CUNY/Hunter College (United States)
Alan R. Lindsey, Air Force Research Lab. (United States)
Bruce W. Suter, Air Force Research Lab. (United States)

Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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