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Proceedings Paper

Multiplicative and zero-crossing representations of signals
Author(s): Anca Deliu; Michael L. Hilton; Bjorn D. Jawerth; Prasanjit Panda; Wim Sweldens
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Paper Abstract

The implicit sampling theorem of Bar-David gives a representation of band limited functions using their crossings with a cosine function. This cosine function is chosen such that its difference with the original function has sufficient zero crossings for a unique representation. We show how, on an interval, this leads to a multiplicative representation involving a Riesz product. This provides an alternative to the classic additive Fourier series. We discuss stability and implementation issues. Since we have an explicit reconstruction formula, there is no need for an iterative algorithm.

Paper Details

Date Published: 11 October 1994
PDF: 11 pages
Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188789
Show Author Affiliations
Anca Deliu, Georgia Institute of Technology (United States)
Michael L. Hilton, Univ. of South Carolina (United States)
Bjorn D. Jawerth, Univ. of South Carolina (United States)
Prasanjit Panda, Univ. of South Carolina (United States)
Wim Sweldens, Univ. of South Carolina (USA)and Katholieke Univ. Leuven (Belgium)

Published in SPIE Proceedings Vol. 2303:
Wavelet Applications in Signal and Image Processing II
Andrew F. Laine; Michael A. Unser, Editor(s)

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