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Proceedings Paper

Subband coding for sigmoidal nonlinear operations
Author(s): John J. Benedetto; Sandra Saliani
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Paper Abstract

A theory of wavelet packets is developed for nonlinear operators consisting of a composition, generalizing a sigmoidal operation, followed by convolutions with filter pairs H0 and H1. The pyramidal wavelet packet structure is defined by bit reversal trees. The reconstruction theorem, from which the original signal is obtained from frequency localized data at other nodes of the three, requires fixed point theory as well as conditions on H0 and H1 resembling those defining quadrature mirror filter pairs. Applications will be to biological systems and neural networks where such nonlinearities occur.

Paper Details

Date Published: 15 March 1994
PDF: 9 pages
Proc. SPIE 2242, Wavelet Applications, (15 March 1994); doi: 10.1117/12.170043
Show Author Affiliations
John J. Benedetto, Univ. of Maryland/College Park (United States)
Sandra Saliani, Univ. of Potenza (Italy)

Published in SPIE Proceedings Vol. 2242:
Wavelet Applications
Harold H. Szu, Editor(s)

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