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Proceedings Paper

Pyramidal Riesz products associated with subband coding and self-similarity
Author(s): John J. Benedetto; Erica G. Bernstein
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Paper Abstract

A new Riesz product is formulated in terms of waveletpacket pyramidal tree structures. A path within such a structure is determined by a lacunarity criterion and a sequence (H(epsilon (j))) of filters, where each H(epsilon (j)) is one or the other element of a prescribed subband coding pair (H0, H1) of FIR filters. The Riesz product associated with a given path is a continuous radon measure. Path based criteria are given to determine singular and absolutely continuous pairs of such measures. The measures have full support, and their approximants exhibit fractal behavior. These properties can be used to design a secure transmission scheme in communications theory.

Paper Details

Date Published: 6 April 1995
PDF: 10 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205389
Show Author Affiliations
John J. Benedetto, Univ. of Maryland/College Park and MITRE Corp. (United States)
Erica G. Bernstein, MITRE Corp. (United States)

Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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