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Proceedings Paper

Wavelets and adaptive signal processing
Author(s): Howard L. Resnikoff
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Paper Abstract

Compactly supported wavelet bases are sets of compactly supported functions that are orthonormal bases for a wide variety of function spaces, including signals that have finite energy or finite power. This article places the theory of compactly supported wavelets in its historical context. Wavelet matrices and wavelet functions of one and two variables are defined. The continuous, discrete, and finite wavelet transforms are contrasted with the corresponding Fourier transforms. A multirate digital filter interpretation is provided and adaptive trees of wavelet filters are described.

Paper Details

Date Published: 1 December 1991
PDF: 13 pages
Proc. SPIE 1565, Adaptive Signal Processing, (1 December 1991); doi: 10.1117/12.49792
Show Author Affiliations
Howard L. Resnikoff, Aware, Inc. (United States)

Published in SPIE Proceedings Vol. 1565:
Adaptive Signal Processing
Simon Haykin, Editor(s)

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