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Proceedings Paper

Algorithms to design adaptive biorthogonal MRA generating wavelets
Author(s): Raghuveer M. Rao; Joseph O. Chapa
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Paper Abstract

The problem of designing a mother wavelet such that this wavelet is as close as possible to a desired signal while it generates, along with a dual, a biorthogonal wavelet decomposition is addressed. It is shown that when the problem is addressed in the frequency domain with bandlimited scaling functions and wavelets, a simple formulation is possible. Further, a closed form sub-optimal solution is possible when the problem is broken down into a series of optimization problems. In the process of the problem formulation, a generalization of the Meyer class of wavelets to the biorthogonal case is obtained.

Paper Details

Date Published: 22 March 1996
PDF: 5 pages
Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); doi: 10.1117/12.235993
Show Author Affiliations
Raghuveer M. Rao, Rochester Institute of Technology (United States)
Joseph O. Chapa, Hanscom Air Force Base (United States)

Published in SPIE Proceedings Vol. 2762:
Wavelet Applications III
Harold H. Szu, Editor(s)

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