Algorithms to design adaptive biorthogonal MRA generating wavelets

Raghuveer M. Rao; Joseph O. Chapa

doi:10.1117/12.235993

22 March 1996 Algorithms to design adaptive biorthogonal MRA generating wavelets

Raghuveer M. Rao, Joseph O. Chapa

Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.235993
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

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.

Citation Download Citation

Raghuveer M. Rao and Joseph O. Chapa "Algorithms to design adaptive biorthogonal MRA generating wavelets", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.235993

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