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