Three-scale wavelet transforms

Raghuveer M. Rao; J. Scott Bundonis; Harold H. Szu

doi:10.1117/12.304883

26 March 1998 Three-scale wavelet transforms

Raghuveer M. Rao, J. Scott Bundonis, Harold H. Szu

Author Affiliations +

Proceedings Volume 3391, Wavelet Applications V; (1998) https://doi.org/10.1117/12.304883
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

Two different problems are investigated. The first is the construction of orthogonal, bandlimited, triadic decompositions. It is shown that the solution involves a scaling function that is a generalization of the Meyer scaling function to the triadic case. The squared sum of the Fourier transform magnitudes of the corresponding wavelet pair displays properties that are a generalization of properties of the Fourier transform of the Meyer wavelet. The paper formulates equations for splitting the sum into two orthogonal wavelets. The second problem is the formulation of a simple, iterative, pseudo-inverse algorithm to provide solution to a triadic extension of the Cohen- Daubechies-Feasuveau method of designing regular, compact biorthogonal wavelets and filter banks.

Citation Download Citation

Raghuveer M. Rao, J. Scott Bundonis, and Harold H. Szu "Three-scale wavelet transforms", Proc. SPIE 3391, Wavelet Applications V, (26 March 1998); https://doi.org/10.1117/12.304883

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