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Proceedings Paper

Three-scale wavelet transforms
Author(s): Raghuveer M. Rao; J. Scott Bundonis; Harold H. Szu
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Paper 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.

Paper Details

Date Published: 26 March 1998
PDF: 9 pages
Proc. SPIE 3391, Wavelet Applications V, (26 March 1998); doi: 10.1117/12.304883
Show Author Affiliations
Raghuveer M. Rao, Rochester Institute of Technology (United States)
J. Scott Bundonis, ABB Industrial Systems (United States)
Harold H. Szu, Univ. of Southwestern Louisiana (United States)

Published in SPIE Proceedings Vol. 3391:
Wavelet Applications V
Harold H. Szu, Editor(s)

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