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# Existence and Designment of Filter Banks of Biorthogonal Vector-Valued Wavelets with Three-Scale Constant Factor

## Abstract:

In this work, the notion of vector-valued multiresolution analysis and biort- ogonal vector–valued wavelets is introduced. The existence of compactly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A new method for constructing a class of biorthogonal compactly supported vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.

## Info:

Periodical:

Main Theme:

Edited by:

Yanwen Wu

Pages:

938-943

DOI:

10.4028/www.scientific.net/KEM.439-440.938

Citation:

H. W. Gao and L. P. Ding, "Existence and Designment of Filter Banks of Biorthogonal Vector-Valued Wavelets with Three-Scale Constant Factor", Key Engineering Materials, Vols. 439-440, pp. 938-943, 2010

Online since:

June 2010

Authors:

Price:

$38.00

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