2010•Journal of Jiangxi Normal UniversityRequires access

Explicit Construction of Filter Banks of Biorthogonal Bivariate Wavelets with Three-Scale Fator

Han Ke-zhong

Abstract

The matrix extension problem for constructing filters of biorthogonal bivariate wavelets from the biorthogonal bivariate scaing functions is investigated. Explicit formulas for constructing filters of a class biorthogonal bivariate wavelets with three-scale factor are formulated by virtue of matrix polyphase decomposition method and time-frequency analysis method. Their properties are discussed,and three biorthogonality formulas concerning these wavelet packets are obtained.

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Key concepts: Biorthogonal system, Bivariate analysis, Wavelet, Mathematics, Class (philosophy), Matrix (chemical analysis), Biorthogonal wavelet, Polyphase system