Existence and design of biorthogonal matrixvalued wavelets

ZHAI BoLan; CUI LiHong

Journal of Beijing University of Chemical Technology ›› 2008, Vol. 35 ›› Issue (5) : 103-106.

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Journal of Beijing University of Chemical Technology ›› 2008, Vol. 35 ›› Issue (5) : 103-106.
管理与数理科学

Existence and design of biorthogonal matrixvalued wavelets

  • ZHAI BoLan; CUI LiHong
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Abstract

Biorthogonal matrixvalued wavelets have been employed to analyse matrixvalued signals based on matrix multiresolution analysis. The sufficient condition for existence of a biorthogonal matrixvalued scaling function has been established in terms of the corresponding twoscale matrix symbols. Two designs based on factorization of biorthogonal twoscale matrix symbols are presented. In particular, explicit constructing formulations for biorthogonal matrixvalued wavelets are given. With these formulations, highpass filters of biorthogonal matrixvalued wavelets can be given explicitly by lowpass filters. Examples of two scale matrix filter banks are given.

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ZHAI BoLan; CUI LiHong. Existence and design of biorthogonal matrixvalued wavelets[J]. Journal of Beijing University of Chemical Technology, 2008, 35(5): 103-106

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