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2009•Journal of Hebei UniversityRequires access

Existence and Construction of Biorthogonal Multiple Vector-valued Wavelets

Fang Qin-hua

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Abstract

Existence and construction of biorthogonal multiple vector-valued wavelets are studied.The author prove that given a pair of biorthogonal multiple vector-valued scaling functions there exists a pair of associated biorthogonal multiple vector-valued wavelet functions by means of vector subdivision scheme and matrix theory.The author also present a procedure for constructiong a class of compactly supported biorthogonal multiple vector-valued wavelets.

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What this paper is about

Existence and construction of biorthogonal multiple vector-valued wavelets are studied.The author prove that given a pair of biorthogonal multiple vector-valued scaling functions there exists a pair of associated biorthogonal multiple vector-valued wavelet functions by means of vector subdivision scheme and matrix theory.The author also present a procedure for constructiong a class of compactly supported biorthogonal multiple vector-valued wavelets.

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Available abstract

Existence and construction of biorthogonal multiple vector-valued wavelets are studied.The author prove that given a pair of biorthogonal multiple vector-valued scaling functions there exists a pair of associated biorthogonal multiple vector-valued wavelet functions by means of vector subdivision scheme and matrix theory.The author also present a procedure for constructiong a class of compactly supported biorthogonal multiple vector-valued wavelets.

Key concepts: Biorthogonal system, Mathematics, Wavelet, Pure mathematics, Subdivision, Multiresolution analysis, Wavelet transform, Computer science

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