A study on compactly supported orthogonal vector-valued wavelets and wavelet packets

Qingjiang Chen and Zhengxing Cheng

Chaos, Solitons & Fractals, 2007, vol. 31, issue 4, 1024-1034

Abstract: In this paper, vector-valued multiresolution analysis and orthogonal vector-valued wavelets are introduced. The definition for orthogonal vector-valued wavelet packets is proposed. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is derived by means of paraunitary vector filter bank theory. An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets is presented. The properties of the vector-valued wavelet packets are investigated by using operator theory and algebra theory. In particular, it is shown how to construct various orthonormal bases of L2(R,Cs) from the orthogonal vector-valued wavelet packets.

Date: 2007
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:4:p:1024-1034

DOI: 10.1016/j.chaos.2006.03.097

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