Construction and decomposition of biorthogonal vector-valued wavelets with compact support

Qingjiang Chen, Huaixin Cao and Zhi Shi

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2765-2778

Abstract: In this article, we introduce vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale. The existence of a class of biorthogonal vector-valued wavelets with compact support associated with a pair of biorthogonal vector-valued scaling functions with compact support is discussed. A method for designing a class of biorthogonal compactly supported vector-valued wavelets with four-scale is proposed by virtue of multiresolution analysis and matrix theory. The biorthogonality properties concerning vector-valued wavelet packets are characterized with the aid of time–frequency analysis method and operator theory. Three biorthogonality formulas regarding them are presented.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2765-2778

DOI: 10.1016/j.chaos.2009.03.187

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