Construction of a class of compactly supported orthogonal vector-valued wavelets

Lei Sun and Zhengxing Cheng

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 253-261

Abstract: In this paper, first we introduce vector-valued multiresolution analysis with dilation factor α⩾2 and orthogonal vector-valued wavelet. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelet is derived. Then, for a given L-length compactly supported orthogonal vector-valued wavelet system, by virtue of an s×s orthogonal real matrix M and an s×s symmetry idempotent real matrix H where M(Is−H+He−iη) is a unitary matrix for each η∈R, we construct (L+1)-length compactly supported orthogonal vector-valued wavelet system. Our method is of flexibility and easy to carry out. Finally, as an application we give an example.

Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:253-261

DOI: 10.1016/j.chaos.2006.06.085

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