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Information Technology Journal
  Year: 2011 | Volume: 10 | Issue: 6 | Page No.: 1170-1177
DOI: 10.3923/itj.2011.1170.1177
 
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An Algorithm for Designing a Sort of Biorthogonal Multiple Vector-valued Wavelets and their Properties

Qingjiang Chen and Baoxian Lv

Abstract:
Wavelet analysis has been a popular subject for over twenty years. The multiple vector-valued multiresolution analysis of space L2 (, CSxS) is introduced and the notion of biorthogonal multiple vector-valued wavelets with five-scale is proposed. A necessary and sufficient condition on the existence of biorthogonal multiple vector-valued wavelets is presented by means of paraunitary vector filter bank theory. An algorithm for constructing a sort of biorthogonal multiple vector-valued finitely supported wavelets is provided. We also characterize the multiple vector-valued wavelet wraps and three biorthogonality formulas concerning the wavelet wraps are established by virtue of time frequency analysis, iterative and operator method. Moreover, it is shown how to obtain new Riesz bases of space L2 (, CSxS) from these wavelet wraps.
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How to cite this article:

Qingjiang Chen and Baoxian Lv, 2011. An Algorithm for Designing a Sort of Biorthogonal Multiple Vector-valued Wavelets and their Properties. Information Technology Journal, 10: 1170-1177.

DOI: 10.3923/itj.2011.1170.1177

URL: https://scialert.net/abstract/?doi=itj.2011.1170.1177

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