Construction of a class of compactly supported biorthogonal multiple vector-valued wavelets

Authors:
Tongqi Zhang;Qingjiang Chen
Affiliations:
Institute of Math. and Appli.Math., Weinan Teachers College, Weinan, China;School of Science, Xi’an Jiaotong University, Xi’an, China
Venue:
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
Year:
2005

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Abstract

In this paper, we introduce the notion of vector-valued multiresolution analysis. We discuss the existence of biorthogonal multiple vector-valued wavelets. An algorithm for constructing a class of compactly supported biorthogonal multiple vector-valued wavelets associated with the biorthogonal multiple vector-valued scaling functions is presented by using multiresolution analysis and matrix theory.