A Feasible Algorithm for Designing Biorthogonal Binary Finitely Supported Multiwavelet Functions

Bao Min Yu

doi:10.4028/www.scientific.net/AMR.225-226.1092

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 225-226A Feasible Algorithm for Designing Biorthogonal...

A Feasible Algorithm for Designing Biorthogonal Binary Finitely Supported Multiwavelet Functions

Abstract:

Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of vector-valued multiresolution analysis is introduced and the definition of the biorthogonal vector-valued bivariate wavelet functions is given. The existence of biorthogonal vector-valued binary wavelet functions associated with a pair of biorthogonal vector-valued finitely supported binary scaling functions is investigated. An algorithm for constructing a class of biorthogonal vector-valued finitely supported binary wavelet functions is presented by virtue of multiresolution analysis and matrix theory.

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Periodical:

Advanced Materials Research (Volumes 225-226)

Pages:

1092-1095

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.225-226.1092

Citation:

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Online since:

April 2011

Authors:

Bao Min Yu

Keywords:

Biorthogonality, Vector-Valued Multiresolution Analysis, Vector-Valued Wavelet

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