A method for constructing biorthogonal compactly supported vector-valued wavelets

Author

Wang, Xiao-feng ; Guo, Ming-pu

Author_Institution

Dept. of Fundamental Sci., Pingdingshan Inst. of Technol., Pingdingshan

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

496

Lastpage

501

Abstract

In this paper, the notion of vector-valued multiresolution analysis and biorthogonal vector-valued wavelets is introduced. The existence of compactly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. An algorithm for constructing a class of biorthogonal compactly supported vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.

Keywords

matrix algebra; support vector machines; vectors; wavelet transforms; compactly supported biorthogonal vector-valued wavelets; matrix theory; vector-valued multiresolution analysis; vector-valued scaling functions; Biomedical signal processing; Discrete wavelet transforms; Equations; Functional analysis; Image coding; Multiresolution analysis; Pattern analysis; Pattern recognition; Signal processing algorithms; Wavelet analysis; Multi resolution analysis; Refinement equation; Vector-valued scaling functions; Vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-2238-8

Electronic_ISBN

978-1-4244-2239-5

Type

conf

DOI

10.1109/ICWAPR.2008.4635831

Filename

4635831