Existence and construction of biorthogonal compactly supported vector-valued wavelets

Author

Chen, Qing-jiang ; Cao, Huai-Xin

Author_Institution

Shaanxi Normal Univ., Xian

Volume

4

fYear

2007

fDate

2-4 Nov. 2007

Firstpage

1723

Lastpage

1728

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; signal resolution; vectors; wavelet transforms; biorthogonal compactly supported vector-valued wavelet function; matrix theory; scaling function; vector-valued multiresolution analysis; Discrete wavelet transforms; Educational institutions; Hydrogen; Information analysis; Multiresolution analysis; Notice of Violation; Pattern analysis; Pattern recognition; Signal processing algorithms; Wavelet analysis; Vector-valued scaling functions; multiresolution analysis; refinement equation; vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-1065-1

Electronic_ISBN

978-1-4244-1066-8

Type

conf

DOI

10.1109/ICWAPR.2007.4421732

Filename

4421732