Title :
Existence and construction of biorthogonal compactly supported vector-valued wavelets
Author :
Chen, Qing-jiang ; Cao, Huai-Xin
Author_Institution :
Shaanxi Normal Univ., Xian
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;
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
DOI :
10.1109/ICWAPR.2007.4421732
