Title :
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
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;
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
DOI :
10.1109/ICWAPR.2008.4635831
