Title :
Construction of Biorthogonal Compactly Supported Vector-Valued Wavelets
Author_Institution :
Dept. of Math., Weinan Teachers Coll., Weinan
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; wavelet transforms; biorthogonal compactly supported vector-valued wavelets; matrix theory; scaling functions; vector-valued multiresolution analysis; Aerodynamics; Biomedical signal processing; Discrete wavelet transforms; Educational institutions; Fluid flow; Image coding; Integral equations; Mathematics; Multiresolution analysis; Wavelet analysis; biorthogonal; multiresolution analysis; scaling functions; vector-valued wavelets;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.180
