Title :
Construction of a Sort of Biorthogonal Vector Wavelets with Four-scale
Author :
Guo, Mingpu ; Wang, Ping-An
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this article, the vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale are introduced. Existence conditions of biorthogonal vector-valued wavelets with finite support associated with a pair of biorthogonal vector-valued finitely supported scaling functions are presented. A novel method for constructing a class of biorthogonal finitely supported vector-valued wavelets with four-scale is proposed by using matrix theory and multiresolution analysis.
Keywords :
matrix algebra; signal resolution; vectors; wavelet transforms; biorthogonal vector wavelets; four-scale; matrix theory; scaling functions; vector-valued multiresolution analysis; vector-valued wavelets; Fourier transforms; Fractals; Frequency estimation; Hydrogen; Image processing; Information technology; Multiresolution analysis; Signal analysis; Wavelet analysis; Wavelet transforms; biorthogonal; finite support; four-scale; multiresolution analysis; vector-valued wavelets;
Conference_Titel :
Intelligent Information Technology Application Workshops, 2009. IITAW '09. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-6420-3
Electronic_ISBN :
978-1-4244-6421-0
DOI :
10.1109/IITAW.2009.18
