Title :
An algorithm for Designing Biorthogonal Wavelets with Compact Support
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
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 scaling functions; biorthogonal vector-valued wavelets; biorthogonal wavelets designing; matrix theory; vector-valued multiresolution analysis; Algorithm design and analysis; Biomedical signal processing; Discrete wavelet transforms; Fourier transforms; Frequency estimation; Image coding; Multiresolution analysis; Power system harmonics; Signal processing algorithms; Wavelet analysis;
Conference_Titel :
Power and Energy Engineering Conference (APPEEC), 2010 Asia-Pacific
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4812-8
Electronic_ISBN :
978-1-4244-4813-5
DOI :
10.1109/APPEEC.2010.5448426
