Title :
Construction of Filter Banks of Biorthogonal Vector-valued Compactly Supported Wavelets with Three-Scale
Author :
Chen, Qingjiang ; Wang, Ping-An
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Arch & Tech., Xi´´an, China
Abstract :
Wavelet analysis has become a popular subject in scientific research for twenty years. It has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of vector-valued multiresolution analysis is introduced and the definition of the biorthogonal vector-valued wavelets is given. The existence of biorthogonal vector-valued wavelets associated with a pair of biorthogonal vector-valued compactly supported scaling functions is investigated. An algorithm for constructing a class of biorthogonal vector-valued compactly supported wavelet functions is presented by virtue of multiresolution analysis and matrix theory.
Keywords :
filtering theory; matrix algebra; vectors; wavelet transforms; biorthogonal vector-valued compactly supported scaling functions; biorthogonal vector-valued compactly supported wavelet functions; engineering computation; filter banks; matrix theory; natural science; vector-valued multiresolution analysis; Discrete wavelet transforms; Filter bank; Hydrogen; Image coding; Intelligent systems; Multiresolution analysis; Power engineering and energy; Power engineering computing; Signal processing algorithms; Wavelet analysis; biorthogonal; compact support; filter banks; multiresolution analysis; scaling function; vector-valued; wavelets;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.396
