Title :
A feasible method for constructing biorthogonal vector-valued finitely supported wavelets
Author :
Lv, Baoxian ; Gao, Hailin
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this paper, the notion of vector-valued multiresolution analysis and biorthogonal vector wavelets are introduced. The existence of biorthogonal finitely supported vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is discussed. A procedure for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis approach and filter bank theory.
Keywords :
filtering theory; image resolution; vectors; wavelet transforms; biorthogonal finitely supported vector-valued scaling function; biorthogonal vector-valued finitely supported wavelets; filter bank theory; multiresolution analysis approach; vector-valued multiresolution analysis; Biomedical signal processing; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency estimation; Hydrogen; Image coding; Power system harmonics; Wavelet analysis; Wavelet transforms; biorthogonal; filter banks; finite support; univariate; vector-valued; wavelets;
Conference_Titel :
Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5263-7
Electronic_ISBN :
978-1-4244-5265-1
DOI :
10.1109/ICIME.2010.5477507
