Title :
The research of the univariate multiple vector-valued wavelet packets with multiscale dilation factor
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this paper, we introduce matrix-valued multiresolution analysis and orthogonal multiple vector-valued wavelet packets. A procedure of the construction of orthogonal multiple vector-valued wavelet packets is presented. The property of the multiple vector-valued wavelet packets has been characterized. In particular, a new orthogonal basis of L2(R,Cs×s) is drawn from these wavelet packets.
Keywords :
signal processing; wavelet transforms; matrix-valued multiresolution analysis; multiscale dilation factor; orthogonal multiple vector-valued wavelet packets; signal processing; univariate multiple vector-valued wavelet packets; Biomedical signal processing; Equations; Hydrogen; Image analysis; Intelligent transportation systems; Multiresolution analysis; Power electronics; Signal analysis; Wavelet analysis; Wavelet packets; Dilation equation; matrix-valued multiresolution analysis; scaling functions; wavelet packets;
Conference_Titel :
Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4244-4544-8
DOI :
10.1109/PEITS.2009.5406752
