Title :
The biorthogonality quality of the multielement wavelet packets with three-scale
Author :
Lv, Baoxian ; Guo, Mingpu
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this paper, we introduce a class of vector-valued wavelet packets of space L2(Rs, Cv), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space L2(Rs, Cv) from these wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; vectors; wavelet transforms; Riesz base; biorthogonality; matrix theory; multielement wavelet packets; operator theory; time-frequency analysis; Fractals; Image processing; Intelligent transportation systems; Multiple signal classification; Multiresolution analysis; Power electronics; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; multiresolution analysis; multivariate; vector-valued; 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.2009.5406925