Title :
The Description of Properties of Vector-Valued Wavelet Packets with Six-scale
Author :
Liu, Ruohui ; Peng, Jialong
Author_Institution :
Dept. of Comput. Sci., Huanghuai Univ., Zhumadian, China
Abstract :
Wavelet analysis is an active research subject for twenty years. In this paper, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A procedure for constructing them is presented. Their properties are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.
Keywords :
group theory; matrix algebra; signal processing; time-frequency analysis; vectors; wavelet transforms; finite group theory; matrix theory; orthogonal vector-valued wavelet packet; signal processing; time-frequency analysis method; Computer science; Fourier transforms; Image coding; Mathematics; Signal processing; Software engineering; Time frequency analysis; Variable speed drives; Wavelet analysis; Wavelet packets; higher dimensions; orthogonality formulas; time-frequency analysis method; vector-valued; wavelet packets;
Conference_Titel :
Software Engineering, 2009. WCSE '09. WRI World Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3570-8
DOI :
10.1109/WCSE.2009.374
