Title :
The characteristics of orthogonal vector-valued multivariate wavelet packets with three-scale factor
Author :
Chen, Qing-jiang ; Ding, Li-Ping
Author_Institution :
Sch. of Sci., Xian Univ. of Archit.&Technol., Xian
Abstract :
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of orthogonal vector-valued wavelet packets with 3-scale in higher dimensions is introduced. A procedure for constructing them is presented. Their orthogonality property is characterized by virtue of finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are obtained.
Keywords :
group theory; matrix algebra; signal representation; time-frequency analysis; vectors; wavelet transforms; finite group theory; matrix theory; orthogonal vector-valued multivariate wavelet packet; orthogonality formula; signal representation; three-scale factor; time-frequency analysis method; wavelet analysis; Computer architecture; Electronic mail; Image coding; Pattern analysis; Pattern recognition; Power engineering and energy; Power engineering computing; Time frequency analysis; Wavelet analysis; Wavelet packets; Higher Dimensions; Multi-resolution Analysis; Orthogonal; Wavelet Packets;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635865
