Title :
An Investigation into Vector-valued Multivariate Wavelet Packets
Author :
Luo, Ping ; Li, Juanfei
Author_Institution :
Elementary Dept., Henan Polytech. Inst., Nanyang, China
Abstract :
Wavelet analysis has become a popular subject in scientific research for twenty years. In this paper, the notion of orthogonal vector-valued multivariate wavelet packets with four-scale is introduced. A method for constructing them is presented. Their orthogonal property is characterized by virtue of finite group theory, time-frequency analysis method and matrix theory. Three orthogonality formulas are established.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; finite group theory; matrix theory; orthogonal vector-valued multivariate wavelet packets; time-frequency analysis; wavelet analysis; Aggregates; Fourier transforms; Hydrogen; Image coding; Signal processing; Software engineering; Time frequency analysis; Wavelet analysis; Wavelet packets; four-scale; multivariate; orthogonality; vector-valued wavelet packets; wavelet analysis;
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.2009.371
