Title :
A Survey of Orthogonal Matrix-Valued Two-Dimensional Wavelet Packets with an Integer Quantity Dilation Matrix
Author :
Gao, Hongwei ; Cao, Yanping
Author_Institution :
Dept. of Math., Yulin Univ., Yulin, China
Abstract :
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this work, the notion of orthogonal matrix-valued two-dimensional wavelet packets with an integer Quantity Dilation Matrix is introduced. A procedure for constructing them is presented. Their orthogonal properties are discussed by virtue of finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas on the wavelet packets are established.
Keywords :
group theory; matrix algebra; time-frequency analysis; wavelet transforms; finite group theory; integer quantity dilation matrix; orthogonal matrix-valued 2D wavelet packets; time-frequency analysis; wavelet analysis; Image coding; Mathematics; Power engineering and energy; Power engineering computing; Signal processing; Time frequency analysis; Wavelet analysis; Wavelet packets; matrix-valued; time-frequency analysis method; two-dimensional; wavelet packets;
Conference_Titel :
Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3682-8
DOI :
10.1109/ESIAT.2009.411
