Title :
Study of a Sort of Orthogonal Multiple Vector-Valued Trivariate Wavelet Packets
Author :
Wang, Xiaofeng ; Song, Deyao
Author_Institution :
Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
Abstract :
Wavelet analysis has been developing a widely used mathematical branch for twenty years. In this work, the notion of biorthogonal multiple vector-valued trivariate wavelet packets is introduced. A new feasible method for designing them is presented. Their properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Three orthogonality formulas are established.
Keywords :
time-frequency analysis; wavelet transforms; finite group theory; matrix theory; orthogonal multiple vector-valued trivariate wavelet packets; time-frequency analysis method; wavelet analysis; Design methodology; Image coding; Information analysis; Mathematics; Physics; Power engineering and energy; Power engineering computing; Time frequency analysis; Wavelet analysis; Wavelet packets; multiple; orthogonal; trivariate; vector-valued; 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.2009.430
