Title :
The Characteristics of Orthogonal Vector-Valued Three-Dimensional Wavelet Packets with Six-Scale Dilation Factor
Author :
Song, Suluo ; Wu, Hong-E
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Abstract :
Wavelet analysis has been developing a widely used mathematical branch for twenty years. In this work, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A feasible procedure for designing them is presented. Their properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.
Keywords :
matrix algebra; signal representation; time-frequency analysis; vectors; wavelet transforms; finite group theory; matrix theory; orthogonal vector-valued three-dimensional wavelet packet; orthogonality formulas; signal representation; six-scale dilation factor; time-frequency analysis method; Fourier transforms; Image coding; Information analysis; Mathematics; Power engineering and energy; Power engineering computing; Signal processing; Time frequency analysis; Wavelet analysis; Wavelet packets; Orthogonality formulas; matrix theory; time-frequency analysis method; 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.2009.389
