Title :
The Presentation of the Properties of Vector-valued Higher-dimensional Wavelet Packets with Three-scale
Author :
Hua, Delin ; Wu, Hong-E
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Abstract :
Wavelet analysis has become a popular subject in scientific research in the past twenty years. Nowadays, it has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the notion of orthogonal vector-valued wavelet packets with 3Is-dilation matrix in higher dimensions is introduced. A procedure for constructing them is presented. Their orthogonal properties are characterized by virtue of finite group theory, time-frequency analysis method and matrix theory, and orthogonality formulas are obtained.
Keywords :
group theory; matrix algebra; time-frequency analysis; vectors; wavelet transforms; 3Is-dilation matrix; engineering computation; finite group theory; matrix theory; natural science; orthogonal vector-valued wavelet packets; orthogonality formulas; scientific research; time-frequency analysis method; vector-valued higher-dimensional wavelet packets; Educational technology; Image coding; Intelligent systems; Mathematics; Power engineering and energy; Power engineering computing; Time frequency analysis; Variable speed drives; Wavelet analysis; Wavelet packets; dilation matrix; orthogonal; time-frequency analysis method; vector-valued; wavelet packets;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.406
