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

Volume

3

fYear

2009

fDate

4-5 July 2009

Firstpage

501

Lastpage

504

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-0-7695-3682-8

Type

conf

DOI

10.1109/ESIAT.2009.389

Filename

5199740