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

Volume

1

fYear

2009

fDate

4-5 July 2009

Firstpage

615

Lastpage

618

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;

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.2009.411

Filename

5200197