Researches into Orthogonal Multivariate Wavelet Packets with Finite Support

Author

Feng, Jinshun ; Qiao, Xuejun

Author_Institution

Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China

Volume

3

fYear

2009

fDate

21-22 Nov. 2009

Firstpage

640

Lastpage

643

Abstract

Wavelet theory has been the focus of active research for twenty years, both in theory and applications. In this paper, the notion of orthogonal vector-valued multivariate wavelet packets with five-scale is proposed. A novel procedure for constructing them is developed. Their orthogonal properties are characterized by virtue finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are established. New orthonormal bases of L²(R^s, C^r) are obtained drawn from these vector-valued wavelet packets.

Keywords

group theory; matrix algebra; time-frequency analysis; wavelet transforms; finite group theory; finite support; matrix theory; orthogonal vector-valued multivariate wavelet packets; orthogonality formulas; time-frequency analysis method; Aggregates; Educational technology; Fourier transforms; Frequency estimation; Information technology; Power system analysis computing; Power system harmonics; Time frequency analysis; Wavelet analysis; Wavelet packets; finite support; matrix theory; multivariate; orthogonality formulas; vector-valued wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on

Conference_Location

Nanchang

Print_ISBN

978-0-7695-3859-4

Type

conf

DOI

10.1109/IITA.2009.264

Filename

5370188