The biorthogonality quality of the multielement wavelet packets with three-scale

Author

Lv, Baoxian ; Guo, Mingpu

Author_Institution

Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China

Volume

2

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

180

Lastpage

183

Abstract

In this paper, we introduce a class of vector-valued wavelet packets of space L²(R^s, C^v), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space L²(R^s, C^v) from these wavelet packets.

Keywords

matrix algebra; time-frequency analysis; vectors; wavelet transforms; Riesz base; biorthogonality; matrix theory; multielement wavelet packets; operator theory; time-frequency analysis; Fractals; Image processing; Intelligent transportation systems; Multiple signal classification; Multiresolution analysis; Power electronics; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; multiresolution analysis; multivariate; vector-valued; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on

Conference_Location

Shenzhen

Print_ISBN

978-1-4244-4544-8

Type

conf

DOI

10.1109/PEITS.2009.5406925

Filename

5406925