Biorthogonality Property of Vector-Valued Multivariate Wavelet Packets

Author

Chen, Qingjiang ; Wei, Zongtian

Author_Institution

Xian Univ. of Arch. & Tech. Sch. of Sci. Xian, Xian

Volume

5

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

471

Lastpage

475

Abstract

In this paper, we introduce a class of vector-valued wavelet packets of space L²(R^s,R^u), 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 obtain new Riesz bases of space L²(R^s,R^u) from these wavelet packets wavelet packets.

Keywords

mathematical operators; matrix algebra; time-frequency analysis; vectors; wavelet transforms; biorthogonality property; matrix theory; operator theory; time-frequency analysis method; vector valued multivariate wavelet packet; Aggregates; Discrete transforms; Fractals; Hydrogen; Image processing; Pixel; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Riesz bases; biorthogonal; multivariate; vector-valued wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2008. ICNC '08. Fourth International Conference on

Conference_Location

Jinan

Print_ISBN

978-0-7695-3304-9

Type

conf

DOI

10.1109/ICNC.2008.10

Filename

4667479