The survey of biorthogonal vector-valued multivariate wavelet packets with nine-scale

Author

Chen, Qing-jiang ; An, Zong-ling

Author_Institution

Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China

fYear

2009

fDate

12-15 July 2009

Firstpage

417

Lastpage

422

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 higher-dimensional wavelet packets 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,C^v) from these wavelet packets.

Keywords

mathematical operators; matrix algebra; time-frequency analysis; vectors; wavelet transforms; biorthogonal wavelet; matrix theory; operator theory; time-frequency analysis method; vector-valued packet; Educational technology; Electronic mail; Functional analysis; Multidimensional systems; Pattern analysis; Pattern recognition; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; Multiresolution analysis; Vector-valued; Wavelet packets; multivariate;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3728-3

Electronic_ISBN

978-1-4244-3729-0

Type

conf

DOI

10.1109/ICWAPR.2009.5207453

Filename

5207453