The properties of biorthogonal vector-valued higher dimensional wavelet packets with four-scale

Author

Xiao-Feng ; Guo, Ming-pu

Author_Institution

Dept. of Fundamental Sci., Pingdingshan Inst. of Technol., Pingdingshan

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

692

Lastpage

698

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(Rⁿ,C^v) from these wavelet packets.

Keywords

matrix algebra; signal resolution; time-frequency analysis; vectors; wavelet transforms; Riesz base; biorthogonal vector-valued higher dimensional wavelet packet; matrix theory; multiresolution analysis; multivariate wavelet packet; operator theory; signal processing; time-frequency analysis; Discrete transforms; Functional analysis; Multidimensional systems; Multiresolution analysis; Pattern analysis; Pattern recognition; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; Multiresolution Analysis; Multivariate; Vector-valued; Wavelet Packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-2238-8

Electronic_ISBN

978-1-4244-2239-5

Type

conf

DOI

10.1109/ICWAPR.2008.4635868

Filename

4635868