Higher-dimensional orthonormal vector-valued wavelet packet bases

Author

Luo, Ping ; Du, Jian-gen

Author_Institution

Elementary Dept., Henan Polytech. Inst., Nanyang

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

602

Lastpage

606

Abstract

In this paper, the notion of orthogonal vector-valued wavelet packets of the space L²(R^s,C^d) is introduced. A method for constructing the orthogonal vector-valued wavelet packets is presented. Their properties are investigated by virtue of time-frequency analysis method, matrix theory and finite group theory, and three orthogonality formulas with respect to the wavelet packets are established. Several orthonormal bases of L²(R^s,C^d) are obtained by constructing a series of subspaces of vector-valued wavelet packets.

Keywords

computational complexity; group theory; matrix algebra; time-frequency analysis; vectors; wavelet transforms; finite group theory; higher-dimensional orthonormal vector-valued wavelet packet bases; matrix theory; orthogonal vector-valued wavelet packets; refinement equation; time-frequency analysis method; Discrete wavelet transforms; Functional analysis; Image coding; Multiresolution analysis; Pattern analysis; Pattern recognition; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Multiresolution analysis; Orthonormal; Refinement equation; Scaling function; 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.2008.4635850

Filename

4635850