The Characteristics of Biorthogonal Multivariate Wavelets Associated with a Pair of Biorthogonal Scaling Function Vector

Author

Quan, Yuxi ; Chen, Qingjiang

Author_Institution

Sch. of Sci., Xi´´an Univ. of Arch & Tech., Xi´´an, China

Volume

1

fYear

2010

fDate

6-7 March 2010

Firstpage

362

Lastpage

365

Abstract

Wavelet analysis has become an active research field for over twenty years. In this work, we develop the concept of a class of biorthogonal vector-valued multivariate wavelet packets associated with a pair of biorthogonal scaling function vector. A new method for constructing biorthogonal multivariate vector wavelet packets is formulated. Their characteristics are researched by means of operator theory, time frequency analysis method and matrix theory. Three orthogonality formulas regarding the wavelet packets are provided. Birthogonality decomposition relation formulas of the space L2(Rr)3 are obtained by constructing a series of subspaces of the vector-valued wavelet packets. Furthermore, several wavelet packet bases of space L2(Rr)3 are constructed from the wavelet packets

Keywords

Aggregates; Eigenvalues and eigenfunctions; Filter bank; Frequency; Image coding; Matrix decomposition; Multiresolution analysis; Wavelet analysis; Wavelet packets; Zirconium; Riesz bases; biorthogonality properties; operator theory; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Challenges in Environmental Science and Computer Engineering (CESCE), 2010 International Conference on

Conference_Location

Wuhan, China

Print_ISBN

978-0-7695-3972-0

Electronic_ISBN

978-1-4244-5924-7

Type

conf

DOI

10.1109/CESCE.2010.230

Filename

5493150