The Properties of Multivariate Wavelet Packets Associated with Eight-Scaled Filter Bank Functions

Author

Lv, Baoxian ; Tian, Xinxian

Author_Institution

Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China

fYear

2010

fDate

22-24 Jan. 2010

Firstpage

334

Lastpage

338

Abstract

In this paper, we introduce a sort of vector-valued wavelet packets with eight-scale dilation factor for vector-valued multivariate function space. A new procedure for designing a sort of biorthogonal vector-valued multivariate wavelet packets according to a pair of biorthogonal vector-valued scaling functions, 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 obtained. Moreover, it is shown how to gain new Riesz bases of space L²(R^s,C^u) from these wavelet packets.

Keywords

channel bank filters; matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal vector-valued multivariate wavelet packets; biorthogonal vector-valued scaling functions; filter bank functions; matrix theory; operator theory; time-frequency analysis method; vector-valued multivariate function space; Educational institutions; Electronic learning; Filter bank; Fourier transforms; Mathematics; Multiresolution analysis; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; matrix theory; multivariate; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

e-Education, e-Business, e-Management, and e-Learning, 2010. IC4E '10. International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-5680-2

Electronic_ISBN

978-1-4244-5681-9

Type

conf

DOI

10.1109/IC4E.2010.87

Filename

5432455