Design and Properties of Two-direction Compactly Supported Wavelet Packets with an Integer Dilation Factor

Author

Lv, Baoxian ; Wang, Xiaofeng

Author_Institution

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

Volume

3

fYear

2009

fDate

21-22 Nov. 2009

Firstpage

632

Lastpage

635

Abstract

In this article, the notion of biorthogonal two-direction compactly supported wavelet packets with a positive integer dilation factor Â¿ is introduced. A new approach for constructing biorthogonal two-direction wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The formulas for performing iterations and decomposition are established. Finally, two new Riesz bases of space L² (R) are obtained.

Keywords

matrix algebra; time-frequency analysis; wavelet transforms; Riesz base; biorthogonal two-direction wavelet packet; integer dilation factor; matrix theory; operator theory; time-frequency analysis; Equations; Fourier transforms; Information technology; Mathematics; Matrix decomposition; Multiresolution analysis; Physics; Time frequency analysis; Wavelet analysis; Wavelet packets; Riesz bases; Univariate; biorthogonal; multiresolution analysis; vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on

Conference_Location

Nanchang

Print_ISBN

978-0-7695-3859-4

Type

conf

DOI

10.1109/IITA.2009.229

Filename

5370190