The Properties of a Class of Two-Direction Compactly Supported Wavelet Packets with a Positive Integer Dilation Factor

Author

Wang, Xiaofeng ; Zhou, Mei

Author_Institution

Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China

Volume

2

fYear

2009

fDate

7-8 Nov. 2009

Firstpage

218

Lastpage

222

Abstract

In this article, the notion of biorthogonal two-directional compactly supported wavelet packets with a positive integer dilation factor is introduced. A new approach for constructing biorthogonal two-directional 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 derived.

Keywords

matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal two-directional compactly supported wavelet packets; matrix theory; operator theory; positive integer dilation factor; time-frequency analysis; two-direction compactly supported wavelet packets; Artificial intelligence; Computational intelligence; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Physics; Variable speed drives; Wavelet analysis; Wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-3835-8

Electronic_ISBN

978-0-7695-3816-7

Type

conf

DOI

10.1109/AICI.2009.299

Filename

5375968