The nice characters of a sort of two-directional multiscale bivariate wavelet packs with finite support

Author

Zhang, Fengling ; Zhao, Junping

Author_Institution

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

Volume

2

fYear

2010

fDate

17-18 July 2010

Firstpage

56

Lastpage

59

Abstract

Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two- direct- -ion finitely supported wavelet packs with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet packs is developed and their properties is investi- -gated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Finally, two Riesz bases of space L²(R²) are drawn from these wavelet packs. The biorthogonal finitely supported uni-wavelet packs was generalized to two-directional biorthogonal wavelet packs.

Keywords

matrix algebra; signal processing; time-frequency analysis; wavelet transforms; biorthogonal direction finitely supported wavelet pack; matrix theory; operator theory; signal processing; time frequency analysis method; Construction industry; Equations; Fourier transforms; Multiresolution analysis; Wavelet packets; biorthogonal vector wavelets; finite support; multiresolution analysis; two-directional; wavelet packs;

fLanguage

English

Publisher

ieee

Conference_Titel

Environmental Science and Information Application Technology (ESIAT), 2010 International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-7387-8

Type

conf

DOI

10.1109/ESIAT.2010.5567273

Filename

5567273