Existence and Property of Subspace Pseudoframes Associated with a Generalized Multiresolution Analysis

Author

Guo, Mingpu ; Wang, Yuying

Author_Institution

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

fYear

2009

fDate

13-14 Dec. 2009

Firstpage

537

Lastpage

540

Abstract

The frame theory has been one of powerful tools for researching into wavelets. In the article, the notion of affine bivariate pseudoframes is introduced. The concept of a bivariate generalized multiresolution analysis is developed. A novel approach for constructing one GMRA of Paley-Wiener subspaces of L²(R²) is presented. The sufficient condition for the existence of a class of pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution analysis.

Keywords

filtering theory; signal resolution; wavelet transforms; Paley-Wiener subspaces; affine bivariate pseudoframes; bivariate generalized multiresolution analysis; filter banks; frame theory; subspace pseudoframes; sufficient condition; Conference management; Engineering management; Filter bank; Hilbert space; Information management; Information technology; Multiresolution analysis; Power engineering and energy; Signal resolution; Technology management; affine frames; bivariate; filter banks; generalized multiresolution analysis; pseudoframes;

fLanguage

English

Publisher

ieee

Conference_Titel

Future Information Technology and Management Engineering, 2009. FITME '09. Second International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-5339-9

Type

conf

DOI

10.1109/FITME.2009.139

Filename

5381045