Existence and characterization of affine bivariate pseudoframes with filter banks

Author

Li Jing-Jie

Author_Institution

Sch. of Math. & Inf. Sci., Xinyang Normal Univ., Xinyang, China

Volume

5

fYear

2010

fDate

26-28 Feb. 2010

Firstpage

616

Lastpage

620

Abstract

The advantages of frames and their promising features in various application have attracted a lot of interest and effort in recent years. In this work, the notion of affine bivariate pseudoframes is developed. The notion of a bivariate generalized multiresolution structure (BGMRS) is proposed. A new method for constructing one BGMRA of Paley-Wiener subspaces of space L² (R²) is established. The sufficient condition for the existence of affine bivariate pseudoframes with filter banks is provided by means of a generalized multiresolution structure. Finally, we introduce the notion of the pyramid decomposition scheme.

Keywords

affine transforms; Paley-Wiener subspaces; affine bivariate pseudoframes; bivariate generalized multiresolution structure; filter banks; integer grid translation; pyramid decomposition scheme; Filter bank; Fourier transforms; Frequency estimation; Hilbert space; Information science; Mathematics; Power harmonic filters; Power system harmonics; Signal analysis; Signal resolution; filter banks; frames; integer grid translation; multi-scalefactor; pseudoframes; pyramid decomposition scheme;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-5585-0

Electronic_ISBN

978-1-4244-5586-7

Type

conf

DOI

10.1109/ICCAE.2010.5451304

Filename

5451304