Existence and Characterization of Affine Binary Pseudoframes with a Binary Filter Functions

Author

Luo Ping

Author_Institution

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

fYear

2011

fDate

17-18 July 2011

Firstpage

1

Lastpage

4

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 paper, the notion of affine bivariate pseudo-frames is develop-ed. The notion of a bivariate generalized multiresolution structure (BGMRS) is proposed. A novel method for constructing one BGMRS 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 provide the notion of the pyramid decomposition scheme.

Keywords

Fourier transforms; Wiener filters; channel bank filters; signal resolution; BGMRS; Paley-Wiener subspace; affine binary pseudoframe; affine bivariate pseudoframe; binary filter function; bivariate generalized multiresolution structure; filter bank; pyramid decomposition scheme; Filter banks; Fourier transforms; Multiresolution analysis; Signal resolution; Sufficient conditions; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits, Communications and System (PACCS), 2011 Third Pacific-Asia Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4577-0855-8

Type

conf

DOI

10.1109/PACCS.2011.5990165

Filename

5990165