Investigation into Characteristics of Biorthogonal Finitely Supported Nonseparable Ternary Wavelet Wraps

Author

Pei, Qiuyu ; Guo, Honglin

Author_Institution

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

fYear

2011

fDate

17-18 July 2011

Firstpage

1

Lastpage

4

Abstract

Wavelet analysis, as a very active mathematical branch of the nonlinear science, has drawn many attentions since it appeared. In this paper, the notion of biorthogonal non-separable trivariate wavelet wraps, which is the generalization of biorthogonal univariate wavelet wraps, is introduced. A new procedure for constructing them is presented. Their biorthogonality quality is characterized by the filter function theory and time-frequency analysis. Three orthogonality formulas concerning these wavelet wraps are established. Finally, we provide the pyramid decomposition scheme.

Keywords

time-frequency analysis; wavelet transforms; biorthogonal finitely supported nonseparable ternary wavelet wraps; biorthogonal univariate wavelet wraps; filter function theory; nonlinear science; pyramid decomposition scheme; time-frequency analysis; wavelet analysis; Fourier transforms; Fractals; Multiresolution analysis; Time frequency analysis; Wavelet packets;

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.2011.5990166

Filename

5990166