Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps-Reference-Cited by-同舟云学术

Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps

Published:2011-03 Issue: Volume:219-220 Page:504-507
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Zhao Jian Tang¹,Guo Hong Lin²

Affiliation:

1. Xianyang Normal University

2. Henan Polytechnic Institute

Abstract

In this paper, the notion of biorthogonal two-directional shortly supported wavelets with poly-scale is developed. A new method for designing two-directional biorthogonal wavelets is proposed. The existence of shortly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A novel constructive method for designing a sort of biorthogonal vector-valued wavelet wraps is presented and their biorthogonality traits are characerized. Two biorthogonality formulas regarding these wavelet wraps are established.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.219-220.504.pdf

Reference8 articles.

1. Yang S. and Cheng Z, Wang H. Construction of biorthogonal multiwavelets,, J. Math. Anal. Appl., Vol. 276, No. 1, pp.1-12, (2002).

2. H. He and S. Cheng. Home network power-line communiction signal processing based on wavelet packet analysis, . IEEE Trans. Power Delivery, 20 (3) : pp.1879-1885 , (2005).

3. Kaneko H., Noren D. R. and Novaprateep B. Wavelet applications to the Petrov-Galerkin method for Hammrstein equations,, J. Appl. Numer. Math., Vol. 45, No. 2, pp.255-273, (2003).

4. Chen Q. and Cheng Z. A study on compactly supported orthogonal vector-valued wavelets and wavlet packets,. Chaos, Solitons & Fractals, Vol. 31, No. 4, pp.1024-1034, (2007).

5. Fowler J. E. and Li H . Wavelet Transforms for Vector Fields Using Omnidirectionally Balanced Multiwavelets,, IEEE Trans. Signal Processing, Vol. 50, No. 10, pp.3018-3027, (2002).