双正交多子波包理论

上海大学学报(自然科学版)

双正交多子波包理论

陈俊丽,卢恩博，曹文佳

上海大学通信与信息工程学院，上海 200072

收稿日期:2005-09-21 修回日期:1900-01-01 出版日期:1900-01-01 发布日期:1900-01-01
通讯作者: 陈俊丽

Biorthogonal Multiwavelet Packet Theory

CHEN Jun-li,LU En-bo,CAO Wen-jia

School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China

Received:2005-09-21 Revised:1900-01-01 Online:1900-01-01 Published:1900-01-01
Contact: CHEN Jun-li

摘要/Abstract

摘要：

多子波与单子波相比，可同时拥有正交性、紧支撑、对称性和高的逼近阶等特性，成为子波研究的一个新热点.为了使多子波对信号分解具有更广泛的适应性，将双正交多子波基扩展到多子波包，建立了双正交多子波包的理论框架，并把有关单子波包的定义、概念和性质推广到双正交多子波包，给出相应的证明，这将为双正交多子波的全频带快速分解和实现奠定理论基础.

关键词: 单子波, 多子波, 双正交多子波包

Abstract:

Multiwavelet can simultaneously posses many desired properties such as short support, orthogonality, symmetry and high vanishing moments, which a single wavelet cannot posses. Multiwavelet has increasingly attracted attention in the research community. The goal of this paper is to generalize the notions and properties of wavelet packet to produce biorthogonal multiwavelet packet, and to develop the theoretical framework of biorthogonal multiwavelet packet, which makes more kinds of signals for analysis with multiwavelet. A proof is given.

Key words: biorthogonal multiwavelet packet, multiwavelet, single wavelet

中图分类号:

O 174.2

陈俊丽;卢恩博;曹文佳. 双正交多子波包理论[J]. 上海大学学报(自然科学版).

CHEN Jun-li;LU En-bo;CAO Wen-jia. Biorthogonal Multiwavelet Packet Theory[J]. Journal of Shanghai University（Natural Science Edition）.