四重正交对称多小波的设计  

Design of the Symmetric--Orthogonal Multiwavelets with Multiplicity 4

作　　者：吕卫平[1] 马奕[1] 

机构地区：[1]龙岩学院,福建龙岩364000

出　　处：《龙岩学院学报》2015年第2期8-12,共5页Journal of Longyan University

基　　金：福建省教育厅B类项目(JB12212);龙岩学院校级第三批教改项目(2014JY30)

摘　　要：探讨一类重数为4的正交对称多小波的设计,对于任意长度为2N的对称-反对称正交多小波,运用所给的构造算法可得到长度为(2N+1)的对称-反对称正交多小波,反之亦然。Wavelet analysis is a kind of time-frequency analysis method, which, in both time and frequency domain, has the ability of denoting local signal characteristics, and as a result, has the irreplaceable role in processing the non-stationary signal. In order to better solve practical problems encountered in many fields, the construction of the excellent properties multiwavelets is important. This paper discusses the design of symmetric--orthogonal multiwavelets with multiplicity 4. For any given symmetric- antisymmetric orthogonal multiwavelets with length-2N, a symmetric-antisymmetric orthogonal multiwavelet with length-（ 2N ＋ 1 ） can be constructed by using the algorithm given in this paper and vice verse.

关 键 词：多小波 正交性 对称-反对称 重数 

分 类 号：O174.2[理学—数学]