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.
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)
关键词
多小波
正交性
对称-反对称
重数
muhiwavelets
orthogonal
symmetric-antisymmetric
muhiplicity
