您的位置:首页  > 论文页面

多进制Haar小波滤波器的一种初等推导方法

发表时间:2009-01-15  浏览量:2020  下载量:859
全部作者: 张琨,张炜,崔丽
作者单位: 北京师范大学数学科学学院
摘 要: 多进制Haar小波是最基本的多进制小波函数之一,而小波函数滤波器是构造小波函数的基础。本文由多分辨分析出发,根据对称或反对称正交小波函数的充分必要条件,提出系数对称性的定义来凑配滤波器的系数,最后推导出了多进制Haar小波函数的滤波器。这种方法是初等的,简捷直观,并且得到一些具有普遍性的结果。此方法对滤波器构造的随意性大,可根据不同要求构造。因此,这种方法可以推广到构造其他类似小波函数的滤波器。
关 键 词: 基础数学;多进制Haar小波滤波器;初等方法;多分辨分析
Title: An elementary deriving method of M-mand Haar wavelet filter
Author: ZHANG Kun, ZHANG Wei, CUI Li
Organization: School of Mathematical Sciences, Beijing Normal University
Abstract: M-mand Haar wavelet is one of the most basic M-mand wavelets, and wavelet filter is the basis of wavelet’s construction. Based on multiresolution analysis and the necessary and sufficient condition of symmetric and antisymmetric orthogonal wavelets, this paper defines coefficient symmetry to construct the coefficient of filter, and then derives the M-mand Haar wavelet filter. This elementary method is simple and intuitive, and some universal results are gained. This method can be used to construct wavelet filter according to the different requirements, so it can be expanded to construct some other similar wavelet filters.
Key words: basic mathematics; M-mand Haar wavelet filter; elementary method; multiresolution analysis
发表期数: 2009年1月第1期
引用格式: 张琨,张炜,崔丽. 多进制Haar小波滤波器的一种初等推导方法[J]. 中国科技论文在线精品论文,2009,2(1):40-47.
 
0 评论数 0
暂无评论
友情链接