[1]汪艳丽,吐尔洪江·阿布都克力木,陆艳飞. 高阶消失矩的二进小波滤波器的构造方法[J].计算机技术与发展,2015,25(08):142-146.
　WANG Yan-li,TURGHUNJAN Abdukirim,Turki LU Yan-fei. Constructed Method of Dyadic Wavelet Filter of Higher-order Vanishing Moments[J].,2015,25(08):142-146.
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 高阶消失矩的二进小波滤波器的构造方法()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
25
期数:
2015年08期
页码:
142-146
栏目:
智能、算法、系统工程
出版日期:
2015-08-10

文章信息/Info

Title:
 Constructed Method of Dyadic Wavelet Filter of Higher-order Vanishing Moments
文章编号:
1673-629X（2015)08-0142-05
作者:
 汪艳丽; 吐尔洪江·阿布都克力木; 陆艳飞
 新疆师范大学 数学科学学院
Author(s):
 WANG Yan-li; TURGHUNJAN Abdukirim; Turki LU Yan-fei
关键词:
 ; 消失矩; 二进提升格式; 对偶二进提升格式; 提升二进小波滤波器
Keywords:
 ; vanishing moments; dyadic lifting scheme; dual dyadic lifting scheme; ascension binary wavelet filter
分类号:
TP301.6
文献标志码:
A
摘要:
 文中在二进提升格式的基础上,结合消失矩的条件和小波的相关理论,推导出一种构造新的具有高阶消失矩的二进小波滤波器的方法。首先,对Mallat提出的B-样条二进小波进行拓展,推导出构造新的B-样条二进小波滤波器方法；然后,在二进提升格式的基础上,以r =1,m =2的B-样条二进小波滤波器作为初始二进小波滤波器,经过多次提升和大量计算,构造出新的具有7阶消失矩的二进小波滤波器；最后,再以对偶二进提升格式为基础,选择合适的自由参数,对初始二进小波重构高通滤波器进行三次提升,推导出具有紧支集、线性相位、7阶消失矩的对偶提升二进小波滤波器。
Abstract:
 Based on the dyadic lifting scheme,combined with the condition of vanishing moments and related wavelet theory,deduce a new two constructor method has higher-order moments vanish into the wavelet filter. First,B-spline dyadic wavelet proposed by Mallat is expanded into new methods to derive two wavelet filter structure B-spline. Then,based on binary format,with r = 1,m = 2 B-spline dyadic wavelet filter as the initial dyadic wavelet filter,after repeated lifting and a lot of calculations,construct a new binary wavelet filter with 7 vanishing moments. Finally,based on the dual binary format ascension,select the appropriate freedom parameters for the three lift-ing to initial dyadic wavelet reconstruction high-pass filter,deducing lifting dyadic wavelet filters with compact support,linear phase,dual lifting 7-order vanishing moments.

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更新日期/Last Update: 2015-09-14