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高阶消失矩的二进小波滤波器的构造方法

汪艳丽 吐尔洪江·阿布都克力木 陆艳飞

计算机技术与发展Issue(8):142-146,5.
计算机技术与发展Issue(8):142-146,5.DOI:10.3969/j.issn.1673-629X.2015.08.030

高阶消失矩的二进小波滤波器的构造方法

Constructed Method of Dyadic Wavelet Filter of Higher-order Vanishing Moments

汪艳丽 1吐尔洪江·阿布都克力木 1陆艳飞1

作者信息

  • 1. 新疆师范大学 数学科学学院,新疆 乌鲁木齐 830054
  • 折叠

摘要

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.

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

Key words

vanishing moments/dyadic lifting scheme/dual dyadic lifting scheme/ascension binary wavelet filter

分类

信息技术与安全科学

引用本文复制引用

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,(8):142-146,5.

基金项目

国家自然科学基金资助项目(11261061,61362039,10661010) (11261061,61362039,10661010)

新疆维吾尔自治区自然科学基金资助项目(200721104) (200721104)

计算机技术与发展

OACSTPCD

1673-629X

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