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利用DGHM多小波滤波器构造α带多小波

袁春梅 杨波 付作娴 孙福刚

哈尔滨商业大学学报(自然科学版)2011,Vol.27Issue(3):334-338,5.
哈尔滨商业大学学报(自然科学版)2011,Vol.27Issue(3):334-338,5.

利用DGHM多小波滤波器构造α带多小波

Construction of α-band multi-wavelet by using DGHM multi-wavelet filter

袁春梅 1杨波 1付作娴 2孙福刚1

作者信息

  • 1. 哈尔滨理工大学应用科学学院,哈尔滨150080
  • 2. 阜阳师范学院数学系,安徽阜阳236041
  • 折叠

摘要

Abstract

Using DGHM multi-wavelet filter, this paper obtained a new matrix (-CQF) by a method that increase its length towith supplementing the zero-matrix. A novel transformation of matrix filter was introduced. In comparison with the traditional methods, the order of some polynomial ma-trices need not be decreased row by row and the polyphase matrix need not be factorized into a special form. Furthermore, this method was not restricted by the length of the filter. Therefore, an algorithm was presented in this paper for constructing-band orthogonal multiwavelets from the as-sociated multi-scaling function.

关键词

共轭正交滤波器;酉变换;多小波;紧支撑

Key words

conjugate quadrature filter/ unitary transform/ multi-wavelet/ compactly supported

分类

数理科学

引用本文复制引用

袁春梅,杨波,付作娴,孙福刚..利用DGHM多小波滤波器构造α带多小波[J].哈尔滨商业大学学报(自然科学版),2011,27(3):334-338,5.

基金项目

黑龙江省自然科学基金(A200902);哈尔滨理工大学校青年基金(2009YF034) (A200902)

哈尔滨商业大学学报(自然科学版)

OACSTPCD

1672-0946

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