| 具有对称或反对称滤波器组的正交平衡多小波 |
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| 引用本文： | 王国秋,郑果.具有对称或反对称滤波器组的正交平衡多小波[J].华中科技大学学报(自然科学版),2007,35(2):61-63. |
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| 作者姓名： | 王国秋 郑果 |
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| 作者单位： | 1. 湖南师范大学,数学与计算机科学学院,湖南,长沙,410081
2. 湖南第一师范学校,湖南,长沙,410002 |
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| 摘 要： | 通过对特定矩阵滤波器组的定义,构造了一类具有期望的对称性、平衡性和高阶消失矩的正交多小波.所得到的多小波尽管其函数本身不具有线性相位,但它的滤波器组具有利于实际应用的对称性,其结构类似于标量小波,即可由一支滤波器就可以确定,所构造的多小波无疑是一类新型多小波.
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| 关 键 词： | 滤波器组 多小波 对称性 正交性 反对称 滤波器组 正交多小波 平衡多小波 filter banks antisymmetric multiwavelet orthonormal 标量小波 结构类 应用 线性相位 函数 高阶消失矩 平衡性 对称性 期望 构造 矩阵 |
| 文章编号： | 1671-4512（2007）02-0061-03 |
| 收稿时间： | 2005-12-29 |
| 修稿时间： | 2005年12月29 |
Balanced orthonormal multiwavelet with symmetric or antisymmetric filter banks |
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| Wang Guoqiu,Zheng Guo.Balanced orthonormal multiwavelet with symmetric or antisymmetric filter banks[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(2):61-63. |
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| Authors: | Wang Guoqiu Zheng Guo |
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| Abstract: | A class of the balanced orthonormal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifilter banks of multiwavelets have had the desired symmetry. Here,the multifilter banks have possess symmetric or anti-symmetric, which resembled filters of scalar wavelet and have in favor of application, notwithstanding the multiwavelets constructed in this paper have lost the linear phase, so they have formed a new type of multiwavelets undoubtedly. |
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| Keywords: | multifilter banks multiwavelet symmetric orthogonality |
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