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多小波变换及统计特性分析
引用本文:郑武,胡锃,张容.多小波变换及统计特性分析[J].大连民族学院学报,2009,11(1).
作者姓名:郑武  胡锃  张容
作者单位:武汉科技大学,计算机科学与技术学院,湖北,武汉,430081
摘    要:分析和讨论了多小波滤波器变换方法及其变换域的统计分布.变换分析表明,预滤波及平衡矩阵滤波器组在进行水平及垂直方向分解时,能够将低频与高频信号变换到对应的低、高频子带内,而普通矩阵滤波器组却不能,不适合用于信号压缩的场合;统计结果显示,对光滑性较好的Lenna图像,无论是对高频子带还是次高频子带,Bi9/7小波具有最佳的分布,但对纹理较多的复杂图像Barbara,多小波变换则有较优的统计分布.

关 键 词:多小波变换  统计特性  标量小波

Analysis of Multiwavelet Transform and Statistics Characteristics
ZHENG Wu,HU Zeng,ZHANG Rong.Analysis of Multiwavelet Transform and Statistics Characteristics[J].Journal of Dalian Nationalities University,2009,11(1).
Authors:ZHENG Wu  HU Zeng  ZHANG Rong
Institution:ZHENG Wu,HU Zeng,ZHANG Rong(College of Computer Science & Technology,Wuhan University of Science & Technology,Wuhan Hubei 430081,China)
Abstract:This paper analyzes and discusses two problems: transform method of multiwavlet filter and its statistical distribution.Transform analysis indicates that matrix filter bank with prefiltering or balancing can transform low frequency,high frequency signals in time domain into corresponding low frequency,high frequency subband in frequency domain,respectively.Common matrix filter bank cannot obtain the same conclusion and are not applicable to signal compression.Statistics analysis shows that for smooth image ...
Keywords:multiwavelet transform  statistics characteristics  scalar wavelet  
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