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含参数4-进双对称小波的构造
引用本文:邹庆云,王国秋,王真伟. 含参数4-进双对称小波的构造[J]. 计算机工程与应用, 2011, 47(3): 129-131. DOI: 10.3778/j.issn.1002-8331.2011.03.039
作者姓名:邹庆云  王国秋  王真伟
作者单位:1.湖南文理学院 数学与计算科学学院,湖南 常德 415000 2.湖南师范大学 数学与计算机科学学院,长沙 410081
基金项目:国家自然科学基金,湖南省教育厅资助项目,湖南文理学院教改资助项目
摘    要:给出了一类具有滤波器对称和图像对称的4-进双正交小波的构造,该小波可以由它的低通滤波器确定,因此,其自由度能够运用到应用背景。构造具有较高消失矩的对称双正交多小波族,研究了变换矩阵的性质,为应用提供了大量选择。

关 键 词:4-进小波  双正交小波  正交性  图像压缩  
收稿时间:2009-05-08
修稿时间:2009-8-3 

Construction of 4-bank bi-symmetric wavelets bases with parameters
ZOU Qingyun,WANG Guoqiu,WANG Zhenwei. Construction of 4-bank bi-symmetric wavelets bases with parameters[J]. Computer Engineering and Applications, 2011, 47(3): 129-131. DOI: 10.3778/j.issn.1002-8331.2011.03.039
Authors:ZOU Qingyun  WANG Guoqiu  WANG Zhenwei
Affiliation:1.School of Mathematics and Computing Science,Hunan University of Arts and Science,Changde,Hunan 415000,China 2.School of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China
Abstract:In Empirical Mode Decomposition(EMD),to suppress the ending effect,extending the data near the two end points is used by mathematics fitting usually.In practice,extending the sampling-time can also extend the end points and suppress the ending effect.Comparison has been made among the data extending method between the mathematics fitting(the mirror extending method as example) and terminal intercept near the two end points.To test the effect of EMD,the correlation coefficient between the practical results and ideal results are calculated.As a result of simulation and numerical experiment(periodic harmonic function as example),it is shown that if the signal intercept around half the length of data signals,better results can be obtained than endpoint extending.More the interception of points approximates more ending effect can be effectively restrained.
Keywords:4-bank wavelets  biorthonormal wavelets  orthogonality  image compression
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