| 对称-反对称复合伸缩多小波的构造 |
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| 引用本文： | 吴国昌,田新现,李登峰. 对称-反对称复合伸缩多小波的构造[J]. 数学学报, 2011, 0(5) |
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| 作者姓名： | 吴国昌 田新现 李登峰 |
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| 作者单位： | 河南财经政法大学数学与信息科学系;平顶山教育学院数学与信息科学系;河南大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(61071189); 河南省创新性科技人才队伍建设工程(084100510012); 省教育厅自然科学基金(2010A110002) |
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| 摘 要： | 基于已知的复合伸缩小波,本文给出一个构造对称反对称复合伸缩多小波的简单方法.这个方法可增加复合伸缩小波的数量,而且构造的多小波保持了原来小波的大部分性质.
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| 关 键 词： | 复合伸缩多小波 对称性 Parseval框架 |
The Construction of Symmetric or Antisymmetric Multiwavelets with Composite Dilations |
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| Guo Chang WU. The Construction of Symmetric or Antisymmetric Multiwavelets with Composite Dilations[J]. Acta Mathematica Sinica, 2011, 0(5) |
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| Authors: | Guo Chang WU |
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| Affiliation: | Guo Chang WU Department of Mathematics and Inforrriation Science,He'nan University of Economics and Law,Zhengzhou 450002,P.R.China Xin Xian TIAN Department of Mathematics and Information Science,Pingdingshan Education College,Pingdingshan 467001,P.R.China Deng Feng LI School of Mathematics and Information Sciences,He 'nan University,Kaifeng 475001,P.R.China |
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| Abstract: | Based on existing wavelets with composite dilations,we give a way of constructing symmetric or antisymmetric multiwavelets with composite dilations.This way can increase the amount of wavelets with composite dilations.Furthermore,new multiwavelets preserve the most properties of old wavelets. |
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| Keywords: | multiwavelet with composite dilations symmetric property parseval frame |
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