| 正交对称复合伸缩小波紧框架的构造 |
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| 引用本文： | 冯岩,薛瑞,周世璇.正交对称复合伸缩小波紧框架的构造[J].信阳师范学院学报(自然科学版),2015(3):317-321. |
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| 作者姓名： | 冯岩 薛瑞 周世璇 |
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| 作者单位： | 1. 信阳师范学院计算机与信息技术学院,河南信阳,464000
2. 对外经济贸易大学金融学院,北京,100029 |
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| 基金项目： | 国家自然科学基金项目(11071152)；河南省基础与前沿技术研究计划项目(142300410351，142300410426，142300410393)；河南省教育厅科学技术研究重点项目 |
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| 摘 要： | <正>交对称小波框架在多通道通信系统中有着重要应用,复合伸缩因子小波能更有效地捕捉高维信号的线状奇异性.由已知的复合伸缩小波正交基或紧框架,给出一个构造正交对称的复合伸缩小波紧框架的简单方法.最后,给出两个构造算例.
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| 关 键 词： | 复合伸缩小波 对称性 正交性 紧框架 |
Construction of Orthogonally Symmetric Wavelet Tight Frames with Composite Dilations |
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| Feng Yan
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Xue Rui
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Zhou Shixuan.Construction of Orthogonally Symmetric Wavelet Tight Frames with Composite Dilations[J].Journal of Xinyang Teachers College(Natural Science Edition),2015(3):317-321. |
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| Authors: | Feng Yan Xue Rui Zhou Shixuan |
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| Institution: | ,College of Computer and Information Technology,Xinyang Normal University,School of Finance,University of Internatinal Business and Economics |
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| Abstract: | Orthogonal wavelet frames with symmetry plays an important role in multiple access communication systems,wavelets with composite dilations may capture the curve-like singularity efficiently of multidimensional data. Orthogonally symmetric wavelet tight frames with composite dilations were constructed from given composite dilation wavelets orthogonal bases or tight frames. Two examples were provided to illustrate the method. |
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| Keywords: | composite dilation wavelets symmetry orthogonality tight frames |
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