| 基于树型冗余字典正交匹配追踪的信号稀疏分解 |
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| 引用本文： | 赵嵩,马荣华,薛朝改,李恒建.基于树型冗余字典正交匹配追踪的信号稀疏分解[J].扬州大学学报(自然科学版),2011(4). |
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| 作者姓名： | 赵嵩 马荣华 薛朝改 李恒建 |
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| 作者单位： | 郑州航空工业管理学院电子通信工程系;郑州铁路职业技术学院软件学院;郑州大学管理工程学院;山东省计算中心计算机网络重点实验室; |
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| 基金项目： | 国家自然科学基金资助项目(70971119); 河南省教育厅自然科学研究计划项目(2011A510024) |
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| 摘 要： | 结合树型结构和正交匹配追踪算法,提出一种信号稀疏分解的新方法.该方法的基本思想是在基于树型结构的匹配搜索过程中引入正交化过程,其中树型结构可以快速有效地实现稀疏分解,正交匹配追踪算法提高了信号分解的收敛速度和稀疏性.对语音和地震信号的测试实验结果表明,该算法能以较快的速度收敛到零.
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| 关 键 词： | 稀疏分解 正交匹配追踪 冗余字典 |
Sparse decomposition based on orthogonal matching pursuit with tree-structure redundant dictionary |
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| ZHAO Song,MA Rong-hua,XUE Chao-gai ,LI Heng-jian.Sparse decomposition based on orthogonal matching pursuit with tree-structure redundant dictionary[J].Journal of Yangzhou University(Natural Science Edition),2011(4). |
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| Authors: | ZHAO Song MA Rong-hua XUE Chao-gai LI Heng-jian |
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| Institution: | ZHAO Song1*,MA Rong-hua2,XUE Chao-gai 3,LI Heng-jian 4 (1.Dept of Electron & Commun Engin,Zhengzhou Inst of Aeronaut Ind Manage,Zhengzhou 450015,China,2.Sch of Software,Zhengzhou Railw Vocat & Tech Coll,Zhengzhou 450052,3.Sch of Manage Engin,Zhengzhou Univ,Zhengzhou 450001,4.Key Lab of Comput Network,Shandong Comput Sci Cent,Jinan 250014,China) |
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| Abstract: | Tree based orthogonal matching pursuit is proposed to overcome the convergence of sparse decomposition.Sparse decomposition can be fast solved by tree based pursuit,however,the tree based pursuit is locally best in essence.This paper proposes the orthogonal matching pursuit algorithm that maintains full backward orthogonality of the residual(error) at every step and thereby leads to improved convergence.Also,it guarantees the sparsity of results and accuracy of reconstructed image.Speech signal and earthqua... |
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| Keywords: | sparse decomposition orthogonal matching pursuit redundant dictionary |
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