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Shen, MT; Zhang, P; Zhou, HJ
Compressed Sensing by Shortest-Solution Guided Decimation
发表期刊IEEE ACCESS
语种英语
关键词ORTHOGONAL LEAST-SQUARES SIGNAL RECONSTRUCTION SPARSE REPRESENTATION RECOVERY PURSUIT DECOMPOSITION DICTIONARIES ALGORITHMS
摘要Compressed sensing is an important problem in many fields of science and engineering. It reconstructs signals by finding sparse solutions to underdetermined linear equations. In this paper, we propose a deterministic and non-parametric algorithm, shortest-solution guided decimation (SSD), to construct support of the sparse solution under the guidance of the dense least-squares solution of the recursively decimated linear equation. The most significant feature of SSD is its insensitivity to correlations in the sampling matrix. Using extensive numerical experiments, we show that SSD greatly outperforms l(1)-norm based methods, orthogonal least squares, orthogonal matching pursuit, and approximate message passing when the sampling matrix contains strong correlations. This nice property of correlation tolerance makes SSD a versatile and robust tool for different types of real-world signal acquisition tasks.
2018
ISSN2169-3536
卷号6页码:5564-5572
合作性质国内
学科领域Computer Science ; Engineering ; Telecommunications
学科门类Computer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications
DOI10.1109/ACCESS.2018.2794522
收录类别SCI
项目资助者National Natural Science Foundation of China [11421063, 11647601] ; National Natural Science Foundation of China [11421063, 11647601] ; Chinese Academy of Sciences [QYZDJ-SSW-SYS018] ; Chinese Academy of Sciences [QYZDJ-SSW-SYS018]
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22730
专题计算平台成果
作者单位1.Univ Sci & Technol China, Sch Gifted Young, Hefei 230026, Anhui, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
4.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China
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Shen, MT,Zhang, P,Zhou, HJ. Compressed Sensing by Shortest-Solution Guided Decimation[J]. IEEE ACCESS,2018,6:5564-5572.
APA Shen, MT,Zhang, P,&Zhou, HJ.(2018).Compressed Sensing by Shortest-Solution Guided Decimation.IEEE ACCESS,6,5564-5572.
MLA Shen, MT,et al."Compressed Sensing by Shortest-Solution Guided Decimation".IEEE ACCESS 6(2018):5564-5572.
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