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Shen, MT; Zhang, P; Zhou, HJ
Compressed Sensing by Shortest-Solution Guided Decimation
Source PublicationIEEE ACCESS
AbstractCompressed 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.
Cooperation Status国内
Subject AreaComputer Science ; Engineering ; Telecommunications
MOST Discipline CatalogueComputer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications
Indexed BySCI
Funding OrganizationNational 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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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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
Recommended Citation
GB/T 7714
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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