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Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames
Wang Y(王尧); Wang HM(王化明)
Department机器人学研究室
Source PublicationDISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN1026-0226
2017
Volume2017Pages:1-8
Indexed BySCI
WOS IDWOS:000401360000001
Contribution Rank1
Funding OrganizationNatural Science Foundation of China [11501440, 61673015, 62173020]
AbstractThis paper establishes new sufficient conditions on the restricted isometry property (RIP) for compressed sensing with coherent tight frames. One of our main results shows that the RIP (adapted to D) condition delta(k) +theta(k,k) < 1 guarantees the stable recovery of all signals that are nearly k-sparse in terms of a coherent tight frame D via the l(1)-analysis method, which improves the existing ones in the literature.
Language英语
WOS HeadingsScience & Technology ; Physical Sciences
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS KeywordRESTRICTED ISOMETRY CONSTANTS ; SIGNAL RECOVERY ; SPARSE SIGNALS ; MINIMIZATION ; BOUNDS ; L(Q)-MINIMIZATION ; RECONSTRUCTION ; PROPERTY
WOS Research AreaMathematics ; Science & Technology - Other Topics
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/20498
Collection机器人学研究室
Corresponding AuthorWang HM(王化明)
Affiliation1.School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
2.Shenyang Institute of Automation, Chinese Academy of Science, Shenyang 10016, China
3.School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Recommended Citation
GB/T 7714
Wang Y,Wang HM. Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2017,2017:1-8.
APA Wang Y,&Wang HM.(2017).Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames.DISCRETE DYNAMICS IN NATURE AND SOCIETY,2017,1-8.
MLA Wang Y,et al."Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames".DISCRETE DYNAMICS IN NATURE AND SOCIETY 2017(2017):1-8.
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