Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames
This 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 δk+θk,k<1 guarantees the stable recovery of all signals that are nearly k-sparse in ter...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/4372080 |
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| _version_ | 1832561293849001984 |
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| author | Yao Wang Jianjun Wang |
| author_facet | Yao Wang Jianjun Wang |
| author_sort | Yao Wang |
| collection | DOAJ |
| description | This 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 δk+θk,k<1 guarantees the stable recovery of all signals that are nearly k-sparse in terms of a coherent tight frame D via the l1-analysis method, which improves the existing ones in the literature. |
| format | Article |
| id | doaj-art-848ba799ebb34f57b57f4db47991f040 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-848ba799ebb34f57b57f4db47991f0402025-02-03T01:25:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/43720804372080Improved RIP Conditions for Compressed Sensing with Coherent Tight FramesYao Wang0Jianjun Wang1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaThis 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 δk+θk,k<1 guarantees the stable recovery of all signals that are nearly k-sparse in terms of a coherent tight frame D via the l1-analysis method, which improves the existing ones in the literature.http://dx.doi.org/10.1155/2017/4372080 |
| spellingShingle | Yao Wang Jianjun Wang Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames Discrete Dynamics in Nature and Society |
| title | Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames |
| title_full | Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames |
| title_fullStr | Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames |
| title_full_unstemmed | Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames |
| title_short | Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames |
| title_sort | improved rip conditions for compressed sensing with coherent tight frames |
| url | http://dx.doi.org/10.1155/2017/4372080 |
| work_keys_str_mv | AT yaowang improvedripconditionsforcompressedsensingwithcoherenttightframes AT jianjunwang improvedripconditionsforcompressedsensingwithcoherenttightframes |