Restricted p-Isometry Properties of Partially Sparse Signal Recovery
By generalizing the restricted p-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial lp minimization (truncated lp minimization) problem with p∈(0,1]. Based on this, we establish a simpler su...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/692169 |
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| _version_ | 1832566703426371584 |
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| author | Haini Bi Lingchen Kong Naihua Xiu |
| author_facet | Haini Bi Lingchen Kong Naihua Xiu |
| author_sort | Haini Bi |
| collection | DOAJ |
| description | By generalizing the restricted p-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial lp minimization (truncated lp minimization) problem with p∈(0,1]. Based on this, we establish a simpler sufficient condition which can show how the p-RIP bounds vary corresponding to different ps. |
| format | Article |
| id | doaj-art-c3a2a21a230e4531b59c3451005f0067 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c3a2a21a230e4531b59c3451005f00672025-02-03T01:03:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/692169692169Restricted p-Isometry Properties of Partially Sparse Signal RecoveryHaini Bi0Lingchen Kong1Naihua Xiu2Department of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaBy generalizing the restricted p-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial lp minimization (truncated lp minimization) problem with p∈(0,1]. Based on this, we establish a simpler sufficient condition which can show how the p-RIP bounds vary corresponding to different ps.http://dx.doi.org/10.1155/2013/692169 |
| spellingShingle | Haini Bi Lingchen Kong Naihua Xiu Restricted p-Isometry Properties of Partially Sparse Signal Recovery Discrete Dynamics in Nature and Society |
| title | Restricted p-Isometry Properties of Partially Sparse Signal Recovery |
| title_full | Restricted p-Isometry Properties of Partially Sparse Signal Recovery |
| title_fullStr | Restricted p-Isometry Properties of Partially Sparse Signal Recovery |
| title_full_unstemmed | Restricted p-Isometry Properties of Partially Sparse Signal Recovery |
| title_short | Restricted p-Isometry Properties of Partially Sparse Signal Recovery |
| title_sort | restricted p isometry properties of partially sparse signal recovery |
| url | http://dx.doi.org/10.1155/2013/692169 |
| work_keys_str_mv | AT hainibi restrictedpisometrypropertiesofpartiallysparsesignalrecovery AT lingchenkong restrictedpisometrypropertiesofpartiallysparsesignalrecovery AT naihuaxiu restrictedpisometrypropertiesofpartiallysparsesignalrecovery |