The l(1)-Analysis in Phase Retrieval with Redundant Dictionary
文献类型：期刊论文
| 作者 | Gao, Bing |
| 刊名 | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2017-10-01 |
| 卷号 | 23期号:5页码:1097-1117 |
| ISSN号 | 1069-5869 |
| 关键词 | Compressed sensing Phase retrieval Sparse recovery l(1)-analysis |
| DOI | 10.1007/s00041-016-9500-z |
| 英文摘要 | This article presents new results concerning the recovery of a signal from the magnitude only measurements where the signal is not sparse in an orthonormal basis but in a redundant dictionary, which we call it phase retrieval with redundant dictionary for short. To solve this phaseless problem, we analyze the -analysis model. Firstly we investigate the noiseless case with presenting a null space property of the measurement matrix under which the -analysis model provides an exact recovery. Secondly we introduce a new property (S-DRIP) of the measurement matrix. By solving the -analysis model, we prove that this property can guarantee a stable recovery of real signals that are nearly sparse in overcomplete dictionaries. |
| 语种 | 英语 |
| 出版者 | SPRINGER BIRKHAUSER |
| WOS记录号 | WOS:000411937600005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26723]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, Bing |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100091, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, Bing. The l(1)-Analysis in Phase Retrieval with Redundant Dictionary[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,2017,23(5):1097-1117. |
| APA | Gao, Bing.(2017).The l(1)-Analysis in Phase Retrieval with Redundant Dictionary.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,23(5),1097-1117. |
| MLA | Gao, Bing."The l(1)-Analysis in Phase Retrieval with Redundant Dictionary".JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23.5(2017):1097-1117. |
入库方式： OAI收割
来源：数学与系统科学研究院
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