KMS Of Academy of mathematics and systems sciences, CAS
| The recovery of complex sparse signals from few phaseless measurements | |
| Xia, Yu1; Xu, Zhiqiang2,3 | |
| 2021 | |
| Source Publication | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
 |
| ISSN | 1063-5203 |
| Volume | 50Pages:1-15 |
| Abstract | We study the stable recovery of complex k-sparse signals from as few phaseless measurements as possible. The main result is to show that one can employ Li minimization to stably recover complex k-sparse signals from m >= O(k log(n/k)) complex Gaussian random quadratic measurements with high probability. To do that, we establish that Gaussian random measurements satisfy the restricted isometry property over rank-2 and sparse matrices with high probability. This paper presents the first theoretical estimation of the measurement number for stably recovering complex sparse signals from complex Gaussian quadratic measurements. (C) 2020 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.acha.2020.08.001 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11688101] ; NSFC[11901143] ; Zhejiang Provincial Natural Science Foundation[LQ19A010008] ; Department of Education of Zhejiang ProvinceScience Foundation[Y201840082] ; Beijing Natural Science Foundation[Z180002] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000579922900001 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52356 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xia, Yu |
| Affiliation | 1.Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math, LSEC, Beijing 100091, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Xia, Yu,Xu, Zhiqiang. The recovery of complex sparse signals from few phaseless measurements[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,2021,50:1-15. |
| APA | Xia, Yu,&Xu, Zhiqiang.(2021).The recovery of complex sparse signals from few phaseless measurements.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,50,1-15. |
| MLA | Xia, Yu,et al."The recovery of complex sparse signals from few phaseless measurements".APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 50(2021):1-15. |
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