The recovery of complex sparse signals from few phaseless measurements | |
Xia, Yu1; Xu, Zhiqiang2,3 | |
刊名 | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS |
2021 | |
卷号 | 50页码:1-15 |
ISSN号 | 1063-5203 |
DOI | 10.1016/j.acha.2020.08.001 |
英文摘要 | 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. |
资助项目 | NSFC[11688101] ; NSFC[11901143] ; Zhejiang Provincial Natural Science Foundation[LQ19A010008] ; Department of Education of Zhejiang ProvinceScience Foundation[Y201840082] ; Beijing Natural Science Foundation[Z180002] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000579922900001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52355] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Xia, Yu |
作者单位 | 1.Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math, LSEC, Beijing 100091, Peoples R China |
推荐引用方式 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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