Perturbed Amplitude Flow for Phase Retrieval
文献类型：期刊论文
| 作者 | Gao, Bing5; Sun, Xinwei1; Wang, Yang2; Xu, Zhiqiang3,4 |
| 刊名 | IEEE TRANSACTIONS ON SIGNAL PROCESSING
 |
| 出版日期 | 2020 |
| 卷号 | 68页码:5427-5440 |
| 关键词 | Phase retrieval perturbed amplitude flow linear convergence |
| ISSN号 | 1053-587X |
| DOI | 10.1109/TSP.2020.3022817 |
| 英文摘要 | In this paper, we propose a new non-convex algorithm for solving the phase retrieval problem, i.e., the reconstruction of a signal x is an element of H-n (H = R or C) from phaseless samples b(j) = |< aj, x >|, j = 1,..., m. The proposed algorithm solves a new proposed model, perturbed amplitude-based model, for phase retrieval, and is correspondingly named as Perturbed Amplitude Flow (PAF). We prove that PAF can recover cx (vertical bar c vertical bar = 1) under O( n) Gaussian randommeasurements (optimal order of measurements). Starting with a designed initial point, our PAF algorithm iteratively converges to the true solution at a linear rate for both real, and complex signals. Besides, PAF algorithm needn't any truncation or re-weighted procedure, so it enjoys simplicity for implementation. The effectiveness, and benefit of the proposed method are validated by both the simulation studies, and the experiment of recovering natural images. |
| 资助项目 | NSFC[16306415] ; NSFC[16308518] ; Beijing Natural Science Foundation[91630203] ; Beijing Natural Science Foundation[11688101] ; [Z180002] |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000574739900013 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52275]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Zhiqiang |
| 作者单位 | 1.Microsoft Res Asia, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong 999077, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Comp Math, LSEC, Beijing 100091, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, Bing,Sun, Xinwei,Wang, Yang,et al. Perturbed Amplitude Flow for Phase Retrieval[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING,2020,68:5427-5440. |
| APA | Gao, Bing,Sun, Xinwei,Wang, Yang,&Xu, Zhiqiang.(2020).Perturbed Amplitude Flow for Phase Retrieval.IEEE TRANSACTIONS ON SIGNAL PROCESSING,68,5427-5440. |
| MLA | Gao, Bing,et al."Perturbed Amplitude Flow for Phase Retrieval".IEEE TRANSACTIONS ON SIGNAL PROCESSING 68(2020):5427-5440. |
入库方式： OAI收割
来源：数学与系统科学研究院
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