Phase Retrieval via the Alternating Direction Method of Multipliers

被引：35
|
作者：
Liang, Junli [1 ]
Stoica, Petre [2 ]
Jing, Yang [1 ]
Li, Jian [3 ,4 ]
机构：
[1] Northwestern Polytech Univ, Sch Elect & Informat, Xian 710072, Shaanxi, Peoples R China
[2] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden
[3] Univ Sci & Technol China, Dept Elect Engn & Informat Sci, Hefei 230000, Anhui, Peoples R China
[4] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA
来源：
IEEE SIGNAL PROCESSING LETTERS | 2018年 / 25卷 / 01期
关键词：
Alternating direction method of multipliers (ADMM); flat-spectrum periodic unimodular sequence design; phase retrieval; DESIGNING SEQUENCES; RECOVERY;
D O I：
10.1109/LSP.2017.2767826
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We derive a phase retrieval algorithm using the alternating direction method of multipliers. For the cost function obtained from the maximum likelihood criterion, we introduce auxiliary amplitude and phase variables to avoid the absolute value operator and decouple the determination of the auxiliary phase variables from that of the auxiliary amplitude variables. As a result, a phase retrieval algorithm consisting only of two least-squares steps is derived. The performance of the proposed algorithm is investigated via numerical examples, as well as an application to flat-spectrum periodic unimodular sequence design.
引用
收藏
页码：5 / 9
页数：5
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