Phase retrieval with background information
Phase retrieval with background information
复制标题
带背景信息的相位检索
DOI：
10.1088/1361-6420/ab0b18
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发表时间：
2018-02
期刊：
影响因子：
2.1
通讯作者：
Hongxia Wang
中科院分区：
文献类型：
--
作者：
Ziyang Yuan;Hongxia Wang
Phase retrieval, which is actually an inverse problem without standard uniqueness guarantee, has been the subject of intense algorithmic development in various aspects. Under different settings, it is necessary to design different efficient models and solvers, and, of course, provide the theoretical supports. In this paper, we consider the scenario that background information of the signal is available; and then, a model called phase retrieval with background information is proposed. With sufficient prior background information, we construct a loss function and apply the projected gradient descent method to search the ground truth. Theoretically, we first provide the uniqueness guarantee for the proposed model, and then prove that each stationary point admits the global optimum with probability 1. Next we present the convergence result of the corresponding projected gradient descent. Numerical simulations on 1D and 2D signals demonstrate the efficiency and robustness of the proposed model and algorithm.
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DOI：
10.1109/tassp.1982.1163863
发表时间：
1982-04
期刊：
IEEE Transactions on Acoustics, Speech, and Signal Processing
影响因子：
--
作者：
M. Hayes
通讯作者：
M. Hayes
影响因子：
3.1
作者：
R. Gerchberg
通讯作者：
R. Gerchberg
DOI：
10.1109/icassp.2014.6853917
发表时间：
2013-08
期刊：
2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
影响因子：
--
作者：
Henrik Ohlsson;Yonina C. Eldar
通讯作者：
Henrik Ohlsson;Yonina C. Eldar
影响因子：
1.2
作者：
Beinert, Robert;Plonka, Gerlind
通讯作者：
Plonka, Gerlind
DOI：
10.1090/s0002-9947-1975-0367131-6
发表时间：
1975-01-01
影响因子：
1.3
作者：
CLARKE, FH
通讯作者：
CLARKE, FH