相位恢复问题研究
Research on Phase Retrieval Problem
DOI: 10.12677/PM.2019.93044, PDF,    国家自然科学基金支持
作者: 龚 敢, 王会敏*, 邬 谦, 卢云洋：绍兴文理学院，应用统计系，浙江 绍兴
关键词: 稀疏性；相位恢复；迭代算法；非凸优化；Sparsity； Phase Retrieval； Iterative Algorithm； Nonconvex Optimization
摘要: 相位恢复问题是工程物理领域的一个重要的问题，研究如何从一个傅立叶测量的模中估计一个信号。一般来说，这个问题是病态的，因此，要准确恢复信号，需要信号的一些先验信息。关于相位恢复问题已经涌现了非常丰富的研究成果，本文将对稀疏相位恢复问题最新的理论和算法进展进行综述。
Abstract: Phase retrieval is an important issue in the field of engineering physics, studying how to estimate a signal from its Fourier transform magnitude. Generally speaking, this problem is ill-posed. Therefore, to recover the signal accurately, some a priori information of the signal is needed. Very rich research results have emerged in the phase recovery problem. This paper will review the latest theories and algorithms of sparse phase recovery.
文章引用：龚敢, 王会敏, 邬谦, 卢云洋. 相位恢复问题研究[J]. 理论数学, 2019, 9(3): 330-335. https://doi.org/10.12677/PM.2019.93044

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