Phase retrieval from coded diffraction patterns
Phase retrieval from coded diffraction patterns
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DOI：
10.1016/j.acha.2014.09.004
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发表时间：
2015-09-01
影响因子：
2.5
通讯作者：
Soltanolkotabi, Mandi
中科院分区：
文献类型：
--
作者：
Candes, Emmanuel J.;Li, Xiaodong;Soltanolkotabi, Mandi
本文考虑的问题，恢复一个对象的相位从强度只测量，一个自然出现在X射线晶体学和相关学科的问题。我们研究了一个物理上现实的设置，其中可以调制感兴趣的信号，然后收集其衍射图案的强度，每个调制从而产生一种编码的衍射图案。我们表明，相位电梯，最近的凸规划技术，恢复相位信息完全从一些随机调制，这是多对数的未知数。无噪声和噪声数据的数值实验补充了我们的理论分析，并说明了我们的方法。(C)2014 Elsevier Inc. All rights reserved.
This paper considers the question of recovering the phase of an object from intensity-only measurements, a problem which naturally appears in X-ray crystallography and related disciplines. We study a physically realistic setup where one can modulate the signal of interest and then collect the intensity of its diffraction pattern, each modulation thereby producing a sort of coded diffraction pattern. We show that PhaseLift, a recent convex programming technique, recovers the phase information exactly from a number of random modulations, which is polylogarithmic in the number of unknowns. Numerical experiments with noiseless and noisy data complement our theoretical analysis and illustrate our approach. (C) 2014 Elsevier Inc. All rights reserved.