A modified iterative algorithm for phase retrieval

被引：0
作者：
Wooshik Kim
机构：
[1] Sejong University,Department of Information and Communication Engineering
来源：
Journal of the Korean Physical Society | 2012年 / 61卷
关键词：
Phase retrieval; Holographic Interferometry; Image reconstruction;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Phase retrieval is concerned with the reconstruction of a signal or its Fourier phase from the magnitude of its Fourier transform. In this paper, we address the problem of reconstructing an unknown signal from the following information: the magnitude of the Fourier transform of an unknown signal, a known ‘reference’ signal, and the magnitude of Fourier transform of the signal that is given by the addition of the known reference signal and the unknown desired signal. After we briefly mention an iterative algorithm that is proposed to reconstruct a desired signal from the given information and its convergence properties, we modify the algorithm to improve the convergence property such that the total sum of the squared errors of all the steps composing the algorithm, except the one for imposing magnitude constraints, is non-increasing. Finally, we present some examples that show the properties of convergence against two kinds of noises.
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页码：536 / 543
页数：7
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