单参数正则变换系统中强度测量的相位重建

Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings. Pub Date : 2003-07-01 DOI:10.1109/ISSPA.2003.1224772

M. J. Bastiaans, K. Wolf

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引用次数: 3

摘要

本文考虑光信号的单参数正则变换，并推导出其局部空间频率(信号相位导数)与单参数正则变换的平方模对参数的导数之间的关系。从这一关系中我们得出结论，信号的相位可以通过让信号在一个适当的单参数正则变换系统中传播，然后测量两个参数接近值的两个强度分布来重建。

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Phase reconstruction from intensity measurements in one-parameter canonical-transform systems

In this paper, we consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.

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Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.

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