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Phase retrieval using a window function

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摘要

The problem considered is that of reconstructing a signal from the Fourier intensity of the signal and the Fourier intensities of two windowed signals: one by a window w(n) and the other by its complementary window (1-w(n)). Several conditions are developed under which a signal can be uniquely specified to within several trivial ambiguities such as sign, translation, and time reversal from the given conditions. A possible reconstruction algorithm derived from the Gerchberg-Saxton algorithm is presented.
机译:考虑的问题是根据信号的傅立叶强度和两个加窗信号的傅立叶强度来重构信号:一个是通过窗口w(n),另一个是通过其互补窗口(1-w(n))。提出了几种条件,在这些条件下,可以将信号唯一地指定给一些琐碎的歧义,例如从给定条件开始的符号,转换和时间反转。提出了一种从Gerchberg-Saxton算法导出的可能的重建算法。

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