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Method for utilizing properties of the sinc(x) function for phase retrieval on nyquist-under-sampled data
Method for utilizing properties of the sinc(x) function for phase retrieval on nyquist-under-sampled data
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机译:利用sinc(x)函数的性质对奈奎斯特欠采样数据进行相位检索的方法
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摘要
Disclosed herein are systems, methods, and non-transitory computer-readable storage media for simulating propagation of an electromagnetic field, performing phase retrieval, or sampling a band-limited function. A system practicing the method generates transformed data using a discrete Fourier transform which samples a band-limited function f(x) without interpolating or modifying received data associated with the function f(x), wherein an interval between repeated copies in a periodic extension of the function f(x) obtained from the discrete Fourier transform is associated with a sampling ratio Q, defined as a ratio of a sampling frequency to a band-limited frequency, and wherein Q is assigned a value between 1 and 2 such that substantially no aliasing occurs in the transformed data, and retrieves a phase in the received data based on the transformed data, wherein the phase is used as feedback to an optical system.
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