Sampling at Twice the Nyquist Rate in Two Frequency Bins Guarantees Uniqueness in Gabor Phase Retrieval

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作者
Matthias Wellershoff
机构
[1] University of Maryland,Department of Mathematics
关键词
Phase retrieval; Gabor transform; Nyquist–Shannon sampling; Hadamard factorisation theorem; Müntz–Szász type result; 94A12; 42B10;
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摘要
We show that bandlimited signals can be uniquely recovered (up to a constant global phase factor) from Gabor transform magnitudes sampled at twice the Nyquist rate in two frequency bins.
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