Uniqueness of STFT phase retrieval in shift-invariant spaces

Uniqueness of STFT phase retrieval in shift-invariant spaces
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DOI:
10.1016/j.aml.2021.107131
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发表时间:
2021-02
期刊:
Appl. Math. Lett.
影响因子:
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通讯作者:
Rui Li;Bei Liu;Qingyue Zhang
Rui Li;Bei Liu;Qingyue Zhang
中科院分区:
其他
文献类型:
--
作者:
Rui Li;Bei Liu;Qingyue Zhang

文献摘要

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In this paper, we consider the problem of phase retrieval from short-time Fourier transform (STFT) intensity measurements. A uniqueness result is established for nonseparate real-valued continuous signals under some assumption of window. For real signals in shift-invariant spaces (SIS), we provide uniqueness theorems for both separable and nonseparable signals. For complex signals, we prove a uniqueness result in cardinal B-spline spaces from magnitude-only samples.