Uniqueness of STFT phase retrieval in shift-invariant spaces

被引：2

作者：

Li, Rui ^{[1
]}

Liu, Bei ^{[1
]}

Zhang, Qingyue ^{[1
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 118卷

基金：

中国国家自然科学基金;

关键词：

Phase retrieval; Short-time Fourier transform; Shift-invariant spaces;

D O I：

10.1016/j.aml.2021.107131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：6

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