Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements

被引：1

作者：

Zhong, Shi ^{[1
]}

Liu, Bei ^{[1
]}

Li, Rui ^{[1
]}

Zhang, Qingyue ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 04期

基金：

中国国家自然科学基金;

关键词：

discrete Gabor transform; linear canonical transformation; phase retrieval; time-frequency analysis; COMPLEX SIGNAL RECOVERY; FAST ALGORITHM; RECONSTRUCTION;

D O I：

10.1002/mma.8730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Phase retrieval gives the problem of recovering some signal from phaseless measurements. This paper mainly studies the stability estimation of phase recovery from the measurement of discrete linear canonical Gabor transformation (DLCGT). We first show that we can recover the signal x on the connected components of G in global phase sense. Then, we give the stability estimates results from the DLCGT measurements and the autocorrelation relation.

引用

页码：3937 / 3947

页数：11

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