Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements
Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements
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DOI：
10.1002/mma.8730
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发表时间：
2022-09
影响因子：
2.9
通讯作者：
Shi Zhong;Bei Liu;Rui Li;Qingyue Zhang
中科院分区：
文献类型：
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作者：
Shi Zhong;Bei Liu;Rui Li;Qingyue Zhang
相位恢复给出了从无相位测量中恢复某些信号的问题。本文主要研究基于离散线性正则Gabor变换(DLCGT)测量的相位恢复的稳定性估计。我们首先证明了在全局相位意义下，我们可以在G$$G$$的连通分量上恢复信号x$$x$$。然后，我们给出了基于DLCGT测量和自相关关系的稳定性估计结果。
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$$ x $$ on the connected components of G$$ G $$ in global phase sense. Then, we give the stability estimates results from the DLCGT measurements and the autocorrelation relation.