动态Gabor矩阵测量的相位恢复

李蕊, 刘蓓, 张庆月

数学学报 ›› 2021, Vol. 64 ›› Issue (5) : 801-810.

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数学学报 ›› 2021, Vol. 64 ›› Issue (5) : 801-810. DOI: 10.12386/A2021sxxb0067
论文

动态Gabor矩阵测量的相位恢复

    李蕊, 刘蓓, 张庆月
作者信息 +

Phase Retrieval from Matrix Measurements of Dynamical Gabor Systems

    Rui LI, Bei LIU, Qing Yue ZHANG
Author information +
文章历史 +

摘要

相位恢复是一类由无相位采样值恢复待估信号的问题.本文讨论的采样是由动态Gabor系统得到的.我们证明了关于动态Gabor测量矩阵可相位恢复的充分条件,并给出了C2和R3中的例子.

Abstract

Phase retrieval is the problem of recovering the underlying signals, which can only get the phaseless measurements. In this paper, we focus on the case that the measurements come from a dynamical Gabor system. We obtain some sufficient conditions on the measurement matrix of a dynamical Gabor system for phase retrieval, and also give concrete applications on C2 and R3.

关键词

相位恢复 / 动态Gabor系统 / Gabor框架

Key words

phase retrieval / dynamical Gabor system / Gabor frame

引用本文

导出引用
李蕊, 刘蓓, 张庆月. 动态Gabor矩阵测量的相位恢复. 数学学报, 2021, 64(5): 801-810 https://doi.org/10.12386/A2021sxxb0067
Rui LI, Bei LIU, Qing Yue ZHANG. Phase Retrieval from Matrix Measurements of Dynamical Gabor Systems. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 801-810 https://doi.org/10.12386/A2021sxxb0067

参考文献

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基金

国家自然科学基金资助项目(11601383,11671214,11971348,12071230);天津市自然科学基金资助项目(18JCYBJC16200)和天津市教委科研计划项目(2018KJ148)

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