通过提升实现从光谱测量中恢复紧支撑函数
Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting
AI总结：
本文提出了一种新的相位恢复方法，用于从连续短时傅里叶变换光谱测量中近似恢复紧支撑函数，方法受投影电子显微镜启发，基于提升的无限维问题形式，并通过截断实现计算。
摘要：
本文提出了一种新的相位恢复方法，受投影电子显微镜启发，用于从连续短时傅里叶变换（STFT）光谱测量中近似恢复紧支撑函数 $f:\mathbb{R}\rightarrow\mathbb{C}$。该方法部分受已知的PhaseLift算法启发，基于提升的无限维问题形式，随后通过截断以实现计算。数值实验展示了所提出方法的潜力。
英文摘要：
A novel phase retrieval method, motivated by ptychographic imaging, is proposed for the approximate recovery of a compactly supported specimen function $f:\mathbb{R}\rightarrow\mathbb{C}$ from its continuous short time Fourier transform (STFT) spectrogram measurements. The method, partially inspired by the well known PhaseLift algorithm, is based on a lifted formulation of the infinite dimensional problem which is then later truncated for the sake of computation. Numerical experiments demonstrate the promise of the proposed approach.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
