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arXiv · 1706.01799

Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting

Sami Merhi·Aditya Viswanathan·Mark Iwen
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Abstract

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.

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Sami Merhi, Aditya Viswanathan, Mark Iwen. 2017-06-06. Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting. https://arxiv.org/abs/1706.01799

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