Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting
Friday, August 18, 2017 - 10:30am - 11:00am
A novel phase retrieval method, motivated by ptychographic imaging, is proposed for the approximate recovery of a compactly supported, complex-valued specimen function 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.