Phase retrieval with Bregman divergences: Application to audio signal recovery

11/25/2020

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by   Pierre-Hugo Vial, et al.

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Phase retrieval aims to recover a signal from magnitude or power spectra measurements. It is often addressed by considering a minimization problem involving a quadratic cost function. We propose a different formulation based on Bregman divergences, which encompass divergences that are appropriate for audio signal processing applications. We derive a fast gradient algorithm to solve this problem.