Phase retrieval with Bregman divergences: Application to audio signal recovery
This work provides a new mathematical formulation and algorithm for phase retrieval, potentially benefiting researchers and practitioners in audio signal processing.
This paper addresses phase retrieval, the problem of reconstructing a signal from its magnitude or power spectra, by proposing a new formulation based on Bregman divergences. They developed a fast gradient algorithm to solve this problem, which is particularly suited for audio signal processing applications.
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.