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Phase retrieval with Bregman divergences: Application to audio signal recovery

Abstract : 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.
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https://hal.inria.fr/hal-03136486
Contributor : Paul Magron Connect in order to contact the contributor
Submitted on : Monday, October 11, 2021 - 3:22:52 PM
Last modification on : Tuesday, January 4, 2022 - 6:35:39 AM
Long-term archiving on: : Wednesday, January 12, 2022 - 8:08:01 PM

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  • HAL Id : hal-03136486, version 1
  • ARXIV : 2011.12818

Citation

Pierre-Hugo Vial, Paul Magron, Thomas Oberlin, Cédric Févotte. Phase retrieval with Bregman divergences: Application to audio signal recovery. International Traveling Workshop on Interactions between low-complexity data models and Sensing Techniques (iTWIST 2020), Sébastien Bourguignon (Centrale Nantes, LS2N, Nantes, France); Cédric Herzet (INRIA Rennes, France); Jérôme Idier (CNRS, LS2N, Nantes, France); Charles Soussen (CentraleSupélec, L2S, Gif-Sur-Yvette, France), Dec 2020, Nantes (virtual), France. ⟨hal-03136486⟩

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