Phase inpainting in time-frequency plane

Abstract : We propose a new problem of missing data reconstruction in the time-frequency plane. This problem called phase inpainting, consists in reconstructing a signal from time-frequency observations where all amplitudes and some phases are known while the remaining phases are missing. A mathematical formulation of this problem is given. We propose three alternatives of existing algorithms. An iterative algorithm: Griffin and Lim and two semidefinite programming optimization algorithms: PhaseLift and PhaseCut. The obtained results show that knowledge of certain phases improves the reconstruction's quality.
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https://hal-amu.archives-ouvertes.fr/hal-01881334
Contributor : Valentin Emiya <>
Submitted on : Tuesday, September 25, 2018 - 4:48:44 PM
Last modification on : Monday, March 4, 2019 - 2:04:22 PM

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  • HAL Id : hal-01881334, version 1

Citation

Ama Marina Kreme, Valentin Emiya, Caroline Chaux. Phase inpainting in time-frequency plane. iTWIST: international Traveling Workshop on Interactions between low-complexity data models and Sensing Techniques, Nov 2018, Marseille, France. ⟨hal-01881334⟩

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