Phase inpainting in time-frequency plane

Ama Marina Kreme 1, 2 Valentin Emiya 2 Caroline Chaux 1
1 I2M - Institut de Mathématiques de Marseille
2 QARMA - éQuipe d'AppRentissage de MArseille
LIS - Laboratoire d'Informatique et Systèmes
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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Conference papers
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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

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UNIV-AMU | EC-MARSEILLE | I2M-2014- | I2M | LIS-LAB | UNIV-TLN

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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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