Phase inpainting in time-frequency plane

Ama Marina Kreme; Valentin Emiya; Caroline Chaux

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.

Document type :

Conference papers

Domain :

Computer Science [cs] / Signal and Image Processing

Computer Science [cs] / Machine Learning [cs.LG]

Complete list of metadatas

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

Phase inpainting in time-frequency plane

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Phase inpainting in time-frequency plane

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