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arXiv · 1812.04311

Phase inpainting in time-frequency plane

A. ~Marina Krémé·Valentin Emiya·Caroline Chaux
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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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A. ~Marina Krémé, Valentin Emiya, Caroline Chaux. 2018-12-11. Phase inpainting in time-frequency plane. https://arxiv.org/abs/1812.04311

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