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Phase inpainting in time-frequency plane


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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Dates and versions

hal-01881334 , version 1 (25-09-2018)


  • HAL Id : hal-01881334 , version 1


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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