English

Phase inpainting in time-frequency plane

Signal Processing 2018-12-12 v1

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.

Keywords

Cite

@article{arxiv.1812.04311,
  title  = {Phase inpainting in time-frequency plane},
  author = {A. ~Marina Krémé and Valentin Emiya and Caroline Chaux},
  journal= {arXiv preprint arXiv:1812.04311},
  year   = {2018}
}

Comments

In Proceedings of iTWIST'18, Paper-ID: <35>, Marseille, France, November, 21-23, 2018

R2 v1 2026-06-23T06:38:42.367Z