Spikes super-resolution with random Fourier samplingReport as inadecuate

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1 PANAMA - Parcimonie et Nouveaux Algorithmes pour le Signal et la Modélisation Audio Inria Rennes – Bretagne Atlantique , IRISA D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE 2 Institut für Mathematik Potsdam

Abstract : We leverage recent results from machine learning to show theoretically and practically that it is possible to stably recover a signal made of few spikes in the gridless setting from few random weighted Fourier measurements.
Given a free choice of frequencies, a number of measurements lower than with the traditional low-pass filter uniform sampling of low frequencies guarantees stable recovery.

Author: Yann Traonmilin - Nicolas Keriven - Rémi Gribonval - Gilles Blanchard -

Source: https://hal.archives-ouvertes.fr/


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