Spike detection from inaccurate samplings

Jean Marc Azaïs; Yohann De Castro; Fabrice Gamboa

doi:10.1016/j.acha.2014.03.004

Spike detection from inaccurate samplings

Jean Marc Azaïs
, Yohann De Castro
, Fabrice Gamboa

Université de Toulouse
Laboratoire de Mathématiques d'Orsay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments, etc.) using an ^ℓ1-regularization procedure. In particular, we provide an explicit quantitative localization of the spikes.

langue originale	Anglais
Pages (de - à)	177-195
Nombre de pages	19
journal	Applied and Computational Harmonic Analysis
Volume	38
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/j.acha.2014.03.004
état	Publié - 1 mars 2015
Modification externe	Oui

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10.1016/j.acha.2014.03.004

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title = "Spike detection from inaccurate samplings",

abstract = "This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments, etc.) using an ℓ1-regularization procedure. In particular, we provide an explicit quantitative localization of the spikes.",

keywords = "Compressed sensing, LASSO, Semidefinite programming, Signed measure, Super-resolution",

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AB - This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train) from few noisy observations (Fourier samples, moments, etc.) using an ℓ1-regularization procedure. In particular, we provide an explicit quantitative localization of the spikes.

KW - Compressed sensing

KW - LASSO

KW - Semidefinite programming

KW - Signed measure

KW - Super-resolution

UR - https://www.scopus.com/pages/publications/84921877977

U2 - 10.1016/j.acha.2014.03.004

DO - 10.1016/j.acha.2014.03.004

M3 - Article

AN - SCOPUS:84921877977

SN - 1063-5203

VL - 38

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JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 2

ER -

Spike detection from inaccurate samplings

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