Spike detection from inaccurate samplings

Understand

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...) using an $\ell_{1}$-regularization procedure.
• In particular, we provide an explicit quantitative localization of the spikes.