1. Spike detection from inaccurate samplings.
- Author
-
Azaïs, Jean-Marc, de Castro, Yohann, and Gamboa, Fabrice
- Subjects
- *
STATISTICAL sampling , *MEASURE theory , *FOURIER analysis , *SEMIDEFINITE programming , *COMPRESSED sensing - 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 ℓ 1 -regularization procedure. In particular, we provide an explicit quantitative localization of the spikes. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF