Support detection in super-resolution
Information Theory
2013-06-03 v2 math.IT
Numerical Analysis
Optimization and Control
Abstract
We study the problem of super-resolving a superposition of point sources from noisy low-pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate the elements of the support with high precision as long as they are separated by 2/f and the noise level is small with respect to the amplitude of the signal.
Cite
@article{arxiv.1302.3921,
title = {Support detection in super-resolution},
author = {Carlos Fernandez-Granda},
journal= {arXiv preprint arXiv:1302.3921},
year = {2013}
}