The MLE is a reliable source: sharp performance guarantees for localization problems - Signaux et Images Access content directly
Journal Articles Inverse Problems Year : 2023

The MLE is a reliable source: sharp performance guarantees for localization problems

Abstract

Single source localization from low-pass filtered measurements is ubiquitous in optics, wireless communications and sound processing. We analyse the performance of the maximum likelihood estimator (MLE) in this context with additive white Gaussian noise. We derive necessary conditions and sufficient conditions on the maximum admissible noise level to reach a given precision with high probability. The two conditions match closely, with a discrepancy related to the conditioning of a noiseless cost function. They tightly surround the Cramér-Rao lower bound for low noise levels. However, they are significantly more precise for larger levels. An outcome is new optimization criteria for the design of point spread functions in single molecule microscopy.
Fichier principal
Vignette du fichier
Paper.pdf (1.3 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03811028 , version 1 (11-10-2022)
hal-03811028 , version 2 (21-11-2023)

Identifiers

Cite

Nathanaël Munier, Emmanuel Soubies, Pierre Weiss. The MLE is a reliable source: sharp performance guarantees for localization problems. Inverse Problems, 2023, ⟨10.1088/1361-6420/ad0dbb⟩. ⟨hal-03811028v2⟩
316 View
155 Download

Altmetric

Share

Gmail Facebook X LinkedIn More