Source Localization by Gradient Estimation Based on Poisson Integral - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Automatica Year : 2014

Source Localization by Gradient Estimation Based on Poisson Integral

Abstract

We consider the problem of localizing the source of a diffusion process. The source is supposed to be isotropic, and several sensors, equipped on a vehicle moving without position information, provide pointwise measures of the quantity being emitted. The solution we propose is based on computing the gradient -- and higher-order derivatives such as the Hessian -- from Poisson integrals: in opposition to other solutions previously proposed, this computation does neither require specific knowledge of the solution of the diffusion process, nor the use of probing signals, but only exploits properties of the PDE describing the diffusion process. The theoretical results are illustrated by simulations.
Fichier principal
Vignette du fichier
Preprint.pdf (1.51 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00999417 , version 1 (03-06-2014)

Identifiers

Cite

Ruggero Fabbiano, Carlos Canudas de Wit, Federica Garin. Source Localization by Gradient Estimation Based on Poisson Integral. Automatica, 2014, 50 (6), pp.1715-1724. ⟨10.1016/j.automatica.2014.04.029⟩. ⟨hal-00999417⟩
289 View
619 Download

Altmetric

Share

Gmail Facebook X LinkedIn More