A One-Dimensional Mathematical Model for the Source Reconstruction by the Maximum Entropy Principle

Authors

Carlo Bianca, Laboratoire de Recherche en Eco-innovation Industrielle et Energe´tique, ´Ecole Supe´rieure d’Inge´nieurs en Ge´nie ´Electrique, Productique et Management Industriel, Cergy-Pontoise 95092, FranceFollow
Raphael Sasportas, Laboratoire de Recherche en Eco-innovation Industrielle et Energe´tique, ´Ecole Supe´rieure d’Inge´nieurs en Ge´nie ´Electrique, Productique et Management Industriel, Cergy-Pontoise 95092, FranceFollow

Author Country (or Countries)

France

Abstract

This paper is concerned with the localization problem of a source belonging to a domain monitored by a network of detectors. A mathematical model is proposed within an inverse problem framework which is based on the maximum information entropy principle. Specifically the connection between the measurements released by the detectors and the sources is obtained by assuming that each detector has a visibility domain which is modeled by introducing a visibility function. A computational sensitivity analysis is performed on the number of detectors and on the visibility functions. The results are of great interest in the applied sciences.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110628

Recommended Citation

Bianca, Carlo and Sasportas, Raphael (2017) "A One-Dimensional Mathematical Model for the Source Reconstruction by the Maximum Entropy Principle," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 28.
DOI: http://dx.doi.org/10.18576/amis/110628
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/28