Formulation of the emission sources localization problem in the case of a self triggered radio-detection experiment : between ill-posedness and regularization - contribution
An abstract for a poster for the 33rd International Cosmic Ray Conference. see this link http://143.107.180.38/indico/contributionDisplay.py/pdf?contribId=601&confId=0
Formulation of the emission sources localization problem in the case of a self triggered radio-detection experiment : between ill-posedness and regularization - contribution
1. 33rd International Cosmic Ray Conference
Contribution ID : 601
Formulation of the emission sources
localization problem in the case of a
self-triggered radio-detection
experiment : Between Ill-posedness
and Regularization
Content :
In the field of radio detection in astroparticle physics, the transition from small-
scale prototype experiments, triggered by particle detectors, to large-scale antenna
array experiments based on standalone detection, has emerged new problems. These
problems are related to the localization, recognition and the suppression of the
noisy background sources induced by human activities (such as high voltage power
lines, electric transformers, cars, trains and planes) or by stormy weather
conditions (such as lightning). In this talk, we focus on the localization problem
which belongs to a class of more general problems usually termed as "inverse
problems".
Based on a detailed analysis of some already published results of experiments like :
CODALEMA 3 in France AERA in Argentina and TREND in China, we demonstrate the ill-
posed character of this problem. This work is organized into three specific points:
the existence of a solutions degeneration, the bad conditioning of the problem and
also we add a new criteria linked to the non-existence of a global solution.
We show, however, that this ill-posed problem is manageable through two kind of
regularizations: an empiric algorithm and a Tikhonov’s regularization. On the other
hand, we also propose an exploitation of the lit antennas convex-hull concept for
introducing a new generation of 3D antennas array. This last part is discussed as new
preliminary results.
Primary authors : Mr. REBAI, Ahmed (Subatech IN2P3-CNRS/Université de Nantes/ Ecole des
Mines de Nantes, Nantes, France)
Co-authors : Mr. SALHI, Tarek (Ecole des Mines de Nantes, Nantes, France and Now at
Département de mathématiques Université de Rennes, France)