Bayesian Calibration using Different Prior Distributions: an Iterative Maximum A Posteriori Approach for Radio Interferometers

Autor: Remy Boyer, Pascal Larzabal, M. N. El Korso, André Ferrari, V. Ollier
Přispěvatelé: Systèmes et Applications des Technologies de l'Information et de l'Energie (SATIE), École normale supérieure - Cachan (ENS Cachan)-Université Paris-Sud - Paris 11 (UP11)-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-École normale supérieure - Rennes (ENS Rennes)-Université de Cergy Pontoise (UCP), Université Paris-Seine-Université Paris-Seine-Conservatoire National des Arts et Métiers [CNAM] (CNAM), HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Laboratoire Energétique Mécanique Electromagnétisme (LEME), Université Paris Nanterre (UPN), Observatoire de la Côte d'Azur (OCA), Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Université Paris-Seine-Université Paris-Seine-Conservatoire National des Arts et Métiers [CNAM] (CNAM)-Centre National de la Recherche Scientifique (CNRS), Boyer, Remy
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Signal Processing (eess.SP)
FOS: Computer and information sciences
Computer science
Iterative method
MathematicsofComputing_NUMERICALANALYSIS
FOS: Physical sciences
02 engineering and technology
robustness
[SDU.ASTR] Sciences of the Universe [physics]/Astrophysics [astro-ph]
01 natural sciences
Statistics - Applications
symbols.namesake
compound-Gaussian distribution
0103 physical sciences
FOS: Electrical engineering
electronic engineering
information engineering
0202 electrical engineering
electronic engineering
information engineering
Maximum a posteriori estimation
Applications (stat.AP)
Electrical Engineering and Systems Science - Signal Processing
Instrumentation and Methods for Astrophysics (astro-ph.IM)
010303 astronomy & astrophysics
[SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
Signal processing
Laplace transform
[SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]
Bayesian calibration
Cauchy distribution
020206 networking & telecommunications
Bayesian statistics
Gaussian noise
maximum a posteriori estimation
Outlier
symbols
Astrophysics - Instrumentation and Methods for Astrophysics
Algorithm
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Zdroj: 26th European Signal Processing Conference (EUSIPCO 2018)
26th European Signal Processing Conference (EUSIPCO 2018), Sep 2018, Rome, Italy
EUSIPCO
Popis: International audience; In this paper, we aim to design robust estimation techniques based on the compound-Gaussian (CG) process and adapted for calibration of radio interferometers. The motivation beyond this is due to the presence of outliers leading to an unrealistic traditional Gaussian noise assumption. Consequently , to achieve robustness, we adopt a maximum a poste-riori (MAP) approach which exploits Bayesian statistics and follows a sequential updating procedure here. The proposed algorithm is applied in a multi-frequency scenario in order to enhance the estimation and correction of perturbation effects. Numerical simulations assess the performance of the proposed algorithm for different noise models, Student's t, K, Laplace, Cauchy and inverse-Gaussian compound-Gaussian distributions w.r.t. the classical non-robust Gaussian noise assumption .
Databáze: OpenAIRE
Externí odkaz: