Title
Fully Bayesian Source Separation of Astrophysical Images Modelled by Mixture of Gaussians
Abstract
We address the problem of source separation in the presence of prior information. We develop a fully Bayesian source separation technique that assumes a very flexible model for the sources, namely the Gaussian mixture model with an unknown number of factors, and utilize Markov chain Monte Carlo techniques for model parameter estimation. The development of this methodology is motivated by the need to bring an efficient solution to the separation of components in the microwave radiation maps to be obtained by the satellite mission Planck which has the objective of uncovering cosmic microwave background radiation. The proposed algorithm successfully incorporates a rich variety of prior information available to us in this problem in contrast to most of the previous work which assumes completely blind separation of the sources. We report results on realistic simulations of expected Planck maps and on WMAP 5th year results. The technique suggested is easily applicable to other source separation applications by modifying some of the priors.
Year
DOI
Venue
2008
10.1109/JSTSP.2008.2005320
J. Sel. Topics Signal Processing
Keywords
Field
DocType
Bayes methods,Markov processes,Monte Carlo methods,cosmic background radiation,source separation,Bayesian source separation,Gaussian mixture model,Markov chain Monte Carlo techniques,astrophysical images,cosmic microwave background radiation,microwave radiation maps,satellite mission Planck,Bayesian source separation,Gibbs sampling,Markov chain Monte Carlo,Planck satellite mission,cosmic microwave background (CMB) radiation
Mathematical optimization,Monte Carlo method,Markov chain Monte Carlo,Computer science,Algorithm,Prior probability,Planck,Statistics,Gibbs sampling,Source separation,Cosmic microwave background,Mixture model
Journal
Volume
Issue
ISSN
2
5
1932-4553
Citations 
PageRank 
References 
3
0.42
8
Authors
3
Name
Order
Citations
PageRank
Simon P. Wilson1489.67
Ercan E. Kuruoglu250561.27
Emanuele Salerno325029.21