Istituto di Scienza e Tecnologie dell'Informazione     
Wilson S., Kuruoglu E. E., Salerno E. Fully bayesian source separation of astrophysical images modelled by mixture of Gaussians. In: Ieee Journal of Selected Topics in Signal Processing, vol. 2 (5) pp. 685 - 696. Signal Processing for Space Research and Astronomy. A. Leshem, J. Christou, B.D. Jeffs, E.E. Kuruoglu, A.J. van der Veen (eds.). IEEE Press, 2008.
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.
URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2008&isnumber=4703300&Submit32=Go+To+Issue
DOI: 10.1109/JSTSP.2008.2005320
Subject Cosmic microwave background radiation
Bayesian source separation
G.3 Probability and Statistics. Probabilistic algorithms (including Monte Carlo)
J.2 Physical Sciences and Engineering. Astronomy
I.4.4 Restoration
62B5 Image analysis
62H25 Factor analysis and principal components; correspondence analysis
65C05 Monte Carlo methods
65C40 Computational Markov chains

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