Determination of the number of sources in blind source separation
Mahieddine M. Ichir · AIP conference proceedings · 2005
The determination of the number (n) of unobserved sources is an important issue in Blind Source Separation (BSS) of linear and instantaneous mixtures. However BSS is already a difficult task, so we generally assume that this number (n) is known and a priori fixed. In this paper, we address this issue as a Bayesian model selection problem and view the determination of this number (n) as a hypothesis testing problem via comparison of Bayes factors and study the computation of these factors by two numerical approximations: importance sampling from the posterior and simulated annealing sampling.Seeking for a general solution may be tricky to this problem, so we will be interested in blind separation of sparse sources modeled by a double exponential prior “π(.) ∝ exp(−λ|.|)”.