Optimisation convexe pour l’estimation simultanée de réponses acoustiques

We consider the estimation of acoustic impulse responses from the simultaneous recording of several known sources. Existing techniques are restricted to the case where the number of sources is at most equal to the number of sensors. We relax this assumption in the case where the sources are known. To this aim, we propose statistical models of the filters associated with a convex log-likelihood, and we propose a convex optimization algorithm to solve the inverse problem, with the resulting penalties. We provide a comparaison between penalties via a set of experiments which shows that the proposed method allows to obtain a robust estimation, and greatly improves performance compared to the naive approach.