Generalized mutual information approach to multichannel blind deconvolution

In this paper, we propose an approach to the multichannel blind deconvolution problem, based on the mutual information criterion and more generally on an appropriate system of estimating equations. Formulas for the quasi-Newton algorithm and the asymptotic covariance matrix of the estimator are provided. More interesting results have been obtained in the pure deconvolution case. By a clever parameterization of the deconvolution filter, the estimated parameters are asymptotically independent and explicit and simple formula for their variance are obtained. The quasi-Newton algorithm also becomes particularly simple. Simulation results showing the good performance of the methods are provided.