A general algebraic algorithm for blind extraction of one source in a MIMO convolutive mixture

The paper deals with the problem of blind source extraction from a multiple-input/multiple-output (MIMO) convolutive mixture. We define a new criterion for source extraction which uses higher-order contrast functions based on so called reference signals. It generalizes existing reference-based contrasts. In order to optimize the new criterion, we propose a general algebraic algorithm based on best rank-1 tensor approximation. Computer simulations illustrate the good behavior and the interest of our algorithm in comparison with other approaches.