Kurtosis-based criteria for adaptive blind source separation

We consider the problem of separating adaptively p synchronous user signals that are received by an m-element antenna array without the use of training sequences. We establish a set of necessary and sufficient conditions for perfect recovery of all the transmitted signals. Based on these conditions we propose optimization criteria that lead to adaptive algorithms for efficient blind source separation of non-Gaussian signals. Convergence analysis shows important global convergence properties of the proposed techniques. Combined with their low complexity these features make the proposed algorithms good candidates for adaptive source separation.