Analytical blind discrete source separation

In this paper, a new blind source separation algorithm is described. Its main feature is to be analytical, in other words it doesn´t suffer from local minima. The proposed method uses the discrete character of digital sources, which yields a polynomial system. The estimation of the sources is shown to be equivalent to the computation of rank-one tensors that are found by means of the old method by Macaulay for the computation of resultant. Finally, computer simulations are presented and the performances are compared to the analytical CM algorithm by van der Veen.