IEEE transactions ON SIGNAL PROCESSING VOL. 44. NO. 3, MARCH 1996 A Direct solution for Blind Separation of Sources A. Mansour and C. Jutten Abstract-This correspondance proposes a direct estimation of the mixing matrix in the source separation problem. As a new result, we prove that for non-Gaussian sources, the mixing matrix can be obtained by solving a fourth-degree polynomial equation that derives from nonlinear equations only involving fourth-order cumulants.