A GENERAL THEORY OF CLOSED-FORM ESTIMATORS FOR BLIND SOURCE SEPARATION
Vicente Zarzoso, Asoke Kumar Nandi · 2001
We present a general theory for the closed-form parametric estimation of the unitary mixing matrix after prewhitening in the blind separation of two source signals from two noiseless instantaneous linear mixtures. The proposed methodology is based on the algebraic formalism of bicomplex numbers and is able to treat both real and complex valued mixtures indiscriminately. Existing analytic methods are found as particular cases of the exposed unifying formulation. Simulations in a variety of separation scenarios --- even beyond the noiseless two-signal case --- compare, assess and validate the methods studied.