SIGNAL SEPARATION USING RANK DEFICIENT MATRICES

A communications device includes an antenna array for receiving different summations of source signals from a plurality of signal sources, a receiver coupled to the antenna array for receiving the different summations of source signals, and a signal separation processor coupled to the receiver. Processing by the signal separation processor includes creating a matrix based upon the different summations of source signals, with the matrix being defined by linear independent equations with fewer equations than unknowns. The matrix is underdetermined, and parameters associated with the matrix are modified based upon different sets of parameter values, and respective matrix quality factors associated with the different sets of parameter values are determined. The matrix is then biased with a preferred set of parameter values so that the solution space may be narrowed for obtaining a solution.