Source separation using bilinear forms

In recent years many source separation algorithms which are based on different types of second order statistics have been proposed. Among these we find the SOBI, the phase-SCORE and many others. We describe a unifying frame under which all these seemingly different algorithms can be combined into a single coherent algebraic source separation framework. We also derive a new whitening scheme which greatly enhances each of the algorithms in the family, and a new generalization of the phase-SCORE algorithm.