Blind Source Separation of Bilinearly Mixed Signals

We propose a blind source separation model for statistically independent source signals, when the mixing operator is bilinear. This model is equivalent to a linear model for separation of pairwise multiplications the source signals. We prove that if the source signals are are colored and have distinct autocorrelation functions on a given set P , then we can extract simultaneously the pairwise multiplications of them, using a generalized eigenvalue problem.