A closed form solution for the blind separation of two sources from two sensors using second order statistics

In this paper, we present a specific algorithm for the blind identification of a two input two output system. A closed form solution for the blind identification of the system is derived by exploiting the temporal coherence properties of the input sources. By exploiting the inherent indeterminacies of the blind processing, a simplified version is derived making the algorithm computationally cheaper and more suitable for hardware implementation. The weights of the zero forcing blind separator are then deduced. The performance of the proposed solutions with respect to the signal to noise ratio (SNR) and sample size are provided in the simulation section.