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This paper presents a new MIMO instantaneous blind identification algorithm based on third-order temporal property. Third-order temporal structure is reformulated in a particular way such that each column of the unknown mixing matrix satisfies a system of nonlinear multivariate homogeneous polynomial equations. The nonlinear system is solved by improved steepest descent method. We construct a general goal of the nonlinear system and convert the nonlinear problem into an optimal problem. The optimal solutions are obtained one by one by adding a penalty item to the general goal, which is Gaussian function characterized with valley-filled feature. Our algorithm allows estimating the mixing matrix for scenarios with 3 sources and 2 sensors, etc. Finally, simulations and comparisons show its effectiveness.

MIMO INSTANTANEOUS BLIND IDENTIFICATION BASED ON THIRD-ORDER CUMULANT