Abstract
This paper presents a new MIMO instantaneous blind identification algorithm based on second-order temporal property and steepest-descent method. Second-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 an improved steepest-descent method. We convert the nonlinear system into an optimal problem by constructing an optimal objective function which includes a “valley-filled” item to obtain a valid solution. Our algorithm allows estimating the mixing matrix for scenarios with 4 sources and 3 sensors, etc. Finally, simulations show its effectiveness with more accurate solutions than the algorithm with homotopy method.
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This work has been supported by Shanghai Education, and Shanghai Leading Academic Discipline Project No. J51501.
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Shen, X., Meng, G. MIMO Instantaneous Blind Identification Based on Second-Order Temporal Structure and Steepest-Descent Method. Circuits Syst Signal Process 30, 515–525 (2011). https://doi.org/10.1007/s00034-010-9241-1
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DOI: https://doi.org/10.1007/s00034-010-9241-1