MIMO Instantaneous Blind Identification Based on Second-Order Temporal Structure and Newton's Method

Authors:
Xizhong Shen;Guang Meng
Affiliations:
Mechanical & Electrical department, Shanghai Institute of Technology, China 200235 and State Key Laboratory for Mechanical System and Vibration, Shanghai Jiao Tong University, China 200030;State Key Laboratory for Mechanical System and Vibration, Shanghai Jiao Tong University, China 200030
Venue:
AICI '09 Proceedings of the International Conference on Artificial Intelligence and Computational Intelligence
Year:
2009

Citing 3
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Source separation based on second order statistics-an algebraic approach

SSAP '96 Proceedings of the 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing (SSAP '96)
Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications

Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
MIMO Instantaneous Blind Identification Based on Second-Order Temporal Structure

IEEE Transactions on Signal Processing

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Abstract

This paper presents a new MIMO instantaneous blind identification algorithm based on second order temporal property and Newton's 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 Newton's method for the equations. Our algorithm allows estimating the mixing matrix for scenarios with 4 sources and 3 sensors, etc. Simulations and comparisons show its effective with more accurate solutions than the algorithm with homotopy method.