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MIMO Instantaneous Blind Identification Based on Second-Order Temporal Structure and Steepest-Descent Method

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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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Authors and Affiliations

  1. Mechanical and Electrical Department, Shanghai Institute of Technology, Shanghai, 200235, China

    Xizhong Shen

  2. State Key Laboratory for Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200030, China

    Guang Meng

Authors
  1. Xizhong Shen
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  2. Guang Meng
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Correspondence to Xizhong Shen.

Additional information

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

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