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An optimal robust adaptive beamforming in the presence of unknown mutual coupling

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Abstract

An optimal robust adaptive beamformer in the presence of unknown mutual coupling is proposed. In this proposed beamformer, envelopes of the received signals in the presence of unknown mutual coupling and their corresponding powers can be estimated by utilizing the Toeplitz characteristics of the mutual coupling matrix. Both of them are used to reconstruct the interference-plus-noise covariance matrix in a novel expression. A subspace orthogonal to the interference space can be obtained by performing the eigenvalue decomposition on this reconstructed matrix. Hence, the desired signal and the noise are retained by projecting the observed data to this orthogonal space. Finally, the optimal weight vector is obtained by passing the desired signal with the maximum output power criterion. The proposed method maintains excellent performance in the presence of unknown mutual coupling and the simulation results are consistent with the theoretical analysis.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 61301262, 61371184) and the Fundamental Research Funds for the Central Universities (No. ZYGX2016J027).

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Authors and Affiliations

  1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Julan Xie, Xue Yang, Huiyong Li, Xu Wang & Jun Li

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  1. Julan Xie
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  2. Xue Yang
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  3. Huiyong Li
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  4. Xu Wang
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  5. Jun Li
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Correspondence to Julan Xie.

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Xie, J., Yang, X., Li, H. et al. An optimal robust adaptive beamforming in the presence of unknown mutual coupling. Multidim Syst Sign Process 30, 295–310 (2019). https://doi.org/10.1007/s11045-018-0557-5

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  • DOI: https://doi.org/10.1007/s11045-018-0557-5

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