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A 2-D DOA Estimation Algorithm for Closely Spaced Sources with L-Shaped Array

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Abstract

In this paper, a two-dimensional (2-D) direction of arrival (DOA) estimation algorithm is developed for closely spaced sources with L-shaped array. In the proposed algorithm, we formulate two special matrices related to the covariance matrix of the antenna output by using matrix multiplication, the nonzero eigenvalues and corresponding eigenvectors of which contain the pair matching and DOA information, respectively. The pair-matching procedure is carried out by dealing with the nonzero eigenvalues of two spacial matrices, and theoretical analysis indicates that the pair-matching procedure does not result in the pair-matching failure. The DOAs of the sources are estimated by utilising the eigenvectors corresponding to nonzero eigenvectors, and the DOA estimation accuracy is significantly improved by this means. We also discuss the reason why the presented method can distinguish closely spaced sources. The simulation results validate the performance of the proposed algorithm.

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Authors and Affiliations

  1. College of Information Engineering, Guizhou Institute of Technology, No. 1, Caiguan Road, Guiyang, 550003, China

    Nie Xi, Xie Xianbing, Zeng Kai & Zhang Kesheng

  2. College of Electronic and Information Engineering, Southwest University, No. 2, Tiansheng Road, Beibei District of Chongqing, Chongqing, 400715, China

    Qian Guobing

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  1. Nie Xi
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  2. Qian Guobing
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  3. Xie Xianbing
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  4. Zeng Kai
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Correspondence to Nie Xi.

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Xi, N., Guobing, Q., Xianbing, X. et al. A 2-D DOA Estimation Algorithm for Closely Spaced Sources with L-Shaped Array. Circuits Syst Signal Process 36, 4498–4511 (2017). https://doi.org/10.1007/s00034-017-0525-6

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  • DOI: https://doi.org/10.1007/s00034-017-0525-6

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