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Off-Grid DOA Estimation Based on Alternating Iterative Weighted Least Squares for Acoustic Vector Hydrophone Array

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Abstract

In this paper, an alternating iterative weighted least squares method is proposed to handle the off-grid issue in sparsity-based direction of arrival (DOA) estimation for acoustic vector hydrophone (AVH) array. Firstly, the off-grid model via AVH array is formulated by introducing a bias parameter into the signal model. Secondly, the reconstructed interference plus noise covariance matrix is calculated as the weighting term. Then, a novel objective function with respect to the sparse signal and the unknown bias parameter is developed based on weighted least squares. Finally, the closed-form solutions of the sparse signal and the unknown bias parameter are deduced. Simulation results reveal that compared with the state-of-the-art algorithms, the proposed method improves the DOA estimation accuracy in the presence of a coarse sample grid and has a faster convergence speed. Furthermore, the effectiveness and robustness of the proposed method are verified by the underwater experimental results.

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Acknowledgements

This work was supported by the National Key Research and Development Program of China under Grant 2016YFC1400203, National Natural Science Foundation of China under Grant 61531015, 61501374, 61771394 and Natural Science Basic Research Plan in Shaanxi Province of China under Grant 2018JM6042.

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Authors and Affiliations

  1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China

    Weidong Wang , Qunfei Zhang & Wentao Shi

  2. State Key Laboratory of Public Big Data, Guizhou University, Guiyang, 550025, People’s Republic of China

    Weijie Tan

  3. Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Linlin Mao

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  1. Weidong Wang
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Correspondence to Wentao Shi.

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Wang , W., Zhang, Q., Shi, W. et al. Off-Grid DOA Estimation Based on Alternating Iterative Weighted Least Squares for Acoustic Vector Hydrophone Array. Circuits Syst Signal Process 39, 4650–4680 (2020). https://doi.org/10.1007/s00034-020-01391-0

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