Direction of arrival estimation approach via a vector sensor array under velocity axial inconsistency

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (12) : 283-292.

WANG Weidong1, LI Xiangshui1, TAN Weijie2, ZOU Borong1, LI Hui1

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Abstract

To improve the direction of arrival accuracy via the vector sensor array in the presence of velocity axial inconsistency, a two-step weighted alternating iterative approach(TWAIA) is proposed to estimate the DOA. First, the axial angle bias parameter is introduced into the signal model of the vector sensor array, and the reconstructed interference plus noise covariance matrix is used as the weighting item. Then, based on the weighted covariance matrix fitting and weighted least squares, the cost functions with respect to the sparse signal power and the axial angle bias matrix are reconstructed. In the first step, fix the axial angle bias matrix, the regularized weighted sparse covariance matrix fitting method is used to estimate the sparse signal power; In the second step, fix the sparse signal power, the regularized weighted least squares is employed to estimate the axial angle bias matrix. According to the bias distribution characteristics in the axial angle bias matrix, the desired axial angle bias matrix is reconstructed, and then both the sparse signal power and the axial angle bias matrix are iteratively updated in an alternating way until the estimated sparse signal power is no longer changed compared with the result of the previous iterative estimation. Finally, the DOA is obtained by searching the estimated sparse signal power spectrum peak. Simulation results show that, compared with the existing methods, the proposed TWAIA improves the DOA estimation accuracy of the vector sensor array under the condition of velocity axial inconsistency.

Key words

Vector sensor array / weighted alternating iterative / axial angle bias matrix / direction of arrival estimation

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WANG Weidong1, LI Xiangshui1, TAN Weijie2, ZOU Borong1, LI Hui1. Direction of arrival estimation approach via a vector sensor array under velocity axial inconsistency[J]. Journal of Vibration and Shock, 2022, 41(12): 283-292

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