Partially impaired antenna array is one of the challenges for estimating the accurate directions of the signals impinging upon antenna arrays. It causes random loss of the signal information, resulting in the poor direction of arrival (DOA) estimation performance. In this paper, we propose an efficient DOA estimation method under partially impaired antenna array elements, which work randomly. We first devise a strategy to detect the positions of randomly lost signal information corresponding to partially impaired antenna array elements and then formulate the problem of received signal recovery as low rank matrix completion. Afterwards, we utilize the recursive least squares (RLS) with the nulling antenna array for DOA estimation due to its fast convergence and low mean square error properties and place the nulls in the directions of received signals by adjusting the weight vectors adaptively. The reciprocal of the antenna array defines the output spatial spectrum, and the directions of the signals are estimated by finding the high peaks. We also investigate the mean and mean square performance of the RLS after recovering and de-noising the received signal. Simulation results show that the proposed method converges to optimal solution fast and outperforms the existing DOA estimation methods.

中文翻译：

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部分受损天线阵元下的有效 DOA 估计

部分受损的天线阵列是估计撞击天线阵列的信号的准确方向的挑战之一。它会导致信号信息的随机丢失，导致到达方向（DOA）估计性能较差。在本文中，我们提出了一种在随机工作的部分受损天线阵元下的有效 DOA 估计方法。我们首先设计了一种策略来检测与部分受损的天线阵列元素相对应的随机丢失信号信息的位置，然后将接收信号恢复问题表述为低秩矩阵完成。然后，由于其快速收敛和低均方误差特性，我们利用具有归零天线阵列的递归最小二乘法 (RLS) 进行 DOA 估计，并通过自适应调整权重向量将零点置于接收信号的方向。天线阵列的倒数定义了输出空间频谱，并且通过找到高峰值来估计信号的方向。我们还研究了 RLS 的均值和均方性能对接收到的信号进行恢复和去噪。仿真结果表明，该方法能够快速收敛到最优解，优于现有的 DOA 估计方法。