In this letter, we focus on the problem of direction-of-arrival (DOA) estimation with a nested array in the presence of unknown mutual coupling. Firstly, the measurement model of the nested array with mutual coupling is established, and the properties of the corresponding array covariance matrix are derived. Based on the obtained properties, the coarray output signal is then reconstructed with reduced mutual coupling. Finally, joint sparse recovery technique is employed to extract the DOAs. Our algorithm can achieve underdetermined DOA estimation with satisfactory performance under unknown mutual coupling. Numerical results demonstrate the effectiveness of the proposed algorithm.

中文翻译：

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针对嵌套阵列相互耦合的鲁棒 DOA 估计

在这封信中，我们专注于在存在未知互耦合的情况下使用嵌套数组进行到达方向 (DOA) 估计的问题。首先建立具有互耦合的嵌套阵列的测量模型，推导出对应的阵列协方差矩阵的性质。基于获得的特性，然后以减少的互耦合重构共阵列输出信号。最后，采用联合稀疏恢复技术来提取 DOA。我们的算法可以在未知互耦合下实现具有令人满意性能的欠定 DOA 估计。数值结果证明了所提出算法的有效性。