The application of a nonuniform nested array provides a simple way for underdetermined direction of arrival (DOA) estimation, enabling us to develop a suited self-calibration algorithm for perturbed nested array. The key points of this algorithm contain two steps: a first step is to obtain gain-phase errors estimation by utilizing partly calibrated array and properly choosing the elements of fourth-order cumulant matrix; a second step to form a small perturbed model after compensating the gain-phase errors as well as obtain DOA estimation using the sparse total east squares (STLS) technique. The proposed algorithm is very suited for underdetermined DOA estimation in the presence of gain-phase errors. Numerical simulations validate the effectiveness of the proposed algorithm.

中文翻译：

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使用四阶累积量校准用于欠定 DOA 估计的嵌套阵列

非均匀嵌套阵列的应用为欠定到达方向 (DOA) 估计提供了一种简单的方法，使我们能够为扰动嵌套阵列开发合适的自校准算法。该算法的关键点包含两个步骤：通过利用部分校准的阵列并正确选择四阶累积矩阵的元素来获得增益相误差估计; 第二步，在补偿增益相位误差后形成小扰动模型，并使用稀疏总东二乘法 (STLS) 技术获得 DOA 估计。所提出的算法非常适用于存在增益相位误差的欠定 DOA 估计。数值模拟验证了所提出算法的有效性。