In order to realize the high-precision direction of arrival (DOA) estimation of the coherent source of two-dimensional multiple-input and multiple-output (MIMO) radar, a solution is given by combining Toeplitz matrix set reconstruction. MIMO radar obtains a larger aperture with fewer arrays. Traditional two-dimensional reconstruction Toeplitz-like algorithms use part of the information in the construction of two correlation matrices or covariance matrices to construct the Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes the information utilization incomplete and requires additional denoising processing. To solve the above problems, this paper proposes an improved Toeplitz matrix set reconstruction algorithm based on the two-dimensional reconstruction Toeplitz class algorithm. The complete array element receiving signal vector is used to construct two Toeplitz matrix sets containing complete information, and then their conjugate transposes. Multiply and sum to correct the matrix to obtain a full-rank matrix, so as to achieve the purpose of decoherence and combine the traditional ESPRIT algorithm to perform two one-dimensional reconstruction processing through rotation invariance and then perform angle matching to achieve two-dimensional coherent signal angle estimation, while avoiding additional denoising processing. Finally, the simulation results of the cross array and the L-shaped array verify the effectiveness of the algorithm in this paper and further extend it to the two-dimensional MIMO radar array model and compare it with the traditional ESPRIT-like algorithm and the REC-FBSS-ESPRIT algorithm. In comparison, the algorithm in this paper has better performance under the conditions of successful resolution, DOA estimation accuracy, and low signal-to-noise ratio.

中文翻译：

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基于Toeplitz矩阵集重构的MIMO雷达相干源二维DOA估计。

为了实现二维多输入多输出（MIMO）雷达相干源的高精度到达方向（DOA）估计，结合Toeplitz矩阵集重构给出了一种解决方案。MIMO雷达可通过更少的阵列获得更大的孔径。传统的二维重建类Toeplitz算法在执行二维相干源DOA估计时会使用部分信息构建两个相关矩阵或协方差矩阵来构建Toeplitz矩阵，这使得信息利用不完整，需要额外的去噪处理。针对上述问题，本文提出了一种基于二维重构Toeplitz类算法的改进的Toeplitz矩阵集重构算法。完整的数组元素接收信号向量用于构造两个包含完整信息的Toeplitz矩阵集，然后将它们的共轭转置。乘和求和以校正矩阵以获得全秩矩阵，从而达到去相干的目的，并结合传统的ESPRIT算法通过旋转不变性进行两个一维重构处理，然后进行角度匹配以实现二维相干信号角度估计，同时避免了额外的降噪处理。最后，交叉阵列的仿真结果和 从而达到去相干的目的，结合传统的ESPRIT算法通过旋转不变性进行二维一维重构处理，然后进行角度匹配，实现二维相干信号角度估计，同时避免了额外的去噪处理。最后，交叉阵列的仿真结果和 从而达到去相干的目的，结合传统的ESPRIT算法通过旋转不变性进行二维一维重构处理，然后进行角度匹配，实现二维相干信号角度估计，同时避免了额外的去噪处理。最后，交叉阵列的仿真结果和L形阵列验证了本文算法的有效性，并将其扩展到二维MIMO雷达阵列模型，并与传统的类似ESPRIT的算法和REC-FBSS-ESPRIT算法进行了比较。相比之下，在成功解决分辨率，DOA估计精度和低信噪比的条件下，本文算法具有更好的性能。