对于电磁矢量阵列的相干信源波达方向估计，针对空间平滑算法解相干时减少阵列有效孔径的问题，提出了一种四元数Toeplitz矩阵重构算法。首先，根据四元数的正交特性建立了信号接收模型，很好地保持了电磁矢量阵列的阵元输出信号两分量间的正交性，同时保证了波达方向角信息和极化信息都能包含在重构矩阵中；然后，在阵列各阵元接收数据与参考阵元接收数据的相关函数基础上，构成Hermitian Toeplitz矩阵，从而实现解相干。该算法与空间平滑算法相比增加了相干信源估计个数，且在低信噪比和入射角度接近时具有更好的估计性能，通过仿真实验得到了验证。

For DOA estimation of coherent sources based on electromagnetic vector sensor array, spatial smoothing algorithm reduced the number of array aperture. A quaternion Toeplitz matrix reconstruction algorithm is proposed. First of all, receiving signal model is established according to the orthogonal property of quaternion, orthogonal structure of two components keeps well for electromagnetic vector sensor array and at the same time DOA and polarization information can be ensured in the reconstruction matrix. Then hermitian Toeplitz matrix is constituted based on the receive data's correlation function between each array element and reference array element. Compared with spatial smoothing algorithm, it increases the number of coherent sources that can be estimated. In the condition of low signal-to-noise ratio and close incident angles, it has better estimation performance. The simulation experiment proves the correctness of the algorithm.

TN957;TN911.7

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