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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。
To estimate the DOA of coherent sources in electromagnetic vector array, a quaternion Toeplitz matrix reconstruction algorithm is proposed to reduce the effective aperture of the array when the spatial smoothing algorithm is de-coherent. First of all, based on the orthogonal properties of quaternions, a signal reception model is established to maintain the orthogonality between the two components of the array output signal of the electromagnetic vector array. At the same time, both the DOA and the polarization information are guaranteed Can be included in the reconstruction matrix; then, based on the correlation function between the data received by each array element and the data received by the reference element array, a Hermitian Toeplitz matrix is formed, so as to achieve the coherence. Compared with the space smoothing algorithm, this algorithm increases the estimated number of coherent sources, and has better estimation performance when the signal-to-noise ratio is lower and the angle of incidence is close to. The simulation results show that the algorithm is validated.