基于平行互质虚拟阵列的低复杂度二维DOA联合估计算法

针对传统平行阵列2维测向自由度低、分辨能力差和小快拍情况下估计误差大等问题，该文提出基于平行互质虚拟阵列的低复杂度2维波达角(DOA)估计算法。该算法利用两个相互平行的互质线阵扩展生成虚拟阵列，并通过协方差矩阵和互协方差矩阵构造具有增强2维角度自由度的扩展矩阵，最后通过奇异值分解(SVD)和旋转不变技术(ESPRIT)获得自动匹配的2维角度估计。相比于传统的2维DOA估计方法，所提算法更好地利用了阵列接收数据信息，能识别更多的入射信号，分辨能力高，不需要进行2维线性搜索或者角度参数匹配，在低信噪比 (SNR)和小快拍情况下也有很好的估计效果。实验仿真结果验证了提出算法的有效性和可靠性。

A Low Complexity Two-demensional DOA Joint Estimation Algorithm Based on Parallel Coprime Virtual Array

There are more and more problems for the two-Dimensional (2D) direction finding with traditional parallel arrays, such as low degree of freedom, low resolution and large estimation errors with small snapshots, etc. In view of these problems and based on the parallel coprime virtual array, a low-complexity 2D Direction Of Arrival (DOA) algorithm is proposed in this paper. In the proposed algorithm, a virtual array is generated by the the expansion of two mutually parallel linear arrays. Then an extended matrix with high degrees of freedom of the 2D angular is constructed by the autocovariance matrix and cross-covariance matrix. Finally, the automatically matched 2D-DOA estimation is obtained by the Singular Value Decomposition (SVD) and Estimating Signal Parameters via Rotational Invariance Techniques (ESPRIT). Compared with the traditional two-dimensional DOA estimation methods, the proposed algorithm utilizes more information from the received data of the array, can distinguish more incident signals with high resolution. Meanwhile, the proposed algorithm needs no 2D linear searching or angular parameter matching and is with good performance under low Signal-to-Noise Ratio (SNR) and small snapshot. Experimental simulation results demonstrate the correctness and validity of the algorithm.