基于ANM的非均匀圆阵二维DOA估计

Two⁃Dimensional DOA Estimation of Non⁃Uniform Circular Array Based on ANM

传统的基于原子范数最小化(Atomic Norm Minimization,ANM)的波达方向(Direction of Arrival,DOA)估计算法无法直接应用于不满足范德蒙德结构的非均匀圆阵,针对这一问题提出了一种基于虚拟阵列变换的改进方法。以某非均匀圆阵作原始阵列为例,首先通过虚拟阵列变换处理原始阵列接收的数据,使其转换为虚拟的均匀L阵接收数据,将非均匀圆阵上的DOA估计问题转化为两个均匀线阵上的DOA估计问题,再利用基于ANM的DOA估计算法与L型阵的二维角度关系还原出方位角和俯仰角。通过仿真与实测实验验证了所提算法应用于非均匀圆阵的可行性,并分析其DOA估计结果,证明其拥有较高的估计精度。

The traditional direction of arrival(DOA)estimation algorithm based on atomic norm minimization(ANM)cannot be directly applied to non⁃uniform circular arrays that do not satisfy the Vandermonde structure.To solve this problem,an improved method based on virtual array transformation is proposed.Taking a non⁃uniform circular array as the original array,firstly,the data received by the original array is processed by the virtual array transformation to con⁃vert it into the data received by the uniform L array,and the DOA estimation problem on the non⁃uniform circular array is tranformed into the DOA estimation problem on two uniform linear arrays.Then the azimuth and elevation angles are restored by the DOA estimation algorithm based on ANM and the two⁃dimensional angular relationship of L⁃shaped array.The simulation and experimental results show that the proposed algorithm can be applied to the non⁃uniform circu⁃lar array,and has high estimation accuracy.