基于双平行互质阵列的二维高精度DOA估计

2D-DOA estimation with high accuracy using double parallel co-prime array

为利用互质结构进行二维高精度波达方向(direction of arrival,DOA)估计,设计了双平行互质阵列,提出了构建非均匀虚拟阵列的失配处理贝叶斯学习方法,最大限度扩展了测向自由度的同时,降低了网格失配对DOA估计精度的影响。首先,对平行互质阵列进行垂直方向扩展构建了双平行互质阵列;其次,进行了非均匀虚拟阵列扩展,利用稀疏贝叶斯学习进行稀疏重构;然后,利用到达角相邻网格的能量关系,通过泰勒展开,进行了低复杂度的失配处理;最后,提出剔除规则和选择规则,融合两个方向子阵的估计结果。理论分析和仿真实验证明了所提阵列和DOA估计方法的有效性。

In order to gain high accuracy of two dimensional direction of arrival （2D-DOA） estimation based on co-prime structure,double parallel co-prime array is designed and an off-grid process sparse Bayesian learn-ing algorithm is proposed through non-uniform virtual array. In this way, degrees-of-freedom is extended and off-grid influence on 2D-DOA estimation accuracy is reduced at the same time. Firstly, the double parallel co-prime array is built by vertical extension on the parallel co-prime array. Secondly, a non-uniform virtual array is developed and the sparse Bayesian learning algorithm is utilized to reconstruct signals. In addition,the energy relationship of the true DOA＇s two nearest grids is utilized to conduct a low computational complexity off-grid process through Taylor expansion. Finally＇ the elimination rule and the selection rule are proposed to fuse esti-mation results of the two direction parallel co-prime array. Theoretical analysis and simulation results show the validity of the proposed array and DOA estimation method is proved through.