双平行线阵中基于Euler变换传播算子的二维DOA估计算法

Two-Dimensional DOA Estimation Algorithm for Two Parallel Linear Arrays via Euler Transformation and Propagator Method

考虑双平行线阵中非圆信号二维波达方向(Direction of arrival,DOA)估计问题,提出了一种基于Euler变换传播算子(Propagator method,PM)的二维DOA估计算法。该算法利用非圆信号的特性,扩展了接收数据矩阵,使得角度估计性能优于二维PM算法。同时采用Euler变换把非圆PM算法中的复数运算转换为实数运算,降低计算复杂度,角度估计性能逼近非圆PM算法。该算法可以实现二维角度的自动配对,与传统PM算法相比,可同时估计出更多的信源。该算法的优越性均可在文中得到验证。

The problem of two-dimensional（2-D）direction of arrival（DOA）estimation is disaussed for two parallel linear arrays,and an algorithm using Euler transformation and propagator method（PM）is proposed.The algorithm uses the characteristics of noncircular signals to expand the received data matrix,and it has better DOA estimation performance than the 2-D propagator method（PM）.At the same time,the algorithm,which uses the Euler transformation to convert complex arithmetic of noncircularPM to real arithmetic,reduces computational complexity,and its estimation performance is close to noncircular-PM algorithm performance.The proposed algorithm can obtain automatically-paired 2-D DOA estimation.Compared with conventional 2-D PM,it can estimate more sources.Simulation results verify the usefulness of the proposed algorithm.