基于均匀圆阵模式空间和多重旋转不变子空间算法的完备二维DOA估计算法

Closed-form 2-D DOA estimation based on mode-space of uniform circular arrays and multiple invariance ESPRIT

为了在低运算量下提高均匀圆阵中二维测角的精度,提出一种基于圆阵模式空间和多重旋转不变子空间算法的二维波达方向估计算法。首先利用模式空间算法将均匀圆阵等效为虚拟均匀线阵,并利用贝塞尔函数的递推性质推导此种情况下阵列的旋转不变特性。然后根据虚拟线阵的结构提出一种简便有效的子阵划分办法,在此基础上得出阵列的多重旋转不变方程,并利用多重最小二乘准则得出其完备解,从而完成对信号二维到达角的估计,仿真实验验证了算法的有效性。

In order to improve the two dimensional（2-D）angle measurement precision of uniform circular array（UCA）with low computational complexity,a 2-D direction of arrival（DOA）estimation algorithm is proposed and the algorithm is based on the mode-space algorithm and multiple invariance estimation of signal parameters via rotation invariant technique（MI-ESPRIT）.Firstly,the UCA is equalized to a virtual uniform liner array（ULA）via the mode-space algorithm,and the rotational invariance of the ULA is obtained using the recursive nature of Bessel functions.Then a simple and effective subarray dividing approach is proposed and the multiple rotation invariant equation of the array is obtained.Finally,the closed-form solution of the equation is obtained using multi-least-square（MLS）criterion so that the 2-D DOA estimation is completed.The simulation results verify the effectiveness of the proposed algorithm.