一种基于修正数据矩阵的广义波达方向矩阵方法

The Generalized DOA Matrix Method Based on Modified Data Matrix

该文提出了一种基于平面阵的相干信号二维DOA估计算法,文中先将平面阵分为3个具有旋转不变性的子阵列,并分别构造了3个子阵列的数据矩阵,结合这3个数据矩阵,构造了两种修正数据矩阵,提高了阵元利用率。然后仿照波达方向矩阵的构造方法,得到了一种广义波达方向矩阵。通过理论分析证明了对该矩阵进行特征分解,就可以获得信号的方向矢量和信号方向元素,从而能够进行相干信号的二维DOA估计,并且避免了谱峰搜索,减少了运算量,仿真结果验证了该算法的有效性和精确性。

A 2-D DOA estimation algorithm for coherent signal is presented based on plane array in this paper, firstly the plane array is divided into three sub-arrays with the nature of rotational invariance and three kinds of data matrix is formed for each of the three sub-arrays, based on which two kinds of modified data matrix is formed for raising the array utilization ratio. Then it imitates the DOA matrix method, obtains the generalized DOA matrix. Theoretical analysis shows that signal direction vectors and signal direction elements can be obtained via the eigen-decomposition of the generalized DOA matrix. Thus the coherent signal 2-D DOA can be estimated. This method avoids the parameter pairing and the spectrum peak searching, reduces the computation quantity. The computer simulation confirms the validity and the accuracy of this algorithm.