NIE Wei-ke, XU Kai-jie, NIU Jin-ping, et al. Two dimensional direction of arrival estimation algorithm based on multiple symmetric virtual transformation[J]. 2019, (2): 121-124.
NIE Wei-ke, XU Kai-jie, NIU Jin-ping, et al. Two dimensional direction of arrival estimation algorithm based on multiple symmetric virtual transformation[J]. 2019, (2): 121-124. DOI: 10.13873/j.1000-9787(2019)02-0121-04.
基于多对称虚拟变换的二维波达方向估计算法
摘要
提出一种多对称虚拟变换二维波达方向估计算法
通过对阵列进行多对称虚拟变换
得到多个分别关于原阵列对称的虚拟阵列
进而构造虚实平移不变子阵。利用该平移不变虚拟子阵的旋转不变因子
获得信号源的俯仰角
经多信号分类(MUSIC)一维搜索获得信号源方位角
方位角和俯仰角可自动配对。由于使用了各虚拟变换阵列的累加数据
累加运算使得各虚拟阵列数据的正负误差相互抵消
显著降低了虚拟变换矩阵导致的虚拟阵列和真实阵列之间的数据误差
提高了二维波达方向的估计精度。仿真实验研究了所提算法在信噪比、快拍数变化情况下
二维波达方向估计的均方根误差和成功率性能
证明了所提算法的有效性。
Abstract
A new two dimensional direction of arrival estimation algorithm based on multiple symmetric virtual transformation is proposed. Multiple symmetric virtual transformation is used to get several virtual arrays which are symmetric to the original array
and further construct translation invariant virtual-real sub-arrays. The rotation invariant factor can be used to get the pitch angle of signal source
from which the corresponding azimuth angle can be obtained by MUSIC one dimensional search
and the azimuth and pitch angle are paired automatically. By using the cumulative data of each virtual transformation array
the positive and negative error of each virtual array data can be eliminated
which can significantly reduce the data error between the virtual array and the real array
hence the estimated precision is obviously improved. Simulation experiments analyze on root mean square errors( RMSE)and performance of success rate of the proposed algorithm in case of variation of signal to noise ratio( SNR) and snapshot
the results show the effectiveness of the proposed algorithm.