发射站/接收站位置误差下无源雷达DOA-TDOA目标定位算法

无源雷达中发射站和接收站位置误差的存在将显著降低目标定位精度。针对这一问题,将发射站和接收站位置误差考虑到基于波达方向和到达时差的无源雷达目标定位模型中,提出了一种目标位置代数解算法。首先,将波达方向和到达时差的测量方程线性化,考虑方程中的各项误差,采用加权最小二乘估计求解,并通过对加权矩阵的迭代更新,得到目标位置最优估计。推导了存在发射站和接收站位置误差条件下目标定位的克拉美罗下界,并从理论上证明了算法的定位精度可以达到克拉美罗下界。仿真结果表明,算法的定位精度优于现有算法,在发射站和接收站位置误差条件下定位精度仍能达到克拉美罗下界。

Target localization algorithm from DOA-TDOA measurements in passive radar with transmitter and receiver position errors

In the passive radar system, the existence of transmitter and receiver position errors will significantly reduce the target localization accuracy. In this paper, the transmitter and receiver position errors are considered in the passive rodar target localization model based on direction of arrival (DOA) and time difference of arrival (TDOA) measurements. An algebraic solution is proposed for target position estimation. Firstly, the DOA and TDOA measurement equations are linearized, and then by considering the errors in the location equations, the weighted least squares estimation is employed to solve the equations. By iteratively updating the weighted matrix, the optimum estimation of the target position can be obtained. The Cramer-Rao lower bound (CRLB) for DOA-TDOA-based target localization with transmitter and receiver position errors is derived, and the theoretical localization accuracy is shown analytically to achieve the CRLB. Simulation results demonstrate that the proposed solution outperforms existing algorithms in terms of localization accuracy, and achieves the CRLB even in the presence of transmitter and receiver position errors.