一种新的分布式MIMO雷达系统运动目标定位代数解算法

New Algebraic Algorithm for Moving Target Localization in Distributed MIMO Radar Systems

该文针对分布式MIMO雷达系统中的运动目标定位问题,以双基地距离(BR)及其变化率(BRR)作为观测量,提出一种基于多步加权最小二乘的代数解算法。算法共需要3步加权最小二乘估计。首先,在第1步加权最小二乘估计中,通过选取适当的辅助参数,将非线性的BR和BRR的观测方程进行伪线性化处理,从而得到目标位置和速度的粗略解;而后在后两步加权最小二乘估计中,利用目标位置参数和辅助参数之间的约束关系构建方程,从而得到目标位置和速度的精确估计。最后,推导了算法的理论误差,从理论上证明了算法可以达到克拉美罗界。在仿真实验中,将所提算法与现有算法进行了对比,验证了算法的优越性。

To solve the moving target localization problem in distributed MIMO radar systems, with the Bistatic Range（BR） and Bistatic Range Rate（BRR） used as the measurements, an algebraic algorithm based on multistage Weighted Least Squares（WLS） is proposed. The proposed algorithm needs three WLS stages. In the first WLS stage, by introducing proper additional parameters, the BR and BRR measurement equations are linearized, and weighted least square estimator is used to produce a rough estimate of target position and velocity. Then in the latter two WLS stages, the relation between the target location parameters and additional parameters is utilized to refine the estimate. Finally, the theoretical error of the proposed algorithm is derived, and it is proved that the theoretical error attains the Cramer-Rao Lower Bound. Simulation results indicate that the proposed algorithm achieves a significant performance improvement over the existing algorithms.