基于集中式MIMO雷达的多目标跟踪功率分配优化算法

Multiple Targets Tracking Power Allocation Optimization Algorithm Based on Collocated MIMO Radar

针对集中式MIMO雷达对多个运动目标进行跟踪的问题,提出一种基于后验克拉美罗下界的功率分配方法。首先给出了多个运动目标定位误差的后验克拉美罗下界,并将其作为代价函数进行优化,从而将雷达功率分配转化为求解凸优化问题;然后,运用SDP算法对该凸优化问题进行处理,将其转化为SDP问题并求解,从而实现对雷达功率的优化分配;最后,通过仿真验证了算法的有效性。结果表明,与功率平均分配和一种基于最大信噪比的贪婪算法相比,该功率优化分配方法能明显提高目标跟踪精度。

In view of collocated MIMO radar tracking multiple moving targets,this paper proposes a power allocation method based on the Posterior Cramer-Rao Lower Bound(PCRLB).In this method,firstly,the PCRLB of multiple moving targets localization localization errors is given as a cost function for power allocation.Thus,the radar power allocation is transformed into a convex optimization problem.Then,the SDP algorithm is used to deal with the convex optimization problem to transform it into a SDP problem and solve,realizing the optimal allocation of radar power.Finally,the validity of the proposed algorithm is verified by simulation.The results show that compared with the average power distribution and a greedy algorithm based on maximum SNR,the tracking accuracy of the target is obviously improved by the optimal power distribution method.