基于集中式MIMO雷达的多目标跟踪功率分配优化算法

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。

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

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.