一种针对多目标跟踪的多基雷达系统聚类与功率联合分配算法
doi: 10.3724/SP.J.1146.2012.01470
Joint Cluster and Power Allocation Algorithm for Multiple Targets Tracking in Multistatic Radar Systems
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摘要: 为了使多基雷达系统(MSRS)能动态地协调各部雷达的发射参数及其所获得的量测的使用,进而在系统资源有限的约束下达到更好的性能,该文提出一种针对多目标跟踪的MSRS聚类与功率联合分配算法。首先,该文推导了目标跟踪误差的贝叶斯克拉美罗下界(BCRLB)。然后,以最小化多目标总体跟踪误差的BCRLB为目标,建立了包含聚类方式和发射功率两个优化变量的代价函数,并用循环最小化算法和投影梯度算法对这个双变量优化问题进行了求解。最后,通过仿真实验验证了提出算法的有效性。Abstract: This paper proposes a joint cluster and power allocation algorithm for multiple targets tracking in multistatic radar system. By selecting an optimal subset of radars with predetermined size to cluster around each target and implementing the power allocation strategy among those selected radars, this algorithm can achieves better performance under the resource constraints. Firstly, the Bayesian Cramer Rao Lower Bound (BCRLB) is derived. Then, a criterion minimizing the total BCRLB on the mean square error in multiple targets tracking is derived, and the corresponding optimization problem with two independent vectors is solved by cyclic minimization algorithm incorporating gradient projection method. Finally, the validity of the proposed method is demonstrated with the simulation results.
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