长航迹稳定跟踪的雷达功率分配算法

A Radar Power Allocation Algorithm to Track Stably for a Long Track

  • 摘要: 分布式组网雷达系统在处理跟踪任务时,低信噪比会导致目标检测概率小于1,进而可能导致目标航迹中断。为此,提出了一种长航迹稳定跟踪的分布式组网雷达功率分配算法,通过对雷达系统功率资源的优化配置,同时保证了航迹连续性与良好的系统跟踪性能。首先建立了分布式雷达回波信号及量测模型,然后推导了不确定性量测下的贝叶斯克拉美罗界(BCRLB),进而建立了功率分配问题数学模型。该优化问题中包含复杂非凸约束,为了对其进行高效求解,最后提出了一种基于凸优化的自约束功率分配(SCPA)算法。仿真结果表明,所提SCPA算法可以保证跟踪全阶段所有目标航迹不中断,并保持良好的跟踪性能。

     

    Abstract: In the tracking task of distributed radar networks, low signal-to-noise ratio will lead to detection probability of the target less than 1, which may lead to the interruption of target track. This paper proposes a power allocation algorithm for distributed radar networks to track stably for a long track. The track continuity and the tracking performance of the system are both guaranteed by optimizing the power allocation for radar nodes. First, signal and measurement models of distributed radar are established. Then, the Bayesian Cramér-Rao lower bound (BCRLB) under uncertainty measurements is derived, and a mathematical model of the power allocation problem is established. To efficiently solve the optimization problem which contains complex non-convex constraints, a self-constrained power allocation (SCPA) algorithm based on convex optimization is proposed. The simulation results show that the proposed SCPA algorithm can ensure that all target tracks are not interrupted in the whole tracking process, while keeping good tracking performance.

     

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