Threat-driven Resource Allocation Algorithm for Distributed Netted Phased Array Radars
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摘要: 针对分布式组网相控阵雷达多目标跟踪(MTT)场景,该文提出一种目标动态威胁度驱动的波束分配与驻留时间联合优化算法。首先,在采用分布式组网架构的基础上,推导包含波束和驻留时间分配的贝叶斯克拉美罗界(BCRLB)。其次,基于目标实时运动状态构建综合威胁度评估尺度,按照威胁度为不同目标设计基于跟踪精度参考门限和贡献度的效用函数,以此衡量资源在多目标间的优先分配关系。随后,将该效用函数结合组网相控阵雷达系统资源,建立了目标动态威胁度驱动的波束分配与驻留时间联合优化模型。最后,采用一种基于奖励的迭代下降搜索算法进行求解。仿真结果表明,相较于平均资源分配方法,所提算法具备对若干差异性目标的跟踪精度需求感知能力,能够在基于多目标威胁度评估的基础上,有针对性地分配跟踪资源,从而有效提高组网相控阵雷达面对不同威胁度目标时的综合跟踪精度。Abstract: For the Multi-Target Tracking (MTT) of distributed netted phased array radars, this paper proposes a joint beam and dwell time allocation algorithm driven by dynamic threats. First, a Bayesian Cramer-Rao Lower Bound (BCRLB), including beam and dwell time allocation, is derived. Then, a comprehensive threat evaluation scale is constructed based on the real-time motion state of the target, and a utility function based on the tracking accuracy reference threshold and contributed weights is designed for targets with different threats to measure the relationship of resource allocation prioritization among multiple targets. Afterward, an optimal distribution model of the joint beam and the dwell time driven by the dynamic threat of the target is established; the utility function is combined with the resources of the netted phased array radar system. Finally, the problem is solved using a reward-based iterative descent search algorithm, and the effectiveness of the algorithm is verified via simulation. The simulation results show that the proposed algorithm can determine the tracking accuracy requirements of different targets and allocate tracking resources based on the multi-target threat assessment results, thereby improving the comprehensive tracking accuracy of networked phased array radars.
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表 1 目标初始运动状态及其相对组网雷达中心的运动参数
Table 1. Initial motion states of targets and their motion parameters relative to the center of the netted radar system
目标标号 目标位置(km) 目标速度(km/s) 相对距离(km) 绝对速度(km/s) 航向角(°) 1 (23, 50) (–0.01, –0.17) 40.11 0.17 0.92 2 (2.5, 40.3) (0.08, –0.14) 34.99 0.16 0.26 3 (17, 60) (0.02, –0.34) 50.09 0.34 0.07 4 (30, 53) (0.12, –0.16) 44.15 0.20 49.96 -
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