一种防空服务质量模型下的集中式多输入多输出雷达三维机动跟踪功率分配方法

A Power Allocation Method for Three-dimensional Maneuvering Tracking of Colocated MIMO Radar Based on Air Defense QoS Model

针对防空作战中现有多功能雷达功率资源利用率低的问题,提出一种基于服务质量(Quanlity of Service,QoS)模型的三维机动跟踪功率分配方法以差异化标准提升多目标跟踪性能。将目标三维机动模型建立为自适应当前统计模型,通过将加速度协方差与估计误差协方差矩阵相关联以实现自适应调整。在此基础上,对三维跟踪下的贝叶斯克拉美罗下界进行推导,并将其作为跟踪误差衡量指标。通过构建关于目标威胁度与期望跟踪精度的函数关系,建立防空QoS模型下的闭环功率优化分配机制。证明所构建功率优化分配模型是凸优化问题,并进一步转化为半正定规划问题进行求解。仿真结果表明,相对于传统功率分配方法,所提方法能显著提高全局跟踪效能。

Aiming at the problem of low power resource utilization for multi-function radar in air defense operation,this paper proposes a power allocation method for three-dimensional maneuvering tracking based on the quality of service(QoS)model,which achieves the improvement in multiple target tracking(MTT)performance with differentiated standards.The target three-dimensional maneuvering model is established as an adaptive current statistical(ACS)model,and the adaptive adjustment is achieved by associating the acceleration covariance with the estimation error covariance matrix.On this basis,the Bayesian Cramér-Rao lower bound(BCRLB)under three-dimensional tracking is derived and utilized as a criterion of tracking error.Subsequently,a closed-loop power optimization allocation mechanism under the air defense QoS model is established by constructing a functional relationship between the target threat degree and the expected tracking accuracy.In the last,it is proved that the formulated power optimal allocation model is a convex optimization problem,which is further transformed into a semi-definite programming(SDP)problem for solving.Simulated results show that the proposed method can significantly improve the global tracking performance compared with the traditional power allocation methods.