位置误差条件下多运动站无源跟踪PCRLB  

PCRLB for multiple moving observers passive tracking in the presence of observer position error

作　　者：徐征[1] 曲长文[1] 李炳荣[1] 王昌海[1] 

机构地区：[1]海军航空工程学院电子信息工程系,山东烟台264001

出　　处：《控制与决策》2013年第9期1409-1413,1418,共6页Control and Decision

基　　金：航空电子系统综合技术重点实验室和航空科学基金联合资助项目(20105584004)

摘　　要：在无源跟踪中通常假设目标运动模型为离散白噪声加速度模型,此时状态协方差矩阵奇异,通用的后验克拉美罗限(PCRLB)求解方法失效.另外,观测站位置误差可能对目标无源跟踪性能带来较大影响.对此,首先将状态变量分成非奇异的位置和速度两部分;然后通过构造中间向量得到PCRLB的通用表达式,进而推导了观测站存在位置误差时的PCRLB;最后以多运动站只测角跟踪为例对PCRLB进行了仿真分析,结果表明,所推导的PCRLB计算式可为算法设计提供理论指导.The discrete white noise acceleration model is often adopted to describe the target＇s motion model,while the state covariance is singularity,which results in the inactivation of the commonly used method for the calculation of posterior Cram′er-rao lower bound（PCRLB）.Besides,the observer position error may have great effect on the target tracking performance.Therefore,firstly,the state vector is divided into a position part and a velocity part,which has nonsingularity covariance respectively.Then,the common expression is got through constructing proper intermediate vectors and the PCRLB in the presence of observer position error is derived.Finally,simulations and analysis are done with respect to the multiple moving observers bearings-only passive tracking.

关 键 词：无源跟踪 位置误差 奇异 后验克拉美罗限 

分 类 号：TN958.97[电子电信—信号与信息处理]