无源交叉定位系统中的最优交会角  

Optimum Cut Angle in Passive Cross Positioning System

作　　者：白晶[1] 马燕飞[2] 

机构地区：[1]中国电子科技集团公司第五十四研究所 [2]中国人民解放军93558部队

出　　处：《无线电通信技术》2015年第1期31-34,共4页Radio Communications Technology

基　　金：国家自然科学基金项目(61002006)

摘　　要：研究了由具有不同角度量测精度的被动传感器组成的无源交叉定位系统中的最优交会角问题。在最小圆概率误差准则下得到了满足极值性条件的稳定点,讨论了最优交会角的充分条件。通过数学推导得出,在最小圆概率误差准则下最优交会角与传感器间的测角误差方差倍数k有关。当k≤0.5时不存在可行的最优交会角,且目标越接近误差较大的传感器时对应的圆概率误差越小;当k>0.5时,存在可行的最优交会角且其值随着k的增大而增大,当2部传感器的测角精度相等时达到最大值。The optimum cut angle in passive cross positioning system with passive sensors,which have different measurement errors,is studied. First,the stationary point is derived in the sense of minimum CEP（ circular error probability） criterion. Then,the sufficient condition for optimum cut angle is discussed. It is found through mathematical calculation that under the minimum CEP criterion,the optimum cut angle is relevant to k,the ratio of the smaller angle measurement variance to the larger angle measurement variance.When k is smaller than or equal to 0. 5,the feasible optimum cut angle does not exist and the CEP gets small when the target is close to the sensor which has larger angle measurement error; when k is greater than 0. 5,the optimum cut angle can be obtained and gets large when the ratio k increases and the maximum optimum cut angle is reached when two sensors have identical angle measurement errors.

关 键 词：无源交叉定位系统 圆概率误差 交会角 极值点 

分 类 号：TN957[电子电信—信号与信息处理]