航空学报 > 2009, Vol. 30 Issue (2): 298-304

测向交叉定位系统中的最优交会角研究

白晶,王国宏,王娜,徐海全   

  1. 海军航空工程学院 信息融合技术研究所
  • 收稿日期:2007-11-06 修回日期:2008-03-06 出版日期:2009-02-15 发布日期:2009-02-15
  • 通讯作者: 白晶

Study on Optimum Cut Angles in Bearing-only Location Systems

Bai Jing, Wang Guohong, Wang Na, Xu Haiquan   

  1. Research Institute of Information Fusion, Naval Aeronautical and Astronautical University
  • Received:2007-11-06 Revised:2008-03-06 Online:2009-02-15 Published:2009-02-15
  • Contact: Bai Jing

摘要:

研究了测向交叉定位系统中的最优交会角问题。在目标到两部被动传感器基线之间的垂直距离不同的情况下和最小圆概率误差(CEP)准则下,得出了一些有意义的结论。研究表明,最优交会角跟目标到两部传感器基线的垂直距离与基线长度的比值l有关。当l≥√3/6时,只存在一个最优交会角且此时目标与两部被动传感器呈等腰三角形,并在此情况下分析了l的变化对圆概率误差的影响。当l<√3/6时,存在两个相等的最优交会角。得出的结论在多个被动传感器的优化配置进而提高目标定位精度方面具有一定的理论和实际意义。

关键词: 传感器, 概率, 拉格朗日乘子, 导数, 计算机仿真, 最优交会角

Abstract:

This article is concerned with the optimum cut angle in bearing-only location systems. By applying the criterion of minimum circular error probability (CEP) to the condition of different vertical distances between the target and the baseline of two passive sensors, some useful conclusions concerning the optimum cut angle are obtained. The optimum cut angle is dependent on l, the ratio of the vertical distance to the baseline length. If  l is greater than or equal to √3/6, there is one optimum cut angle and the deployment of the target and the two passive sensors should be an isosceles triangle with the baseline length as its base side. The relationship between the ratio l and the CEP is investigated too. If l is less than √3/6, there are two identical optimum cut angles. These conclusions can be used for reference in optimal deployment of multiple passive sensors to obtain high location accuracy.

Key words: sensor, probability, Lagrange multipliers, derivatives, computer simulation, optimum cut angle

中图分类号: