北京航空航天大学学报 ›› 2015, Vol. 41 ›› Issue (7): 1307-1312.doi: 10.13700/j.bh.1001-5965.2014.0536

• 论文 • 上一篇    下一篇

基于POD曲线的预警机雷达检飞概率模型

王晗, 马小兵, 赵宇   

  1. 北京航空航天大学 可靠性与系统工程学院, 北京 100191
  • 收稿日期:2014-08-30 修回日期:2014-12-05 出版日期:2015-07-20 发布日期:2015-07-30
  • 通讯作者: 马小兵(1978—),男,陕西铜川人,高级工程师,maxiaobing@buaa.edu.cn,主要研究方向为可靠性工程. E-mail:maxiaobing@buaa.edu.cn
  • 作者简介:王晗(1992—),男,辽宁沈阳人,硕士研究生,wh216buaa@163.com
  • 基金资助:
    国家自然科学基金(61104133)

Probability model for early warning aircraft radar flight test based on probability of detection curve

WANG Han, MA Xiaobing, ZHAO Yu   

  1. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2014-08-30 Revised:2014-12-05 Online:2015-07-20 Published:2015-07-30

摘要: 针对预警机雷达检飞试验中距离取样间隔及检飞航线边界条件的确定问题,以保证发现概率(POD)曲线的覆盖率与精确性为目标,提出基于POD曲线的预警机雷达检飞概率模型.首先,根据POD曲线的覆盖率和精确性要求确定检飞试验拟合曲线所需的采样点数.然后,根据POD曲线的经验分布函数建立检飞试验中最小探测距离和最大探测距离的计算方法,并由此确定检飞航线上距离取样间隔的长度.最后,根据发现概率的统计特性得到距离取样间隔内采样点数以及航次数等试验参数,为雷达检飞试验设计与预警性能评定提供定量依据.

关键词: 雷达检飞, 发现概率曲线, 距离取样间隔, 采样点数, 航次数

Abstract: A novel probability model was proposed to ensure the coverage rate and the accuracy of probability of detection (POD) curve in early warning aircraft radar flight test, which can also provide the distance sampling intervals and boundary conditions of flight routes. Firstly, we derived the optimal number of sampling points used for curve-fitting after the test based on the requirements of the coverage rate and the accuracy of POD curve. Then, an algorithm was proposed based on the empirical distribution function of POD curve, which could calculate the minimum and maximum detection distance of early warning aircraft radar flight test. Simultaneously, the length of distance sampling intervals was obtained on the basis of the algorithm. Finally, we calculated the number of sampling points in distance sampling intervals and the number of flights according to the statistical properties of the detection probability. The proposed model provides a quantitative basis for the design of radar flight test and the performance evaluation of early warning.

Key words: radar flight test, probability of detection curve, distance sampling interval, sampling points, number of flights

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