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