非参数秩和检测器的性能分析

Performance Analysis of Rank Sum Nonparametric Detector

由于非参数恒虚警检测方法的虚警概率具有不依赖于杂波分布类型,且易于工程实现的特点,在雷达系统中人们常采用非参数方法进行目标的检测。该文假定杂波服从韦布尔分布、目标模型为Swerling II型,采用解析方法分析了非参数秩和(Rank Sum,RS)检测器在均匀背景和多目标情况下的检测性能,给出了RS检测器在韦布尔分布时均匀背景和多目标情况下检测概率的闭式解,所得出的结论对于雷达目标检测器的设计具有一定的理论指导和实际应用价值。

The nonparametric detection methods for radar target are extensively used in radar system, due to the fact that they can ensure Constant False Alarm Rate （CFAR） for a wide class of input noise distributions and can be easily implemented. In this paper, the detection performance of the Rank Sum （RS） nonparametric detector is investigated analytically for homogeneous background and multiple targets situation, with an assumption of Weibull distributed clutter, for a Swerling II targets model. The mathematical models of detection probability for the RS detector in homogeneous background and multiple targets situation under Weibull assumption are derived. The obtained results show some theoretical and practical values for the design of a radar target detector.