非瑞利杂波中两种非参量检测器的渐近性能

Asymptotic Performance of Two Nonparametric Detectors in Non-Rayleigh Clutter

选择韦伯分布和对数正态分布为两种非瑞利杂波模型,推导广义符号(GS)和Mann-Whitney(MW)检测器相对于最佳线性参量检测器的渐近相对效率(ARE)的计算公式.采用Monte Carlo和Simpson数值积分方法对ARE进行仿真.结果表明,GS和MW的渐近相对效率随着杂波偏离瑞利分布程度的加强而增加;检测器在对数正态分布杂波中的渐近性能优于韦伯杂波;在相同条件下,MW检测器的渐近性能优于GS检测器.

The clutter is assumed to be of Weibull distribution or characterized by a log-normal distribution. It is presented that a detailed derivation of the formula about asymptotic relative efflciencies（ARE） of generalized sign test and Mann-Whitney detector are compared with optimum linear parametric detector. ARE is simulated by Monte Carlo simulation and Simpson numerical integral. The result shows that the two nonparametric detectors＇ ARE increase appreciably as the clutter distribution deviates from Rayleigh. The asymptotic performance is better in log-normal clutter than in Weibull clutter. In the same case, the asymptotic performance of MW is greater than that of GS detector.