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本文利用解析方法和Monte-Carlo模拟方法!证明了在Weibull噪声中秩二进积累检测器小样本最佳门限的存在,计算了小样本最佳门限系数的近似值,并总结了它的变化规律。对秩和检测器,秩二进积累检测器(具有最佳门限)和线性检测器在Weibull噪声中的性能进行了分析、计算。最后给出了这三种检测器的详细性能曲线,说明在Weibull噪声形状系数较小,信号/噪声中位数较低时,秩检测器(本文指秩和检测器和秩二进积累检测器两者)此线性检测器有效,而秩二进积累检测器比秩和检测器有效。
In this paper, the analytical method and the Monte-Carlo simulation method are used to prove the existence of the optimal threshold for the small sample of rank-two accumulation detector in Weibull noise. The approximate value of the optimal threshold coefficient of the small sample is calculated and its variation rule is summarized. The performance of the rank sum detector, rank binary accumulation detector (with optimal threshold) and linear detector in Weibull noise was analyzed and calculated. Finally, the detailed performance curves of these three detectors are given, which shows that when the Weibull noise shape coefficient is small and the signal / noise median is low, the rank detector (in this paper, the rank sum detector and the rank binary accumulation detector Both) This linear detector is valid, whereas the rank binary-sum detector is more efficient than the rank-sum detector.