Overbounding Risk for Quadratic Monitors With Arbitrary Noise Distributions
Overbounding Risk for Quadratic Monitors With Arbitrary Noise Distributions
复制标题
具有任意噪声分布的二次监视器的过度风险
DOI：
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发表时间：
2018
影响因子：
4.4
通讯作者：
J. Rife
中科院分区：
文献类型：
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作者：
J. Rife
本文将方程式推导为二次监视器的绑定的错过检测和错误的警报概率，但具有不确定的非高斯概率密度函数（PDF）的矢量噪声。边界方程式提供了实用性，以验证生活安全性导航系统，从鲁棒和计算效率方面。实现鲁棒性是因为噪声PDF不必精确地知道，只要PDF可以适当地包围。计算效率是通过将非高斯PDF转换为高斯形式来实现的，该形式有助于在许多故障场景中进行快速，重复的评估。
This paper derives equations to bound missed-detection and false-alarm probabilities for a quadratic monitor subject to vector noise with an uncertain, non-Gaussian probability density function (PDF). The bounding equation offers utility for the verification of safety-of-life navigation systems, in terms of both robustness and computational efficiency. Robustness is achieved in that the noise PDF need not be known precisely, so long as the PDF can be appropriately bracketed. Computational efficiency is achieved by transforming non-Gaussian PDFs into a Gaussian form that contributes to fast, repeated evaluations across a great many fault scenarios.