The requirement for ARAIM continuity risk due to the monitor false alarm has been outlined in earlier works for ARAIM development (WG-C in ARAIM technical subgroup milestone 3 report, 2016). However, the expected continuity risk comes from an underlying conservative assumption that the correlation between multiple monitors for fault detection is negligible. Thus, we investigate the effect of the cross-correlation across ARAIM solution separation tests on the monitor false alarm probability (\(P_{\text{FA}}\)) by presenting a higher fidelity methodology to evaluate the \(P_{\text{FA}}\) based on highly correlated fault detection tests. We carry out a preliminary assessment of ARAIM false alarm performance by using the proposed method. It was found that considering the cross-correlation among monitor test statistics reduces the predicted \(P_{\text{FA}}\) by up to approximately 50% of the predefined requirement (e.g., \(10^{ - 6}\)) when triple satellite faults were considered. Despite such improvement, the baseline ARAIM implementation does not appear to be overly conservative.

中文翻译：

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ARAIM测试统计量对虚警风险的互相关影响

在早期开发ARAIM的工作中已经概述了由于监视器错误警报导致的ARAIM连续性风险要求（WG-C在ARAIM技术小组里程碑3报告中，2016年）。但是，预期的连续性风险来自一个基本的保守假设，即用于故障检测的多个监视器之间的相关性可以忽略。因此，我们通过提出一种更高的保真度方法来评估\ {P _ {\，我们调查了ARAIM解决方案分离测试之间的互相关对监视器误报概率（\（P _ {\ text {FA}} \））的影响。文字{FA}} \）基于高度相关的故障检测测试。我们使用所提出的方法对ARAIM误报性能进行了初步评估。结果发现，考虑到监控器测试统计数据之间的互相关性，预测的\（P _ {\ text {FA}} \）最多降低了预定义要求的50％（例如，\（10 ^ {-6} \ ））考虑了三重卫星故障。尽管有这样的改进，但基线ARAIM实施似乎并不过于保守。