This paper analyzes the effect of error correlation on the SISRE bounding for GPS and Galileo satellites. For a given period of data collection, it computes the effective number of independent samples contained in a dataset applying an estimation variance analyses. Results show that the time between effective independent samples is highly dependent on the constellation and onboard clock type. On one hand, GPS satellites equipped with Rubidium clocks exhibit significantly longer error correlation than those with onboard Cesium clocks. On the other hand, Galileo satellites show substantially shorter correlation time among samples with less variability on a monthly basis. This paper also introduces a methodology to compute SISRE bounding accounting for the limited number of independent samples. Using a Bayesian approach, it computes the so‐called uncertainty factor by which the Gaussian distribution needs to be inflated in order to account for the observation data independence.

中文翻译：

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样本相关性对ARAIM的SISRE超限的影响

本文分析了误差相关性对GPS和Galileo卫星的SISRE边界的影响。对于给定的数据收集时间段，它使用估计方差分析来计算数据集中包含的独立样本的有效数量。结果表明，有效独立样本之间的时间高度依赖于星座图和机载时钟类型。一方面，配备Rub时钟的GPS卫星比配备铯钟的GPS卫星具有更长的误差相关性。另一方面，伽利略卫星显示的样本之间的相关时间大大缩短，每月的变化性较小。本文还介绍了一种计算有限数量的独立样本的SISRE边界的方法。使用贝叶斯方法