Impact of Sample Correlation on SISRE Overbound for ARAIM

Santiago Perea, Micheal Meurer, Boris Pervan

Peer Reviewed

Abstract: 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 longer error correlation that those with onboard Cesium clocks (50-60 hours versus 5-6 hours). On the other hand, Galileo satellites show a significantly shorter correlation among samples with less variability on a monthly basis (2.5- 3.5 hours for PHM-equipped satellites versus 4-5 hours for RAFS clocks). 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 inflation factor that a Gaussian overbound needs to be expanded with in order to account for the uncertainty within the observation data.
Published in: Proceedings of the 31st International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2018)
September 24 - 28, 2018
Hyatt Regency Miami
Miami, Florida
Pages: 2567 - 2582
Cite this article: Perea, Santiago, Meurer, Micheal, Pervan, Boris, "Impact of Sample Correlation on SISRE Overbound for ARAIM," Proceedings of the 31st International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2018), Miami, Florida, September 2018, pp. 2567-2582.
https://doi.org/10.33012/2018.16025
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