Assessing the Impact of Time Correlation Uncertainty on Cycle Ambiguity Resolution for High Integrity Aviation Applications

Steven Langel, Samer Khanafseh and Boris Pervan

Abstract: This paper provides two algorithms to upper bound integrity risk in carrier phase differential GPS navigation systems that utilize cycle resolution. The measurement and process noise autocorrelation functions are known to lie between two specified functions but their precise mathematical nature is unknown. In previous work, an algorithm was developed to compute upper bounds on the integrity risk associated with a scalar linear combination of the estimate error vector given this bounded uncertainty structure. However, those algorithms are only applicable to floating carrier phase navigation systems. When cycle resolution is required, it becomes necessary to simultaneously consider the probability of correct ambiguity resolution. The performance of these two algorithms will be demonstrated for the benchmark application of autonomous shipboard landing.
Published in: Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012)
September 17 - 21, 2012
Nashville Convention Center, Nashville, Tennessee
Nashville, TN
Pages: 89 - 97
Cite this article: Langel, Steven, Khanafseh, Samer, Pervan, Boris, "Assessing the Impact of Time Correlation Uncertainty on Cycle Ambiguity Resolution for High Integrity Aviation Applications," Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012), Nashville, TN, September 2012, pp. 89-97.
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