Overbounding False-Alarm Probability for a Chi-Square Monitor with Natural Biases

Jason H. Rife

Abstract:	This paper presents methods for overbounding the falsealarm probability of chi-square monitors with natural biases. A significant example in navigation is the signal deformation monitor (SDM), which is a critical component of ground-based augmentation systems (GBAS) and satellite-based augmentation systems (SBAS) for GPS. The key contribution of the paper is a proof that a simple analytical bound for false-alarm risk can be guaranteed conservative, even in realistic circumstances when the mean and covariance of the monitor’s inputs are poorly characterized.
Published in:	Proceedings of the 28th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2015) September 14 - 18, 2015 Tampa Convention Center Tampa, Florida
Pages:	1538 - 1550
Cite this article:	Updated citation: Published in NAVIGATION: Journal of the Institute of Navigation
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