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

Jason H. Rife

Peer Reviewed

Abstract:	This paper presents methods for overbounding the false-alarm 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:	NAVIGATION, Journal of the Institute of Navigation, Volume 63, Number 4
Pages:	453 - 464
Cite this article:	Rife, Jason H., "Overbounding False-Alarm Probability for a Chi-Square Monitor with Natural Biases", NAVIGATION, Journal of The Institute of Navigation, Vol. 63, No. 4, Winter 2016, pp. 453-464. https://doi.org/10.1002/navi.164
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