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
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