Overbounding Missed-Detection Probability for a Chi-Square Monitor

Jason H. Rife

Abstract:	This paper presents methods for overbounding the missed-detection probability for monitors with nominally chi-square noise distributions. Such distributions occur commonly for integrity monitors in safety-critical applications, such as in Space-Based and Ground-Based Augmentation Systems for GNSS. Robust bounding methods are needed when noise parameters, such as the measurement covariance matrix, are not precisely known. Simple inflation of the covariance model for the input data does not, typically, ensure conservative bounding for all bias directions. To address this problem, conservative models of monitor-statistic noise are introduced, which ensure bounding for all covariance matrices in a specified range, between lower and upper bounds.
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:	1348 - 1368
Cite this article:	Rife, Jason H., "Overbounding Missed-Detection Probability for a Chi-Square Monitor," Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012), Nashville, TN, September 2012, pp. 1348-1368.
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