COMPARISON OF LAAS B-VALUES WITH LINEAR MODEL OPTIMUM B-VALUES

Robert J. Kelly

Peer Reviewed

Abstract:	This paper derives B-values from first principles and compares them with the B-values of the GPS Local Area Augmentation System LAAS . We begin with the linear model for the reference receiver architecture of the ground reference station. From this linear model we derive the optimum estimates and optimum tests. The () optimum B-values are the residuals of the linear model. Using the minimum mean square error MSE as the performance criterion allows us to calculate the optimum residuals. We call these optimum linear model residuals the linear model B-values. We also show that the difference in MSE between the linear model B-values and the LAAS B-values is not significant. Thus the linear model B-values support the choice of the LAAS B-value 2 algorithm. Most surprisingly, the LAAS B-value algorithm for cov e I is identical to the residual test statistics used by the receiver autonomous integrity monitoring RAIM algorithm in unaugmented GPS.
Published in:	NAVIGATION: Journal of the Institute of Navigation, Volume 47, Number 2
Pages:	143 - 156
Cite this article:	Kelly, Robert J., "COMPARISON OF LAAS B-VALUES WITH LINEAR MODEL OPTIMUM B-VALUES", NAVIGATION: Journal of The Institute of Navigation, Vol. 47, No. 2, Summer 2000, pp. 143-156.
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