Abstract
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 algorithm. Most surprisingly, the LAAS B-value algorithm for cov(e) = s̀2I is identical to the residual test statistics used by the receiver autonomous integrity monitoring (RAIM) algorithm in unaugmented GPS.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
