Authors

Title

From pseudorange overbounding to integrity risk overbounding

In

NAVIGATION: Journal of the Institute of Navigation

Volume

66

Issue

2

Pages

1–23

Publisher

ION

Year

2019

Indexed by

Abstract

Degradations of the pseudorange measurements, even when bounded, can
lead to unacceptable positioning errors, especially when considering reduced
alert limits—like those provided by GBAS, SBAS, and, in the future, ARAIM.
The solution consists of the passive integrity method called “overbounding.”
The overbounding approach allows all measurements in the position solution.
The idea of the approach is to get a conservative bound for the integrity
risk. The known methods of overbounding are applicable to the calculation of
conservative bounds for a linear combination of several random variables. These
methods are used to calculate the instantaneous integrity risk overbounding
for vertical positioning, and they can be used for horizontal positioning only
after some conservative steps. The original contribution is twofold: (a) new conservative upper bounds for the integrity risk in the horizontal plane; (b) new conservative upper bounds for the horizontal/vertical integrity risks per a given period of time.

Affiliations

Offprint