RT Journal Article
SR Electronic
T1 An Analytical Derivation of the Signal-in-Space Root-Mean-Square User Range Error
JF NAVIGATION: Journal of the Institute of Navigation
JO NAVIGATION
FD Institute of Navigation
SP navi.630
DO 10.33012/navi.630
VO 71
IS 1
A1 Renfro, Brent
A1 Drotar, Jason
A1 Finn, Austin
A1 Stein, Miquela
A1 Reed,, Emery
A1 Villalba, Eduardo
YR 2024
UL https://navi.ion.org/content/71/1/navi.630.abstract
AB The concept of the signal-in-space (SIS) root-mean-square (RMS) user range error (URE) is used to evaluate the performance of multiple global navigation satellite systems (GNSSs); however, a complete analytical derivation has not been published. This article describes the instantaneous SIS URE and the instantaneous SIS RMS URE, explains the role of the instantaneous SIS RMS URE in evaluating the statistical accuracy of GNSS signals, and provides an analytical derivation of the instantaneous SIS RMS URE. This derivation is then compared to the equations found in various papers and performance standards to illustrate how the equations, although appearing different, actually measure the same quantity with differing constraints.