Impact of the data uncertainties on the regression model: application to the trajectory-aided surface GNSS navigation
Colloque Gretsi, 3-6 septembre 2013
The railway centerline is defined by a polygonal line with some level of uncertainty in the train onboard database. The goal of this paper is to estimate the travelled distance, velocity and acceleration by using a low-cost GNSS receiver and to study the impact of the centerline uncertainty on these estimations. The Least Square (LS) algorithm based on a block of GNSS measurements and a realistic dynamical train model is designed to estimate the travelled distance, velocity and the acceleration of the train. The mean error and the second order moment are theoretically calculated for these estimations and compared with the results of Monte-carlo simulations.