GNSS signals processing via linear and extended Kalman filters

In this paper, a new linear estimator that enables solution of the user position estimation problem has been designed for the case of global navigation satellite system (GNSS) utilization. The proposed recursive linear Kalman filter (LKF) does not need any linearization for nonlinear GNSS measurements and enables accurate estimation of the user coordinates and the distance measuring errors resulting from the time differences between the user and the satellite (clock bias). Comparison of the presented linear and conventional extended Kalman filters for the stationary and moving users' position estimation via GNSS measurements is performed.