A positioning system for tracking a position of a vehicle includes a receiver configured to receive phase measurements of satellite signals received at multiple instances of time from multiple satellites, and a memory configured to store a recurrent neural network trained to determine a position of the vehicle from a set of phase measurements in a presence of noise caused by a multipath transmission of at least some of the satellite signals at some instances of time. A processor of the positioning system is configured to track the position of the vehicle over different instances of time by processing the set of phase measurements received at each instance of time with the recurrent neural network to produce the position of the vehicle at each instance of time.