A system comprises a set of sensors on a first end of a vehicle having the first end and a second end, and a controller. The sensors are configured to generate corresponding sensor data based on a detected marker along a direction of movement of the vehicle. A first sensor has a first inclination angle with respect to the detected marker, and a second sensor has a second inclination angle with respect to the detected marker. The controller is configured to compare a time at which the first sensor detected the marker with a time at which the second sensor detected the marker to identify the first end or the second end as a leading end of the vehicle, and to calculate a position of the leading end of the vehicle based on the sensor data generated by one or more of the first sensor or the second sensor.