Vehicle, device, computer program and method for estimating a road profile

Systems, methods, and apparatuses are provided for estimating a road profile in surroundings of a vehicle by using a state function that describes the road profile and a Bayes filter for adapting the state function based on surroundings measurement data. Sensor-captured surroundings measurement data is received. Information about an uncertainty regarding at least either the state function or the sensor-captured surroundings measurement data is received. The information is taken as a basis for adapting a state inaccuracy that influences an attenuation of the Bayes filter.