The invention relates to a monitoring system for vehicle wheels and a wireless measurement module. The wireless measurement module is configured to be attached to a vehicle wheel and comprises: an acceleration measurement unit for determining acceleration information associated with wheel motion of the vehicle; a state determination unit for determining a value of at least one parameter characterizing a characteristic or state of the vehicle wheel by using the acceleration information; and a module communication unit for communicating the value of said at least one parameter by means of a wireless communication signal.