A tire monitoring system in or for a vehicle for determining tire-specific parameters has a distributed bus architecture. At least one intelligent receiving device is configured to receive transmit signals of a wheel electronic system. The receiving device has a signal processing device that carries out an evaluation of the received transmit signals and/or an evaluation of received signals of another subscriber of the bus architecture. The invention also relates to methods for operating the intelligent receiving devices of a distributed bus architecture of the novel tire monitoring or tire pressure system.