An identification system which may be employed in a transport or monitoring system has at least one stationary and at least one mobile transmission unit which are each provided with an antenna, which antennas in turn are coupled inductively or capacitively to each other during the transmission of data. At least one of the antennas is designed such that in response to a mutual displacement of the coupled antennas a direction-dependent modulation of the transmitted signals occurs which is demodulated and evaluated in at least one of the transmission units, for example, by a demodulation unit and a processor, optionally a signal processor, in order to obtain information relating to the relative motion of the two transmission units. In addition to known identification functions, the identification system may perform additional important functions without requiring any significant additional expense.