A wireless radiofrequency data communication system has a base-station with N first groups and a signal processing-unit with a memory and processor. Each first group has a receiver-unit provided with a receiver and at least one antenna which is connected to the receiver-unit, and the signal processing-unit is connected with each of the first groups for processing receive-signals generated by each of the first groups. The base station further has M second groups for transmitting radiofrequency signals to the first groups. Each second group has a transmitter-unit provided with a transmitter and at least one antenna which is connected to the transmitter-unit. The memory of the signal processing-unit is provided with information about the transfer-functions of radiofrequency signals from each of the antennas of the second groups to each of the antennas of the first groups, and the transmitters and receivers operate on essentially the same radio frequency or radiofrequency-band.