Improved frequency utilization in a radio network is achieved by using a radio system with a plurality of base stations, which respectively have at least one transmitter and one receiver, each base station being assigned at least one dual-polarized antenna. More efficient utilization of the available frequency band, and consequently a reduction in the cluster size, is made possible by the dual-polarized antenna being assigned a polarization modulator for changing at predetermined points in time the polarization state of a transmit signal to be transmitted.