In a radio communication system, a beam is formed between subscriber stations and a base station which has an antenna device with several antenna elements. The antenna elements emit a downlink signal based on respective weighing with coefficients of a weighting vector. A plurality of weighting vectors are determined at the subscriber station in an initialization phase and transmitted to the base station. In a subsequent working phase, the subscriber station selects a dominant weighting vector from the weighting vectors and transmits a designation of the selected weighting vector to the base station.