A method for determining a beamforming vector of an antenna group of a transmitting station in a wireless communication system and a beamforming vector of an antenna group of a receiving station in the wireless communication system, wherein each of the transmitting station and the receiving station comprises a codebook including a plurality of predefined beamforming vectors, the method comprising: performing a test transmission from the transmitting station to the receiving station using a test signal and a beamforming vector pair, the beamforming vector pair including a beamforming vector selected from the codebook of the transmitting station and a beamforming vector selected from the codebook of the receiving station, determining a transmission characteristic of the test transmission at the receiving station, repeating the test transmission and the determination of the transmission characteristic using different beamforming vector pairs, and determining the beamforming vectors of the transmitting and receiving stations (102, 114) from the beamforming vector pair for which the transmission characteristic has a predefined value, the method characterized in that the beamforming vectors for the transmitting station and for the receiving station are each taken column by column, starting with column 1, successively from respective training matrices T T at the transmitting station and T R at the receiving station so that that each beamforming vector from the codebook of the transmitting station encounters all beamforming vectors from the codebook of the receiving station, and wherein the training matrices T T, T R are determined as follows: T T = 1 1, K R ⊗ C T, T R = C R ⊗ 1 1, K T, wherein: T T = training matrix for beamforming at the transmitting station, T R = training matrix for beamforming at the receiving station, C T = codebook matrix of the transmitting station, C R = codebook matrix of the receiving station, K T = the number of beamforming vectors in the codebook of the transmitting station, K R = the number of beamforming vectors in the codebook of the receiving station, 1 1, K T = a row vector having K T elements that are each 1, 1 1, K R = a row vector having K R elements that are each 1. performing a test transmission from the transmitting station to the receiving station using a test signal and a beamforming vector pair, the beamforming vector pair including a beamforming vector selected from the codebook of the transmitting station and a beamforming vector selected from the codebook of the receiving station, determining a transmission characteristic of the test transmission at the receiving station, repeating the test transmission and the determination of the transmission characteristic using different beamforming vector pairs, and determining the beamforming vectors of the transmitting and receiving stations (102, 114) from the beamforming vector pair for which the transmission characteristic has a predefined value, the method characterized in that the beamforming vectors for the transmitting station and for the receiving station are each taken column by column, starting with column 1, successively from respective training matrices T T at the transmitting station and T R at the receiving station so that that each beamforming vector from the codebook of the transmitting station encounters all beamforming vectors from the codebook of the receiving station, and wherein the training matrices T T, T R are determined as follows: T T = 1 1, K R ⊗ C T, T R = C R ⊗ 1 1, K T, wherein: T T = training matrix for beamforming at the transmitting station, T R = training matrix for beamforming at the receiving station, C T = codebook matrix of the transmitting station, C R = codebook matrix of the receiving station, K T = the number of beamforming vectors in the codebook of the transmitting station, K R = the number of beamforming vectors in the codebook of the receiving station, 1 1, K T = a row vector having K T elements that are each 1, 1 1, K R = a row vector having K R elements that are each 1. T T = training matrix for beamforming at the transmitting station, T R = training matrix for beamforming at the receiving station, C T = codebook matrix of the transmitting station, C R = codebook matrix of the receiving station, K T = the number of beamforming vectors in the codebook of the transmitting station, K R = the number of beamforming vectors in the codebook of the receiving station, 1 1, K T = a row vector having K T elements that are each 1, 1 1, K R = a row vector having K R elements that are each 1.