It discloses a method and apparatus for transmitting and receiving signals in a multi-antenna system. Signal transmitting apparatus, the processing that specifies the analog beam carrying a digital pre-coded signal for each receiver of a plurality of receivers for each antenna port is formed by a digital pre-coding, a digital pre-coding a plurality of analog signals the process of multiplexing a plurality of beam groups corresponding to the beams and wherein each beam group must include one or more digital precoded signal given by an analog beam, the OFDM converts the signals of the plurality of beam groups wherein generating the OFDM signals corresponding to a plurality of analog beams and includes the step of converting said OFDM signal in the RF signal transmitted via the plurality of analogue beam.