A multi-antenna transmission process provides down-link radio coverage through a transmission system. The transmission system includes at least one multi-radiator transmitting antenna, directed towards a mobile terminal, at least one database associated with at least one coverage cell and a position of the mobile terminal, a processor cooperating with the at least one multi-radiator transmitting antenna and the at least one database to associate a transmission direction with the position of the mobile terminal by detecting a position of the mobile terminal, storing the position into the at least one database, and determining at least one transmission direction from the at least one multi-radiator transmitting antenna to the mobile terminal depending on the position stored in the at least one database, wherein at least one of the transmission parameters set in order to transmit in the transmission direction is associated with the stored position of the mobile terminal.