A large scale, self-calibrating multi-antenna wireless communication system calibrates the transmit-receive RF chains of antennas in the system. The system, during a first time interval, transmits a pilot signal from at least those antennas in a first time-reuse group, so that the pilot signals are received at antennas in one or more other time-reuse groups. The system, during a second time interval, transmits a pilot signal from at least those antennas in a second time-reuse group, so that the pilot signals are received at antennas in one or more other time-reuse groups. The system also, during a third time interval, transmits a pilot signal from at least those antennas in a third time-reuse group, so that the pilot signals are received at antennas in one or more other time-reuse groups. Based on these received pilot signals, the system calculates RF-chain calibration factors for one or more of the antennas.