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An algorithm for generalised closed loop transmit diversity is proposed. Full diversity or partial diversity is used and phase adjustment is applied between selected antennas controlled by SINR maximisation criterion. It is shown that the proposed algorithm offers a considerable gain in transmit signal-to-noise ratio per bit compared to all-antenna transmission and one-antenna selection transmit diversity for both uncorrelated and correlated fading between transmit antennas. Furthermore, the proposed algorithm is more robust to the channel estimation errors.