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This paper investigates closed loop extended orthogonal block coding (EO-STBC) scheme with four transmit antennas and single receive antenna under quasi-static flat Rayleigh fading. Overall system architectures and the BER performance are compared among conventional EO-STBCs through simulations and numerical analysis in the sense of the average receive SNR. Further, We proposed a new EO-STBC adopting a code selection scheme on the basis of optimal phase rotated EO-STBC for obtaining additional receive SNR gain. Finally, we confirmed that the proposed system has better BER performance than other EO-STBCs without additional feedback bits.