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Mobile station (MS) in the Long Term Evolution Advanced (LTE-A) equips with two transmit antennas and the data are transmitted during three time slots. This has brought up an interesting space time block code (STBC) design for LTE-A. In this paper, a novel STBC scheme is proposed for three time slots and two antennas. The proposed STBC scheme has these properties: i) the scheme can achieve full rate and full diversity, ii) its maximum likelihood (ML) decoding requires a joint detection of three real symbols, iii) the minimum determinant values (MDVs) do not vanish by increasing signal constellation sizes, iv) compatible with the single antenna transmission mode. Simulation results show that the proposed scheme has the same bit error rate (BER) performance with the best known scheme at high signal to noise ratio (SNR).