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We present a new space-time block code (STBC) that is orthogonal, full rate and achieves full diversity for four transmit antennas when a special "triple-QPSK" modulation is used. The performance of this STBC is evaluated by Monte Carlo simulation and union bounding techniques. The pairwise error probability is presented. The analytical results match very well with the simulation results at reasonable signal to noise ratios (SNR). The performance of this STBC using the "triple-QPSK" is better than that of the conventional STBC.