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In this paper, we investigate MIMO systems with transmit antenna selection over an intra-class correlated Rayleigh fading channel. In our study, one single transmit antenna with an aim to maximizing the total received signal-to-noise ratio (SNR) is selected for transmission, while it is assumed that the receive side use all the available antennas. Using binary-phase-shift-keying (BPSK) modulation as an illustration, we derive the exact bit error rates (BERs) of two diversity schemes, namely transmit antenna selection and full complexity schemes. Moreover, we compare the asymptotic performance of the two diversity schemes analytically. The effect of correlation among the sub-channels on the SNR degradation is also determined in terms of the correlation coefficient and the number of transmit/receive antennas. Finally, results show that the transmit antenna selection scheme can achieve better performance than the full complexity scheme at the expense of a small amount of feedback information from the receiver.