Performance analysis of Alamouti transmit diversity with a sub-optimum joint transmit-receive antenna selection scheme

We consider a sub-optimum joint transmitreceive antenna selection (JTRAS) scheme in multiple input multiple output (MIMO) systems equipped with N transmit and two receive antennas. At the transmitter, we keep one antenna as fixed and select the best among the remaining N − 1 antennas. After selecting two transmit antennas for each of the receive antennas, we select the receive antenna for which the signal to noise ratio (SNR) is maximum. We assume spatially independent flat fading channels with perfect channel state information (CSI) at receiver and an ideal feedback link. We use Alamouti transmit diversity and derive the exact closed-form expression for the pdf of received SNR, using which we obtain bit error rate (BER) for BPSK constellation. We have presented simulation results and compared them with the derived analytical expressions. We have discussed some special cases of the considered antenna selection scheme. We have compared performance of the considered scheme with the other available schemes in terms of number of feedback bits and BER. We conclude that the considered JTRAS scheme reduces number of feedback bits.