In this paper, end-to-end performance of transmit antenna selection (TAS) and generalized selection combining (GSC) is studied in a dual-hop amplify-and-forward relay network over flat Rayleigh fading channels. In the system, source and destination equipped with multiple antennas, communicate by the help of single relay equipped with single antenna. Source-destination link is not available. TAS is used for transmission at the source, and GSC is used for reception at the destination. By considering the relay location and the presence of error in feedback channel from the relay to the source, we derive closed-form outage probability, moment generating function and moments of end-to-end signal-to-noise ratio, and closed-form symbol error probability (SEP) expressions for channel state information (CSI)-based and fixed relay gains. The diversity order and array gain of the network are obtained for both CSI-based and fixed relay gains by deriving asymptotical outage probability and SEP expressions. The analytical results are validated by the Monte Carlo simulations. amplify-and-forward (AF) are two common types of relayed transmission techniques. In DF, the relay receives the signal and detects the information, then forwards it to the destination. However, in AF, the relay amplifies the received signal and then forwards it to the destination [18]. In general, two common types of relay gains are defined, which are the channel state information (CSI)-based and fixed relay gains. Although CSI-based gain requires perfect CSI of source-relay channel [19], fixed-gain relay amplifies the signal using constant amplifying gain which reduces the system complexity at the relay [20,21].Multiple-input multiple-output relay system, where nodes are equipped with multiple antennas, has been studied in [22][23][24][25][26][27][28][29][30] for CSI-based relay gain and Rayleigh fading channels. In [22], authors have studied the performance of beamforming in dual-hop AF network. In [23], performance of coded cooperative network with multi-antenna single relay where SC is employed (or equivalently single antenna multiple relays where relay selection is applied) has been studied. Orthogonal space-time block code transmission has been analyzed in [24]. In [25], MIMO AF relay network where TAS and MRC are employed at the source and destination, respectively, and the relay is equipped with single antenna that has been examined. The authors have obtained outage probability, moment generating function (MGF) and symbol error probability (SEP) expressions. In [26], authors have obtained MGF of reciprocal of the end-to-end SNR and calculated outage probability performance numerically for the multi-hop AF relay network where TAS and MRC are used in all hops. In [27] and [28], performance of network considered in [26] has been analyzed for dual-hop case. In [29], joint single transmit and receive antenna selection in each hop of dual-hop AF network has been studied. The authors have obtained probability density function (PDF) of received SNR and cal...
