Performance analysis of dual-hop DF multi-relay communication applying TAS/MRC and JTRAS system over Fisher-Snedecor <em>F</em> fading channels

In this paper, the Outage Probability (OP), Bit-Error-Rate (BER) and ergodic capacity of dual-hop and Decode-and-Forward (DF) type multi-relay aided communication system subject to Fisher-Snedecor F fading channel are analysed. The Multiple-Input-Multiple-Output (MIMO) technique is utilised in the communication system. The MIMO system can upgrade the system performance, but such a method uses plenty of antennas, thereby increasing the cost and hardware ramifications of the system. In this article, to prevail over these problems, at first the Transmit Antenna Selection (TAS) is utilised for the transmission of signals along with the Maximal Ratio Combining (MRC) diversity receiver. In the second method, a Joint Transmit and Receive Antenna Selection (JTRAS) diversity scheme is applied for communication. The expressions of OP, BER and ergodic capacity are obtained concerning TAS/MRC as well as JTRAS type MIMO systems. The OP and the BER expressions are derived using the Cumulative Distribution Function (CDF) of instantaneous SNR. The expression of channel capacity is obtained using the Probability Density function (PDF) of instantaneous SNR. The obtained expressions are verified by using Monte-Carlo simulation.