Outage of relay simultaneous wireless information and power transfer with GSC and finite storage in Nakagami-m fading

In this study, a wireless powered dual-hop relay system, which consists of a source, a destination and a relay that is equipped with N_R (N_R > 1) receiving antennas and finite energy storage, is considered. Antenna selection scheme is employed for the relay to harvest energy from the received signals, under which the L_R (0 < L_R ≤ N_R) strongest received signals are combined for information processing and the other L_Z = N_R - L_R copies of signals are used for energy harvesting. Considering Nakagami-m fading scenarios, the authors first derive the closed-form expressions for the probability density function and the cumulative distribution function of the signal-to-noise ratio with generalised selection combining (GSC), and then the exact and asymptotic analytical expressions for outage probability are derived, respectively. Finally, simulation results are presented to verify the proposed analysis model.