  In this paper, the performance of a dual-hop energy harvesting-based
fixed-gain amplify-and-forward (AF) relaying communication system, subject to
fading impairments, is investigated. We consider a source node ($S$)
communicating with a destination node ($D$) through a fixed distant relay
($R$), which harvests energy from its received signals and uses it to amplify
and forward the received signals to $D$. Power-splitting (PS) and
time-switching (TS) schemes are considered in the analysis for energy
harvesting. The $S$-$R$ and $R$-$D$ hops are modeled by the Nakagami-$m$ and
$\alpha $-$\mu $ fading models, respectively. Closed-form expressions for the
statistical properties of the end-to-end signal-to-noise ratio (SNR) are
derived, based on which novel closed-form expressions for the average symbol
error rate (ASER) as well as average channel capacity (ACC) considering four
adaptive transmission policies are derived. The derived expressions are
validated through Monte-Carlo simulations.
