  THz transmissions suffer from pointing errors due to antenna misalignment and
incur higher path loss from the molecular absorption in addition to the channel
fading. In this paper, we employ an amplify-and-forward (AF) dual-hop relaying
to mitigate the effect of pointing errors and extend the range of the THz
wireless system for backhaul connectivity. We provide statistical analysis on
the performance of the considered system by deriving analytical expressions for
the outage probability, average bit-error-rate (BER), average signal-to-noise
ratio (SNR), and a lower bound on the ergodic capacity over independent and
identical (i.i.d) $\alpha$-$\mu$ fading combined with the statistical effect of
pointing errors. Using computer simulations, we validate the derived analysis
of the relay-assisted system. We also demonstrate the effect of the system
parameters on outage probability and average BER with the help of diversity
order. We show that data rates up to several \mbox{Gbps} can be achieved using
THz transmissions, which is desirable for next-generation wireless systems,
especially for backhaul applications.
