  In this work, we investigate the performance of a dual-hop multiple relays
system consisting of mixed Radio-Frequency (RF)/Free Space Optical (FSO)
channels. The RF channels are subject to Rayleigh fading while the optical
links experience the Double Generalized Gamma including atmospheric turbulence,
path loss and the misalignment between the transmitter and the receiver
aperture (also known as the pointing error). The FSO model also takes into
account the receiver detection technique which could be either heterodyne or
intensity modulation and direct detection. Partial Relay Selection with
outdated Channel State Information is assumed based on the RF channels to
select a relay and we also consider fixed and variable Amplify-and-Forward
relaying schemes. In addition, we assume that the relays are affected by the
high power amplifier non-linearities and herein we discuss two power amplifiers
called Soft Envelope Limiter and Traveling Wave Tube Amplifier. Furthermore,
novel closed-forms and tight upper bounds of the outage probability, the bit
error probability, and the ergodic capacity are derived. Capitalizing on these
performance, we derive the high SNR asymptotic to get engineering insights
about the system gains such as the diversity and the coding gains. Finally, the
mathematical expressions are validated using the Monte Carlo simulation.
