  In this work, we provide a global framework analysis of a multi-hop relaying
systems wherein the transmitter (TX) communicates with the receiver (RX)
through a set of intermediary relays deployed either in series or in parallel.
Regenerative based relaying scheme is assumed such as the repetition-coded
decoded-and-forward (DF) wherein the decoding is threshold-based. To reflect a
wide range of fading, we introduce the generalized $H$-function (also termed as
Fox-$H$ function) distribution model which enables the modeling of
radio-frequency (RF) fading like Weibull and Gamma, as well as the free-space
optic (FSO) such as the Double Generalized Gamma and M\'alaga fading. In this
context, we introduce various power and rate adaptation policies based on the
channel state information (CSI) availability at TX and RX. Finally, we address
the effects of relaying topology, number of relays and fading model, etc, on
the performance reliability of each link adaptation policy.
