  In this work, an integrated performance evaluation of a decode-and-forward
(DF) multi-hop wireless communication system is undertaken over the non-linear
generalized $\alpha-\kappa-\mu$ and $\alpha-\kappa-\mu$-Extreme fading models.
Analytical formulas for the probability density function (PDF) and the
cumulative distribution function (CDF) of the received signal-to-noise ratio
(SNR) as well as its generalized moments and moment generating function (MGF)
are derived. Based on the derived PDFs, novel closed-form expressions for
traditional performance metrics such as amount of fading (AF), outage
probability (OP), bit error rate (BER) under coherent and non-coherent
modulation schemes as well as channel capacity under various adaptive
transmission techniques are derived. Additionally, asymptotic analyses of BER
based on Poincare series expansions of SNR PDFs are carried out and results
show good approximations for low SNR regimes. The correctness of the proposed
solutions has been corroborated by comparing them with Monte Carlo simulation
results.
