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In this work, an integrated performance evaluation of a decode-and-forward(DF) multi-hop wireless communication system is undertaken over the non-lineargeneralized $\alpha-\kappa-\mu$ and $\alpha-\kappa-\mu$-Extreme fading models.Analytical formulas for the probability density function (PDF) and thecumulative 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 fortraditional performance metrics such as amount of fading (AF), outageprobability (OP), bit error rate (BER) under coherent and non-coherentmodulation schemes as well as channel capacity under various adaptivetransmission techniques are derived. Additionally, asymptotic analyses of BERbased on Poincare series expansions of SNR PDFs are carried out and resultsshow good approximations for low SNR regimes. The correctness of the proposedsolutions has been corroborated by comparing them with Monte Carlo simulationresults.

A Comprehensive Performance Evaluation of a DF-Based Multi-Hop System Over $\alpha-\kappa-\mu$ and $\alpha-\kappa-\mu$-Extreme Fading Channels