Multi-User Non-Orthogonal Multiple Access in Power Line Communications Under Generalized Gaussian Noise

We present an analysis on multi-user pairwise error probability (PEP) performance of non-orthogonal multiple access (NOMA)-aided power line communication (PLC) systems, under heavy-tailed noise. In contrast to the typical assumption in the literature, we consider the successive interference cancellation procedure in NOMA to be imperfect. We model the heavy-tailed noise as generalized Gaussian (GG) distribution with a heavy-tail parameter, and discuss the impact of this parameter on the PEP performance. We validate our analysis using Monte Carlo simulations, and disucss the impact of the lognormal fading parameters in PEP. Further, we numerically show that the diversity order on PEP is equal to the user order for larger values of the heavy-tail parameter, which is similar to that observed in an additive white Gaussian noise scenario.