Exact Outage Probability and Ergodic Capacity of NOMA

Abstract

This capsule provides reproducible code for the exact performance analysis of a two-user downlink non-orthogonal multiple access (NOMA) system with successive interference cancellation (SIC). The implementation follows an exact post-SIC modeling framework in which the disturbance observed at the near user is modelled as a truncated-Gaussian noise process conditioned on SIC success and failure events. The capsule computes the near-user outage probability by explicitly decomposing performance over SIC outcomes and averaging over Rayleigh fading. It also evaluates the near-user ergodic capacity using the same post-SIC SINR characterization. Monte Carlo simulations are used to validate the analytical and numerical results and to compare them with conventional legacy Gaussian and imperfect-SIC models. All key system parameters, such as power allocation factors, target rates, SNR range, and channel statistics, are user-configurable so that the numerical results reported in the manuscript can be reproduced and extended.