Meta Distribution of Partial-NOMA

Abstract: This work studies the meta distribution (MD) in a two-user partial non-orthogonal multiple access (pNOMA) network. Compared to NOMA where users fully share a resource-element, pNOMA allows sharing only a fraction $\alpha$ of the resource-element. The MD is computed via moment-matching using the first two moments where reduced integral expressions are derived. Accurate approximates are also proposed for the $b{\rm th}$ moment for mathematical tractability. We show that in terms of percentile-performance of links, pNOMA only outperforms NOMA when $\alpha$ is small. Additionally, pNOMA improves the percentile-performance of the weak-user more than the strong-user highlighting its role in improving fairness.