The $\kappa$-$\mu$ Shadowed Fading Model: Unifying the $\kappa$-$\mu$ and $\eta$-$\mu$ Distributions

TL;DR

This paper introduces the $ppa$-$mu$ shadowed fading model, unifying $ppa$-$mu$ and $ta$-$mu$ models, and derives closed-form asymptotic capacity expressions to analyze system performance under these fading conditions.

Contribution

It unifies two popular fading models into a more general, tractable model and provides new closed-form expressions for asymptotic ergodic capacity.

Findings

The $ppa$-$mu$ shadowed model includes $ta$-$mu$ as a special case.

Closed-form asymptotic capacity expressions are derived for the unified model.

The effects of fading parameters on system performance are illustrated.

Abstract

This paper shows that the recently proposed $\kappa$-$\mu$ shadowed fading model includes, besides the $\kappa$-$\mu$ model, the $\eta$-$\mu$ fading model as a particular case. This has important relevance in practice, as it allows for the unification of these popular fading distributions through a more general, yet equally tractable, model. The convenience of new underlying physical models is discussed. Then, we derive simple and novel closed-form expressions for the asymptotic ergodic capacity in $\kappa$-$\mu$ shadowed fading channels, which illustrate the effects of the different fading parameters on the system performance. By exploiting the unification here unveiled, the asymptotic capacity expressions for the $\kappa$-$\mu$ and $\eta$-$\mu$ fading models are also obtained in closed-form as special cases.