A Comprehensive Analysis of 5G Heterogeneous Cellular Systems operating over $\kappa$-$\mu$ Shadowed Fading Channels

TL;DR

This paper develops a flexible analytical framework for evaluating 5G heterogeneous networks over diverse $oldsymbol{ ext{kappa-mu shadowed}}$ fading channels, unifying many models and enabling performance analysis under realistic propagation conditions.

Contribution

It introduces a series expansion-based method to analyze SINR and network performance over $oldsymbol{ ext{kappa-mu shadowed}}$ fading, covering many existing models and applicable to complex 5G scenarios.

Findings

Derived expressions for spectral efficiency and outage probability.

Provided insights into network performance under diverse fading conditions.

Validated the framework with numerical results for 5G HetNets.

Abstract

Emerging cellular technologies such as those proposed for use in 5G communications will accommodate a wide range of usage scenarios with diverse link requirements. This will include the necessity to operate over a versatile set of wireless channels ranging from indoor to outdoor, from line-of-sight (LOS) to non-LOS, and from circularly symmetric scattering to environments which promote the clustering of scattered multipath waves. Unfortunately, many of the conventional fading models adopted in the literature to develop network models lack the flexibility to account for such disparate signal propagation mechanisms. To bridge the gap between theory and practical channels, we consider $\kappa$-$\mu$ shadowed fading, which contains as special cases, the majority of the linear fading models proposed in the open literature, including Rayleigh, Rician, Nakagami-m, Nakagami-q, One-sided Gaussian, $\kappa$-$\mu$, $\eta$-$\mu$, and Rician shadowed to name but a few. In particular, we apply an orthogonal expansion to represent the $\kappa$-$\mu$ shadowed fading distribution as a simplified series expression. Then using the series expressions with stochastic geometry, we propose an analytic framework to evaluate the average of an arbitrary function of the SINR over $\kappa$-$\mu$ shadowed fading channels. Using the proposed method, we evaluate the spectral efficiency, moments of the SINR, bit error probability and outage probability of a $K$-tier HetNet with $K$ classes of BSs, differing in terms of the transmit power, BS density, shadowing characteristics and small-scale fading. Building upon these results, we provide important new insights into the network performance of these emerging wireless applications while considering a diverse range of fading conditions and link qualities.