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

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.

References in corpus (1)

• The κ-μ Shadowed Fading Model with Integer Fading Parameters

Cited by in corpus (7)

• SIR Coverage Analysis in Cellular Networks with Temporal Traffic: A Stochastic Geometry Approach
• A Generalized Fading Model with Multiple Specular Components
• An Outage Probability Analysis of Full-Duplex NOMA in UAV Communications
• A Statistical Characterization of Localization Performance in Millimeter-Wave Cellular Networks
• Indoor Millimeter-Wave Systems: Design and Performance Evaluation
• Opportunistic Relay in Multicast Channels with Generalized Shadowed Fading Effects: A Physical Layer Security Perspective
• Ranging success probability of PPP distributed automotive radar in presence of generalized fading