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 (13)

• A Tractable Approach to Coverage and Rate in Cellular Networks
• Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks
• Heterogeneous Cellular Networks with Flexible Cell Association: A Comprehensive Downlink SINR Analysis
• Offloading in Heterogeneous Networks: Modeling, Analysis, and Design Insights
• Downlink MIMO HetNets: Modeling, Ordering Results and Performance Analysis
• A Primer on Cellular Network Analysis Using Stochastic Geometry
• The $\kappa$-$\mu$ Shadowed Fading Model: Unifying the $\kappa$-$\mu$ and $\eta$-$\mu$ Distributions
• SINR-based k-coverage probability in cellular networks with arbitrary shadowing
• The κ-μ Shadowed Fading Model with Integer Fading Parameters
• Dual-Branch MRC Receivers under Spatial Interference Correlation and Nakagami Fading
• Equivalence and comparison of heterogeneous cellular networks
• Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials
• Coverage Analysis In Downlink Poisson Cellular Network With $\kappa$-$\mu$ Shadowed Fading

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