Unified Stochastic Geometry Modeling and Analysis of Cellular Networks in LOS/NLOS and Shadowed Fading

Abstract

Statistical characterization of the signal-to-interference-plus-noise ratio (SINR) via its cumulative distribution function (CDF) is ubiquitous in a vast majority of technical contributions in the area of cellular networks since it boils down to averaging the Laplace transform of the aggregate interference, a benefit accorded at the expense of confinement to the simplistic Rayleigh fading. In this work, to capture diverse fading channels that arise in realistic outdoor/indoor wireless communication scenarios, we tackle the problem differently. By exploiting the moment generating function (MGF) of the SINR, we succeed in analytically assessing cellular networks performance over the shadowed κ-µ, κ-µ, and η-µ fading models. The latter offer high flexibility by capturing diverse fading channels including Rayleigh, Nakagami-m, Rician, and Rician shadow fading distributions. These channel models have been recently praised for their capability to accurately model dense urban environments, future femtocells, and device-to-device (D2D) shadowed channels. In addition to unifying the analysis for different channel models, this work integrates the coverage, the achievable rate, and the bit error probability (BEP) which are largely treated separately in the literature. The developed model and analysis are validated over a broad range of simulation setups and parameters.

A Unified Asymptotic Analysis of Area Spectral Efficiency in Ultradense Cellular Networks

“…Hence it is not included in the class of functions we are considering. In fact, it was shown in [16] that the SIR distribution is independent of the BS density, a property referred to as the SIR scale-invariance, for Rayleigh fading channels, and extended later for more general fading channels [50], [51]. Hence, by checking the definitions in (5), (6), and (7), it is clear that all of these metrics will increase linearly with the BS density.…”

SINR and Throughput of Dense Cellular Networks With Stretched Exponential Path Loss

“…Other fading models, such as shadowed κ−µ, η−µ, and two rays plus defuse power (TWDP) can also be used. However, it was shown in [37], [38] that using these models with the power-law path loss model r −η does not help in capturing the densification plateau and the density-invariance property still holds. Hence, we focus on the more tractable Rayleigh fading model since the key factor to capture the plateau is the path loss model.…”

Multitier heterogeneous network using stochastic geometry and factorial moment approaches

“…Such assumption is validated by theoretical arguments and empirical observations to be accurate for the heterogeneous multitiers network under sufficient channel randomness . As cellular networks are proven to be interference limited, the thermal noise in some scenarios is ignored to simplify the analysis.…”