Stochastic Geometry-Based Performance Bounds for Non-Fading and Rayleigh Fading Ad Hoc Networks

TL;DR

This paper derives closed-form performance bounds for non-fading and Rayleigh fading ad hoc networks, providing insights into SINR and SIR distributions, and their impact on communication rates, relevant for 5G systems.

Contribution

It introduces new closed-form bounds for SINR and SIR distributions in non-fading and fading ad hoc networks, facilitating theoretical analysis and comparison of advanced wireless systems.

Findings

Closed-form bounds for SINR and SIR distributions.

Analytical expressions for average Shannon and outage rates.

Application to 5G systems like massive MIMO and small cells.

Abstract

In this paper, we study the performance of non-fading and Rayleigh fading ad hoc networks. We first characterize the distribution of the signal-to-interference-plus-noise ratio (SINR) through the Laplace transform of the inverted SINR for non-fading channels. Since most communication systems are interference-limited, we also consider the case of negligible noise power, and derive the upper and lower bounds for the signal-to-interference ratio (SIR) distribution under both non-fading and fading cases. These bounds are of closed forms and thus more convenient for theoretical analysis. Based on these derivations, we obtain closed-form bounds for both the average Shannon and outage rates. We also leverage the above results to study partial fading ad-hoc systems. These results are useful for investigating and comparing fifth-generation communication systems, for example massive multi-antenna and small-cell networks as in our illustrative example.