Closed-form Approximations for Coverage and Rate in a Multi-tier Heterogeneous Network in Nakagami-m Fading

TL;DR

This paper derives simple closed-form approximations for coverage probability and average rate in a multi-tier heterogeneous network experiencing Nakagami-m fading, validated through simulations and comparisons.

Contribution

It introduces novel closed-form approximations for coverage and rate in Nakagami-m fading environments, simplifying analysis of complex heterogeneous networks.

Findings

The approximations closely match simulation results.

The method outperforms existing approximations in accuracy.

The approach simplifies performance analysis in Nakagami-m fading scenarios.

Abstract

In this paper, we consider the downlink in a K-tier heterogeneous network in the presence of Nakagami-m fading and noise. For such a system, we derive closed-form approximations of coverage probability and average rate achievable. A piece-wise linear approximation is employed in obtaining the simplified expressions. The proposed results are verified numerically through simulations. A comparison with existing work shows that the proposed work is a good approximation.