Maximal Ratio Transmission in Wireless Poisson Networks under Spatially Correlated Fading Channels

TL;DR

This paper derives new closed-form formulas for interference, success probability, and spectral efficiency in a wireless Poisson network with multi-antenna base stations using MRT under spatially correlated Rayleigh fading, revealing how correlation impacts throughput.

Contribution

It introduces novel analytical expressions for interference and network performance metrics considering spatially correlated fading, advancing understanding of MRT in Poisson networks.

Findings

Spatial correlation can both enhance or degrade throughput depending on network conditions.

Derived formulas match simulation results accurately.

Network performance is significantly affected by BS density, SINR, and noise levels.

Abstract

The downlink of a wireless network where multi-antenna base stations (BSs) communicate with single-antenna mobile stations (MSs) using maximal ratio transmission (MRT) is considered here. The locations of BSs are modeled by a homogeneous Poisson point process (PPP) and the channel gains between the multiple antennas of each BS and the single antenna of each MS are modeled as spatially arbitrarily correlated Rayleigh random variables. We first present novel closed-form expressions for the distribution of the power of the interference resulting from the coexistence of one intended and one unintended MRT over the considered correlated fading channels. The derived expressions are then used to obtain closed-form expressions for the success probability and area spectral efficiency of the wireless communication network under investigation. Simulation results corroborate the validity of the presented expressions. A key result of this work is that the effect of spatial correlation on the network throughput may be contrasting depending on the density of BSs, the signal-to-interference-plus-noise ratio (SINR) level, and the background noise power.