Performance of Multi-Antenna MMSE Receivers in Non-homogeneous Poisson Networks

TL;DR

This paper develops a method to analyze the SINR distribution for multi-antenna MMSE receivers in non-homogeneous Poisson networks, extending previous homogeneous models and revealing how antenna scaling affects SINR convergence.

Contribution

It introduces a new technique to compute the SINR CDF in non-homogeneous Poisson networks and explores the impact of antenna scaling on SINR limits.

Findings

The SINR CDF can be computed for various intensity functions.

Scaling antennas linearly with intensity leads to SINR convergence.

Generalizes results from homogeneous to non-homogeneous networks.

Abstract

A technique to compute the Cumulative Distribution Function (CDF) of the Signal-to-Interference-plus-Noise-Ratio (SINR) for a wireless link with a multi-antenna, Linear, Minimum-Mean-Square-Error (MMSE) receiver in the presence of interferers distributed according to a non-homogenous Poisson point process on the plane, and independent Rayleigh fading between antennas is presented. This technique is used to compute the CDF of the SINR for several different models of intensity functions, in particular, power-law intensity functions, circular-symmetric Gaussian intensity functions and intensity functions described by a polynomial in a bounded domain. Additionally it is shown that if the number of receiver antennas is scaled linearly with the intensity function, the SINR converges in probability to a limit determined by the "shape" of the underlying intensity function. This work generalizes known results for homogenous Poisson networks to non-homogenous Poisson networks.