On the Convergence of Massive MIMO Systems

TL;DR

This paper investigates the convergence properties of massive MIMO systems, analyzing channel matrix characteristics, deriving SNR/SINR expressions, and considering spatial correlation to determine the number of antennas needed for optimal performance.

Contribution

It provides a detailed analysis of convergence rates for channel metrics and precoder properties, including effects of spatial correlation, which was not extensively studied before.

Findings

Channel metrics converge slower than precoder properties.

Spatial correlation affects convergence rates.

Derived expressions for ZF SNR and MF SINR with unequal powers.

Abstract

In this paper we examine convergence properties of massive MIMO systems with the aim of determining the number of antennas required for massive MIMO gains. We consider three characteristics of a channel matrix and study their asymptotic behaviour. Furthermore, we derive ZF SNR and MF SINR for a scenario of unequal receive powers. In our results we include the effects of spatial correlation. We show that the rate of convergence of channel metrics is much slower than that of the ZF/MF precoder properties.