Probability density derivation and analysis of SINR in massive MIMO systems with MF beamformer

TL;DR

This paper derives an approximate probability density function for SINR in massive MIMO systems with MF beamforming, enabling better performance analysis and symbol error rate calculation.

Contribution

It provides a novel derivation of the SINR PDF for massive MIMO with MF beamforming, linking theoretical analysis with practical performance metrics.

Findings

Derived SINR PDF matches simulations in medium and large-scale MIMO.

The formula enables accurate symbol error rate estimation.

MF beamforming offers low-complexity performance insights.

Abstract

In massive MIMO systems, the matched filter (MF) beamforming is attractive technique due to its extremely low complexity of implementation compared to those high-complexity decomposition-based beamforming techniques such as zero-forcing, and minimum mean square error. A specific problem in applying these techniques is how to qualify and quantify the relationship between the transmitted signal, channel noise and interference. This paper presents detailed procedure of deriving an approximate formula for probability density function (PDF) of the signal-to-interference-and-noise ratio (SINR) at user terminal when multiple antennas and MF beamformer are used at the base station. It is shown how the derived density function of SINR can be used to calculate the symbol error rate of massive MIMO downlink. It is confirmed by simulation that the derived approximate expression for PDF is consistent with the simulated PDF in medium-scale and large-scale MIMO systems.