Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel

TL;DR

This paper derives a closed-form expression for the ergodic sum-rate capacity of MU-MIMO systems with banded correlation matrices in multipath fading channels, showing that bordering the correlation matrix preserves capacity accuracy.

Contribution

It provides a novel analytical expression for capacity in massive MU-MIMO systems with banded correlation matrices under Nakagami-m fading, validated by simulations.

Findings

Bordered correlation matrices up to pentadiagonal structure do not affect sum-rate capacity.

Derived closed-form ergodic capacity expression matches simulation results.

System correlation matrix bordering is feasible without capacity loss.

Abstract

The research analyzes the problem of capacity analysis of the multi-user massive multi-input multi-output systems with a banded correlation model. The presented study impacts the analytical statistical description with closed form expression of the ergodic sum-rate capacity of the system functioning in presence of multipath fading channel with complex Nakagami-m statistics of the complex transmission coefficients. Numerical verification of the derived expressions was performed and demonstrated excellent correspondence with simulation. The research demonstrated that the system correlation matrix (in case when exponential model is considered) can be bordered up to pentadiagonal structure without introducing any discrepancies in to the sum-rate capacity.