A closed form analytic expression for massive MIMO finite-SNR diversity gain in case of correlated Rayleigh channels

Abstract

Massive MIMO is a key technology for achieving everincreasing demands in high quality communication and navigation. At the same time multipath transmission in conjunction with transmit/receive signal combining being its corner stone can be incapable to exploit available spatial diversity. Hence it is vital to understand to which extent the parameters of the MIMO system can be optimized in order to raise the diversity gain — one of the main characteristics describing the spatial abundance of propagating conditions, guaranteeing the reliability of the link. The proposed research presents the derived analytic expression for finite-SNR diversity gain, which helps to define the diversity properties of the MIMO system for a current state: signal-to-noise ratio (SNR), symbol error rate (SER), probability of outage, etc. The obtained solution is verified comparing to the direct numerical definitions' implementation and demonstrated the advantageous computational characteristics.