Analytical approximation of ZF Ricean rate in massive MIMO channels

Abstract

The analytical approximation of the Ricean channel (non-central Wishart) matrix is often analysed with the central Wishart matrix. This method falls short of exploiting the non-zero Ricean channel mean to calculate the average zero-forcing (ZF) massive multipleinput and multiple-output(MIMO) ergodic rate. In this Letter, the authors develop a new approach to accurately approximate the inverse Ricean channel, and determine the main diagonal. After which, optimal power allocation is used to maximise the ergodic rate. Numerical results validate the accuracy of the proposed approximation with the ideal channel.

Ergodic Spectral Efficiency of Massive MIMO with Correlated Rician Channel and MRC Detection based on LS and MMSE Channel Estimation

“…When there is a strong line of sight (LOS) component between users and BS, the transmission channel exhibits a Rician model. SE approximations of massive MIMO Rician channels are provided in [19][20][21][22] for the uplink including MRC [20][21][22] and ZF detector [19]; and [21][22][23][24] for the downlink covering MRT [21][22][23] and ZF pre-coder [24]. However, spatial correlation is considered only in [20,22].…”

Ergodic spectral efficiency of massive MIMO with correlated Rician channel and MRC detection based on LS and MMSE channel estimation

“…SE approximations of massive MIMO Rician channels are provided in [24–27] for the uplink including MRC [25–27] and ZF detector [24]; and [25, 27–29] for the downlink covering MRT [25, 27, 29] and ZF pre‐coder [28]. However, spatial correlation is considered only in [26, 27].…”