Abstract

In this paper, we estimate the uplink performance of large-scale multi-user multiple-input multiple-output (MIMO) networks. By applying minimum-mean-square-error (MMSE) detection, a novel statistical distribution of the signal-to-interference-plus-noise ratio (SINR) for any user is derived, for path loss, shadowing and Rayleigh fading. Suppose that the channel state information is perfectly known at the base station. Then, we derive the analytical expressions for the pairwise error probability (PEP) of the massive multiuser MMSE–MIMO systems, based on which we further obtain the upper bound of the bit error rate (BER). The analytical results are validated successfully through simulations for all cases.

Highlights

  • Large-scale multiuser multiple-input multiple-output (MU-MIMO) systems are characterized by consisting of a hundred, or even more antennas at the base station (BS) and multiple users being served simultaneously, which dramatically improves the link reliablility and spectral efficiency of wireless communication systems [1]

  • We focus on the investigation of the uplink performance for coded cellular large-scale multiuser MIMO systems with an MMSE receiver

  • We assume that K = 5, 10 users are distributed independently and uniformly at random in the cell and the distance between each user and the base station is greater than rh = 100 meters, that is, for the k-th user, rk > rh

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Summary

Introduction

Large-scale multiuser multiple-input multiple-output (MU-MIMO) systems are characterized by consisting of a hundred, or even more antennas at the base station (BS) and multiple users being served simultaneously, which dramatically improves the link reliablility and spectral efficiency of wireless communication systems [1]. Work that relates directly to the throughput bound for convolutionally encoded large-scale MIMO-OFDM links was investigated in [9], by using the approximate noise distribution for the ZF detector. We note that the authors only discuss the rate by a lower bound result, based on the approximated gamma distribution of SINR for the MMSE receiver considered in [11]. A closed-form distribution for the output SINR of the MMSE receiver was derived in [16], for uncoded MIMO systems in ideal fast Rayleigh fading, and accurate symbol error performance was evaluated. We focus on the investigation of the uplink performance for coded cellular large-scale multiuser MIMO systems with an MMSE receiver. The operation Ex [ f ( x )] represents the mean of the function f ( x ) with respect to the RV x

System Model
Distribution of the SINR
Performance Analysis of Coded Multiuser MIMO System with an MMSE Detector
BER Upper Bound in Both Small- and Large-Scale Fading
Asymptotical Diversity Order
Numerical Results and Simulations
Conclusions
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