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Open AccessArticle

Sum-Rate of Multi-User MIMO Systems with Multi-Cell Pilot Contamination in Correlated Rayleigh Fading Channel

by Menghan Wang 1 and Dongming Wang 1,2,*
1
National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
2
Purple Mountain Laboratories, Nanjing 211111, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(6), 573; https://doi.org/10.3390/e21060573
Received: 6 March 2019 / Revised: 27 May 2019 / Accepted: 5 June 2019 / Published: 6 June 2019
(This article belongs to the Special Issue Information Theory Applications in Signal Processing)
This paper presents some exact results on the sum-rate of multi-user multiple-input multiple-output (MU-MIMO) systems subject to multi-cell pilot contamination under correlated Rayleigh fading. With multi-cell multi-user channel estimator, we give the lower bound of the sum-rate. We derive the moment generating function (MGF) of the sum-rate and then obtain the closed-form approximations of the mean and variance of the sum-rate. Then, with Gaussian approximation, we study the outage performance of the sum-rate. Furthermore, considering the number of antennas at base station becomes infinite, we investigate the asymptotic performance of the sum-rate. Theoretical results show that compared to MU-MIMO system with perfect channel estimation and no pilot contamination, the variance of the sum-rate of the considered system decreases very quickly as the number of antennas increases. View Full-Text
Keywords: multi-user MIMO; pilot contamination; imperfect channel estimation; correlated Rayleigh fading; sum-rate analysis multi-user MIMO; pilot contamination; imperfect channel estimation; correlated Rayleigh fading; sum-rate analysis
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Wang, M.; Wang, D. Sum-Rate of Multi-User MIMO Systems with Multi-Cell Pilot Contamination in Correlated Rayleigh Fading Channel. Entropy 2019, 21, 573.

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