LMMSE receivers in uplink massive MIMO systems with correlated rician fading

Ikram Boukhedimi*, Abla Kammoun, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We carry out a theoretical analysis of the uplink (UL) of a massive MIMO system with per-user channel correlation and Rician fading, using two processing approaches. First, we examine the linear-minimum-mean-square-error receiver under training-based imperfect channel estimates. Second, we propose a statistical combining technique that is more suitable in environments with strong line-of-sight (LoS) components. We derive closed-form asymptotic approximations of the UL spectral efficiency (SE) attained by each combining scheme in single and multi-cell settings, as a function of the system parameters. These expressions are insightful in how different factors such as LoS propagation conditions and pilot contamination impact the overall system performance. Furthermore, they are exploited to determine the optimal number of training symbols, which is shown to be of significant interest at low Rician factors. The study and numerical results substantiate that stronger LoS signals lead to better performances, and under such conditions, the statistical combining entails higher SE gains than the conventional receiver.

Original languageEnglish (US)
Article number8458431
Pages (from-to)230-243
Number of pages14
JournalIEEE Transactions on Communications
Issue number1
StatePublished - Jan 2019


  • Imperfect channel estimation
  • LMMSE combining
  • Massive MIMO
  • Optimal training
  • correlated Rician fading

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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