Achievable sum rate of MIMO MMSE receivers: A general analytic framework

Matthew R. McKay, Iain B. Collings, Antonia M. Tulino

Research output: Contribution to journalArticlepeer-review

97 Citations (Scopus)


This paper investigates the achievable sum rate of multiple-input multiple-output (MIMO) wireless systems employing linear minimum mean-squared error (MMSE) receivers. We present a new analytic framework which exploits an interesting connection between the achievable sum rate with MMSE receivers and the ergodic mutual information achieved with optimal receivers. This simple but powerful result enables the vast prior literature on ergodic MIMO mutual information to be directly applied to the analysis of MMSE receivers. The framework is particularized to various Rayleigh and Rician channel scenarios to yield new exact closed-form expressions for the achievable sum rate, as well as simplified expressions in the asymptotic regimes of high and low signal-to-noise ratios (SNRs). These expressions lead to the discovery of key insights into the performance of MIMO MMSE receivers under practical channel conditions.

Original languageEnglish
Article number5361478
Pages (from-to)396-410
Number of pages15
JournalIEEE Transactions on Information Theory
Issue number1
Publication statusPublished - Jan 2010
Externally publishedYes


  • Fading channels
  • Linear minimum mean-squared error (MMSE) receivers
  • Multiple-input multiple-output (MIMO) systems
  • Sum rate


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