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

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

doi:10.1109/TIT.2009.2034893

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

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

Research output: Contribution to journal › Article › peer-review

101 Citations (Scopus)

Abstract

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 language	English
Article number	5361478
Pages (from-to)	396-410
Number of pages	15
Journal	IEEE Transactions on Information Theory
Volume	56
Issue number	1
DOIs	https://doi.org/10.1109/TIT.2009.2034893
Publication status	Published - Jan 2010
Externally published	Yes

Keywords

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

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10.1109/TIT.2009.2034893

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abstract = "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.",

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

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