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

Authors:
Matthew R. McKay;Iain B. Collings;Antonia M. Tulino
Affiliations:
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;Wireless Technologies Laboratory, ICT Centre, CSIRO, Sydney, Australia;Department of Wireless Communications, Bell Laboratories, Alcatel-Lucent, Holmdel, NJ
Venue:
IEEE Transactions on Information Theory
Year:
2010

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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.