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Achievable Sum Rate of MIMO MMSE Receivers: A General Analytic Framework 1
, 903
"... This paper investigates the achievable sum rate of multipleinput multipleoutput (MIMO) wireless systems employing linear minimum meansquared error (MMSE) receivers. We present a new analytic framework which unveils an interesting connection between the achievable sum rate with MMSE receivers and ..."
Abstract

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This paper investigates the achievable sum rate of multipleinput multipleoutput (MIMO) wireless systems employing linear minimum meansquared error (MMSE) receivers. We present a new analytic framework which unveils 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 closedform expressions for the achievable sum rate, as well as simplified expressions in the asymptotic regimes of high and low signal to noise ratios. These expressions lead to the discovery of key insights into the performance of MIMO MMSE receivers under practical channel conditions.
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, 2005
"... This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.’s) of sums and products of large random matrices. We show that the result can be derived directly as a consequence of two common assumptions, and matches the results obtained from using R ..."
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This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.’s) of sums and products of large random matrices. We show that the result can be derived directly as a consequence of two common assumptions, and matches the results obtained from using R and Stransforms in free probability theory. We also give a direct derivation of the a.e.d. of the sum of certain random matrices which are not free. This is used to determine the asymptotic signaltointerferenceratio of a multiuser CDMA system with a minimum meansquare error linear receiver.