Fluctuations of the Mutual Information in Large Distributed Antenna Systems with Colored Noise

Abstract : This paper studies the fluctuations of the mutual information of a class of multiple-input multiple-output (MIMO) channels with arbitrary correlated noise in the large system limit. We provide a deterministic approximation of the ergodic mutual information, which is asymptotically accurate as the number of antennas grows, and study its fluctuations around this value under the form of a central limit theorem (CLT). This result can be used to predict the outage capacity for slow fading channels. The channel model considered in this contribution has a particular application in the context of distributed antenna or network MIMO systems where the path loss between any pair of transmit and receive antennas has a different value. As shown by simulations, the approximations are very accurate for channels of small dimensions.
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  • HAL Id : hal-00554953, version 1

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Jakob Hoydis, Jamal Najim, Romain Couillet, Merouane Debbah. Fluctuations of the Mutual Information in Large Distributed Antenna Systems with Colored Noise. Forty-Eighth Annual Allerton Conference on Communication, Control, and Computing (Allerton'10), Sep 2010, Urbana-Champaing, Illinois, United States. 6 p. ⟨hal-00554953⟩

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