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

Jakob Hoydis (1) , Jamal Najim (2) , Romain Couillet (3) , Merouane Debbah (4)

1 E3S - Supélec Sciences des Systèmes
2 LTCI - Laboratoire Traitement et Communication de l'Information
3 SSEC - Chaire Sciences des Systèmes et Défis Energétiques EDF/ECP/Supélec
4 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

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.

Domains: Computer Science [cs]; Information Theory [cs.IT]; Mathematics [math]; Information Theory [math.IT]

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⟩