On the mutual information of 3D massive MIMO systems: An asymptotic approach

Qurrat-Ul-Ain Nadeem, Abla Kammoun, Merouane Debbah, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Motivated by the recent interest in 3D beamforming to enhance system performance, we present an information-theoretic channel model for multiple-input multiple-output (MIMO) systems, that can support the elevation dimension. The principle of maximum entropy is used to determine the distribution of the channel matrix consistent with the prior angular information. We provide an explicit expression for the cumulative density function (CDF) of the mutual information in the large number of transmit antennas and paths regime. The derived Gaussian approximation is quite accurate even for realistic system dimensions. The simulation results study the achievable performance through the meticulous selection of the transmit antenna downtilt angles. The results are directly applicable to the analysis of 5G 3D massive MIMO systems. © 2015 IEEE.
Original languageEnglish (US)
Title of host publication2015 IEEE International Symposium on Information Theory (ISIT)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages5
ISBN (Print)9781467377041
StatePublished - Oct 1 2015

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 305123, ERC


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