On the fluctuations of the mutual information for non centered MIMO channels: The non Gaussian case

Abla Kammoun*, Malika Kharouf, Walid Hachem, Jamal Najim, Ahmed El Kharroubi

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

The use of Multiple Input Multiple Output (MIMO) systems has been widely recognized as an efficient solution to increase the data rate of wireless communications. In this regard, several contributions investigate the performance improvement of MIMO systems in terms of Shannon's mutual information. In most of these contributions, elements of the MIMO channel matrix are assumed to belong to a multivariate Gaussian distribution. The non Gaussian case, which is realistic in many practical environments, has been much less studied. This contribution is devoted to the study of the mutual information of MIMO channels when the channel matrix elements are Ricean with the non-Ricean component being iid but non-Gaussian. In this context, the mutual information behavior is studied in the large dimensional regime where both channel matrix dimensions converge to infinity at the same pace. In this regime, a Central Limit Theorem on the mutual information is provided. In particular, the mutual information variance is determined in terms of the parameters of the channel statistical model. Since non Gaussian entries are allowed, a new term proportional to the fourth cumulant of their distribution arises in the expression of the asymptotic variance. In addition, a bias term proportional to this fourth order cumulant appears.

Original languageEnglish (US)
Title of host publication2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2010
DOIs
StatePublished - Dec 1 2010
Event2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2010 - Marrakech, Morocco
Duration: Jun 20 2010Jun 23 2010

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Other

Other2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2010
CountryMorocco
CityMarrakech
Period06/20/1006/23/10

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Information Systems

Fingerprint

Dive into the research topics of 'On the fluctuations of the mutual information for non centered MIMO channels: The non Gaussian case'. Together they form a unique fingerprint.

Cite this