Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications

Giuseppa Alfano, Antonia M. Tulino, Angel Lozano, Sergio Verdú

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

20 Scopus citations

Abstract

This paper characterizes the marginal probability density function of an unordered eigenvalue of finite-dimensional random matrices of particular interest in MIMO (multiple-input multiple-output) wireless communications. Specifically, a technique is presented for deriving the eigenvalue statistics in one-side correlated Rayleigh-faded channels and in Ricean-faded channels, with or without cochannel interferers. The exact expressions found turn out to be extremely useful in calculating information-theoretic quantities. As an application, we calculate the ergodic mutual information for all the abovementioned channel fading conditions, obtaining a closed form formula for the Rayleigh case and, in turn, a series expression for the Ricean faded one.

Original languageEnglish (US)
Title of host publication2006 IEEE International Conference on Communications, ICC 2006
Pages4125-4129
Number of pages5
Volume9
DOIs
StatePublished - Dec 1 2006
Event2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey
Duration: Jul 11 2006Jul 15 2006

Other

Other2006 IEEE International Conference on Communications, ICC 2006
CountryTurkey
CityIstanbul
Period7/11/067/15/06

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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    Alfano, G., Tulino, A. M., Lozano, A., & Verdú, S. (2006). Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications. In 2006 IEEE International Conference on Communications, ICC 2006 (Vol. 9, pp. 4125-4129). [4025129] https://doi.org/10.1109/ICC.2006.255727