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

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

doi:10.1109/ICC.2006.255727

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 proceeding › Conference 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 language	English (US)
Title of host publication	2006 IEEE International Conference on Communications, ICC 2006
Pages	4125-4129
Number of pages	5
Volume	9
DOIs	https://doi.org/10.1109/ICC.2006.255727
State	Published - Dec 1 2006
Event	2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey Duration: Jul 11 2006 → Jul 15 2006

Other

Other	2006 IEEE International Conference on Communications, ICC 2006
Country	Turkey
City	Istanbul
Period	7/11/06 → 7/15/06

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Electrical and Electronic Engineering

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10.1109/ICC.2006.255727

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title = "Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications",

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.",

author = "Giuseppa Alfano and Tulino, {Antonia M.} and Angel Lozano and Sergio Verd{\'u}",

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Alfano, G, Tulino, AM, 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, 4025129, pp. 4125-4129, 2006 IEEE International Conference on Communications, ICC 2006, Istanbul, Turkey, 7/11/06. https://doi.org/10.1109/ICC.2006.255727

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AU - Alfano, Giuseppa

AU - Tulino, Antonia M.

AU - Lozano, Angel

AU - Verdú, Sergio

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N2 - 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.

AB - 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.

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

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