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

21 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
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4125-4129
Number of pages	5
ISBN (Print)	1424403553, 9781424403554
DOIs	https://doi.org/10.1109/ICC.2006.255727
State	Published - 2006
Event	2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey Duration: Jul 11 2006 → Jul 15 2006

Publication series

Name	IEEE International Conference on Communications
Volume	9
ISSN (Print)	0536-1486

Other

Other	2006 IEEE International Conference on Communications, ICC 2006
Country/Territory	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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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 (pp. 4125-4129). Article 4025129 (IEEE International Conference on Communications; Vol. 9). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICC.2006.255727

@inproceedings{41a1f40078d54b85877a5cb9059733d2,

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}",

year = "2006",

doi = "10.1109/ICC.2006.255727",

language = "English (US)",

isbn = "1424403553",

series = "IEEE International Conference on Communications",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4125--4129",

booktitle = "2006 IEEE International Conference on Communications, ICC 2006",

address = "United States",

note = "2006 IEEE International Conference on Communications, ICC 2006 ; Conference date: 11-07-2006 Through 15-07-2006",

}

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., 4025129, IEEE International Conference on Communications, vol. 9, Institute of Electrical and Electronics Engineers Inc., pp. 4125-4129, 2006 IEEE International Conference on Communications, ICC 2006, Istanbul, Turkey, 7/11/06. https://doi.org/10.1109/ICC.2006.255727

Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications. / Alfano, Giuseppa; Tulino, Antonia M.; Lozano, Angel et al.
2006 IEEE International Conference on Communications, ICC 2006. Institute of Electrical and Electronics Engineers Inc., 2006. p. 4125-4129 4025129 (IEEE International Conference on Communications; Vol. 9).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications

AU - Alfano, Giuseppa

AU - Tulino, Antonia M.

AU - Lozano, Angel

AU - Verdú, Sergio

PY - 2006

Y1 - 2006

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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SN - 9781424403554

T3 - IEEE International Conference on Communications

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BT - 2006 IEEE International Conference on Communications, ICC 2006

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2006 IEEE International Conference on Communications, ICC 2006

Y2 - 11 July 2006 through 15 July 2006

ER -

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

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