Explicit bounds for the outage probability for multiple antenna systems in the presence of spatial correlation

Hao Shen*, Ali Ghrayeb

*Corresponding author for this work

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

Abstract

In this paper, we present a comprehensive analysis of the outage probability for multiple-input multiple-output (MIMO) systems over spatially correlated Rayleigh fading channels. In our analysis, we assume that 1) the channel state information (CSI) is perfectly known at the receiver but not at the transmitter, 2) the spatial correlation is present at both ends of the wireless communications link, 3) the transmit and receive correlation matrices may or may not be full rank, and 4) the underlying channel is quasi-static fading. With these assumptions, we derive explicit bounds for the outage probability and show that the diversity order is simply the product of the rank of the transmit correlation matrix and the rank of the receive correlation matrix. We also derive an expression that accurately quantifies the degradation in the signal-to-noise ratio (SNR) due to the presence of correlation. We present several numerical examples that validate our analysis.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Communications, ICC 2006
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4253-4257
Number of pages5
ISBN (Print)1424403553, 9781424403554
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey
Duration: 11 Jul 200615 Jul 2006

Publication series

NameIEEE International Conference on Communications
Volume9
ISSN (Print)0536-1486

Conference

Conference2006 IEEE International Conference on Communications, ICC 2006
Country/TerritoryTurkey
CityIstanbul
Period11/07/0615/07/06

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