On the impact of spatial correlation on the finite diversity-multiplexing tradeoff

Zouheir Rezki*, David Haccoun, François Gagnon, Wessam Ajib

*Corresponding author for this work

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

Abstract

We present a tight lower bound on the outage probability of a spatially correlated multielement antenna (MEA) channel. Using this lower bound, an accurate finite-SNR estimate of the diversity-multiplexing tradeoff over a spatially correlated Rayleigh fading channel is derived. This estimate allows gaining insight on the impact of spatial correlation on the diversity- multiplexing tradeoff at finite SNR. As expected, the diversity multiplexing tradeoff is severely degraded as the spatial correlation increases. For example, a MIMO system operating at a transmission rate of R = rlog2(1 + g · η) bps/Hz, where r is the multiplexing gain, g is the array gain and η is the SNR at each receive antenna, and an SNR of 5 dB in a moderately correlated channel, achieves a better diversity gain than a system operating at an SNR of 10 dB in a highly correlated channel, when r > 0.8. Another interesting point is that the maximum diversity gain is not affected by the correlation, provided that the spatial channel correlation matrix is of full rank.

Original languageEnglish (US)
Title of host publication3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06
Pages214-218
Number of pages5
DOIs
StatePublished - 2006
Externally publishedYes
Event3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06 - Valencia, Spain
Duration: Sep 5 2006Sep 8 2006

Other

Other3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06
CountrySpain
CityValencia
Period09/5/0609/8/06

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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