Finite diversity multiplexing tradeoff over spatially correlated channels

Z. Rezki*, B. Cotruta, David Haccoun, François Gagnon

*Corresponding author for this work

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

2 Scopus citations

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 flnite-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 = rlog 2(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 unaffected by the correlation, provided that the spatial channel correlation matrix is of full rank.

Original languageEnglish (US)
Title of host publication2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall
Pages494-498
Number of pages5
DOIs
StatePublished - 2006
Externally publishedYes
Event2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall - Montreal, QC, Canada
Duration: Sep 25 2006Sep 28 2006

Other

Other2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall
CountryCanada
CityMontreal, QC
Period09/25/0609/28/06

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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