Finite diversity multiplexing tradeoff over spatially correlated channels

Z. Rezki; B. Cotruta; David Haccoun; François Gagnon

doi:10.1109/VTCF.2006.111

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 proceeding › Conference contribution › peer-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 language	English (US)
Title of host publication	2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall
Pages	494-498
Number of pages	5
DOIs	https://doi.org/10.1109/VTCF.2006.111
State	Published - 2006
Externally published	Yes
Event	2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall - Montreal, QC, Canada Duration: Sep 25 2006 → Sep 28 2006

Publication series

Name	IEEE Vehicular Technology Conference
ISSN (Print)	1550-2252

Other

Other	2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall
Country/Territory	Canada
City	Montreal, QC
Period	09/25/06 → 09/28/06

ASJC Scopus subject areas

Applied Mathematics
Electrical and Electronic Engineering
Computer Science Applications

Access to Document

10.1109/VTCF.2006.111

Cite this

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title = "Finite diversity multiplexing tradeoff over spatially correlated channels",

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.",

author = "Z. Rezki and B. Cotruta and David Haccoun and Fran{\c c}ois Gagnon",

year = "2006",

doi = "10.1109/VTCF.2006.111",

language = "English (US)",

isbn = "1424400635",

series = "IEEE Vehicular Technology Conference",

pages = "494--498",

booktitle = "2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall",

note = "2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall ; Conference date: 25-09-2006 Through 28-09-2006",

}

Rezki, Z, Cotruta, B, Haccoun, D & Gagnon, F 2006, Finite diversity multiplexing tradeoff over spatially correlated channels. in 2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall., 4109376, IEEE Vehicular Technology Conference, pp. 494-498, 2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall, Montreal, QC, Canada, 09/25/06. https://doi.org/10.1109/VTCF.2006.111

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AU - Rezki, Z.

AU - Cotruta, B.

AU - Haccoun, David

AU - Gagnon, François

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

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U2 - 10.1109/VTCF.2006.111

DO - 10.1109/VTCF.2006.111

M3 - Conference contribution

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SN - 1424400635

SN - 9781424400638

T3 - IEEE Vehicular Technology Conference

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BT - 2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall

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Y2 - 25 September 2006 through 28 September 2006

ER -

Finite diversity multiplexing tradeoff over spatially correlated channels

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