TY - GEN
T1 - On the impact of spatial correlation on the finite diversity-multiplexing tradeoff
AU - Rezki, Zouheir
AU - Haccoun, David
AU - Gagnon, François
AU - Ajib, Wessam
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 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.
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 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.
UR - http://www.scopus.com/inward/record.url?scp=47249117178&partnerID=8YFLogxK
U2 - 10.1109/ISWCS.2006.4362290
DO - 10.1109/ISWCS.2006.4362290
M3 - Conference contribution
AN - SCOPUS:47249117178
SN - 1424403979
SN - 9781424403974
T3 - 3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06
SP - 214
EP - 218
BT - 3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06
T2 - 3rd International Symposium on Wireless Communication Systems 2006, ISWCS'06
Y2 - 5 September 2006 through 8 September 2006
ER -