## 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) |
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Title of host publication | 2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall |

Pages | 494-498 |

Number of pages | 5 |

DOIs | |

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 |

### Other

Other | 2006 IEEE 64th Vehicular Technology Conference, VTC-2006 Fall |
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Country/Territory | Canada |

City | Montreal, QC |

Period | 09/25/06 → 09/28/06 |

## ASJC Scopus subject areas

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