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Saddlepoint approximation to the outage capacity of MIMO channels

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Abstract

We put forth a saddlepoint approximation for the outage capacity of multiple-input multiple-output (MIMO) systems using the exact moment generating function of the capacity. We consider both uncorrelated and spatially correlated Rayleigh-fading channels. Our results show that the saddlepoint method gives a remarkably accurate approximation to the outage capacity even at extremely low outage probabilities.

Original languageEnglish
Article number1705929
Pages (from-to)2679-2684
Number of pages6
JournalIEEE Transactions on Wireless Communications
Volume5
Issue number10
DOIs
Publication statusPublished - Oct 2006

Bibliographical note

Funding Information:
Manuscript received January 8, 2005; revised September 27, 2005; accepted October 31, 2005. The associate editor coordinating the review of this paper and approving it for publication was V. K. N. Lau. This research was supported in part by the Korea Research Foundation Grant funded by the Korea Government(KRF-2004-214-D00337), the National Research Laboratory (NRL) Program of Korea, the Charles Stark Draper Endowment, the Office of Naval Research Young Investigator Award N00014-03-1-0489, and the National Science Foundation under Grant ANI-0335256.

Keywords

  • Channel capacity
  • Multiple-input multiple-output (MIMO) system
  • Outage capacity
  • Rayleigh fading
  • Saddlepoint approximation (SPA)
  • Spatial fading correlation

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