Exact symbol error probability of a cooperative network in a rayleigh-fading environment

Paul A. Anghel, Mostafa Kaveh

Research output: Contribution to journalArticlepeer-review

780 Scopus citations


In a distributed spatial diversity wireless system, not all antennas are located at one station as in classical transmit diversity systems, but are dispersed at different, possibly mobile, stations in the network. Transmit diversity is created when the selected stations assist a sender by relaying its information signal to the destination. In this letter, we present an exact average symbol error rate analysis for the distributed spatial diversity wireless system with K amplifying relays in a Rayleigh-fading environment. The average symbol error rate formula allows us to clearly illustrate the advantage that the distributed diversity system has in overcoming the severe penalty in signal-to-noise ratio caused by Rayleigh fading. Using simple bounds on the probability of error, we show that the cooperative network presented in this letter achieves full diversity order.

Original languageEnglish (US)
Pages (from-to)1416-1421
Number of pages6
JournalIEEE Transactions on Wireless Communications
Issue number5
StatePublished - Sep 2004

Bibliographical note

Funding Information:
Manuscript received August 13, 2002; revised February 17, 2003; accepted June 23, 2003. The editor coordinating the review of this paper and approving it for publication is C. Tellambura. This work was supported in part by the National Science Foundation under the Wireless Initiative Program Grant 9979443.


  • Average symbol error probability
  • Cooperative networks
  • Diversity


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