Diversity gains and clustering in wireless relaying

Melda Yuksel, Elza Erkip

Research output: Contribution to journalConference articlepeer-review


We consider a wireless system consisting of one source, one destination and M relays. Assuming path loss and Rayleigh fading, we use the cutset upper bound to show that no matter where the relays are located, the maximum diversity one can obtain is M + 1. However, one can achieve a higher diversity gain, namely ⌊(M+2/2)2⌋, if ⌊M/2⌋ of the relays are clustered with the source and ⌈M/2⌉ with the destination. This result utilizes the observation that if two wireless nodes are very close, Rayleigh assumption breaks and the proper channel model is additive white Gaussian noise (AWGN). Hence to realize a virtual multi-input multi-output (MIMO) system, clustering is essential.

Original languageEnglish (US)
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
StatePublished - 2004
EventProceedings - 2004 IEEE International Symposium on Information Theory - Chicago, IL, United States
Duration: Jun 27 2004Jul 2 2004

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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