### Abstract

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 language | English (US) |
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Title of host publication | IEEE International Symposium on Information Theory - Proceedings |

Pages | 400 |

Number of pages | 1 |

State | Published - 2004 |

Event | Proceedings - 2004 IEEE International Symposium on Information Theory - Chicago, IL, United States Duration: Jun 27 2004 → Jul 2 2004 |

### Other

Other | Proceedings - 2004 IEEE International Symposium on Information Theory |
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Country | United States |

City | Chicago, IL |

Period | 6/27/04 → 7/2/04 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE International Symposium on Information Theory - Proceedings*(pp. 400)

**Diversity gains and clustering in wireless relaying.** / Yuksel, Melda; Erkip, Elza.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IEEE International Symposium on Information Theory - Proceedings.*pp. 400, Proceedings - 2004 IEEE International Symposium on Information Theory, Chicago, IL, United States, 6/27/04.

}

TY - GEN

T1 - Diversity gains and clustering in wireless relaying

AU - Yuksel, Melda

AU - Erkip, Elza

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=5044252301&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5044252301&partnerID=8YFLogxK

M3 - Conference contribution

SP - 400

BT - IEEE International Symposium on Information Theory - Proceedings

ER -