### Abstract

We present closed-form bounds for the performance of broadband multihop networks with cooperative diversity over Nakagami-m fading channels. The end-to-end signal-to-noise ratio is formulated and upper bounded by using the inequality between harmonic and geometric means of positive random variables (RVs). Novel closed-form expression is derived for the moment generating function of the product of arbitrary powers of statistically independent Gamma RVs. Using this theoretical result, closed-form lower bounds are obtained for the average error probability. Numerical results are compared to computer simulations, to show the tightness of the proposed bounds.

Original language | English |
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Title of host publication | Proceedings of the 5th International Network Conference, INC 2005 |

Publisher | Plymouth University |

Pages | 387-392 |

Number of pages | 6 |

ISBN (Print) | 9781841022727 |

Publication status | Published - Jan 1 2005 |

Event | 5th International Network Conference, INC 2005 - Samos, Greece Duration: Jul 5 2005 → Jul 7 2005 |

### Publication series

Name | Proceedings of the 5th International Network Conference, INC 2005 |
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### Other

Other | 5th International Network Conference, INC 2005 |
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Country | Greece |

City | Samos |

Period | 7/5/05 → 7/7/05 |

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### Keywords

- Average error probability
- Cooperative diversity
- Gamma RVs
- Moment generating function
- Multihop networks
- Nakagami-m fading

### ASJC Scopus subject areas

- Computer Networks and Communications

### Cite this

*Proceedings of the 5th International Network Conference, INC 2005*(pp. 387-392). (Proceedings of the 5th International Network Conference, INC 2005). Plymouth University.