### Abstract

We present closed-form bounds for the performance of multihop transmissions with non-regenerative relays over Nakagami-m fading channels. The end-to-end signal-to-noise ratio (SNR) is formulated and upper bounded by using the inequality between harmonic and geometric mean of positive random variables (RVs). Novel closed-form expressions are derived for the moment generating function, the probability density function, and the cumulative distribution function of the product of arbitrary powers of statistically independent Gamma RVs in terms of the Meijer's G-function. Using these theoretical results, closed-form lower bounds are obtained for the outage and average bit error probability of phase or frequency modulated signallings, while simple asymptotic expressions are also given for the bounds at high SNRs. 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 | IEEE International Conference on Communications |

Pages | 2362-2366 |

Number of pages | 5 |

Volume | 4 |

Publication status | Published - 2005 |

Externally published | Yes |

Event | 2005 IEEE International Conference on Communications, ICC 2005 - Seoul, Korea, Republic of Duration: May 16 2005 → May 20 2005 |

### Other

Other | 2005 IEEE International Conference on Communications, ICC 2005 |
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Country | Korea, Republic of |

City | Seoul |

Period | 5/16/05 → 5/20/05 |

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### ASJC Scopus subject areas

- Media Technology

### Cite this

*IEEE International Conference on Communications*(Vol. 4, pp. 2362-2366)

**Closed-form bounds for multihop relayed communications in Nakagami-m fading.** / Karagiannidis, George K.; Tsiftsis, Theodoros A.; Mallik, Ranjan K.; Sagias, Nikos C.; Kotsopoulos, Stavros A.

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

*IEEE International Conference on Communications.*vol. 4, pp. 2362-2366, 2005 IEEE International Conference on Communications, ICC 2005, Seoul, Korea, Republic of, 5/16/05.

}

TY - GEN

T1 - Closed-form bounds for multihop relayed communications in Nakagami-m fading

AU - Karagiannidis, George K.

AU - Tsiftsis, Theodoros A.

AU - Mallik, Ranjan K.

AU - Sagias, Nikos C.

AU - Kotsopoulos, Stavros A.

PY - 2005

Y1 - 2005

N2 - We present closed-form bounds for the performance of multihop transmissions with non-regenerative relays over Nakagami-m fading channels. The end-to-end signal-to-noise ratio (SNR) is formulated and upper bounded by using the inequality between harmonic and geometric mean of positive random variables (RVs). Novel closed-form expressions are derived for the moment generating function, the probability density function, and the cumulative distribution function of the product of arbitrary powers of statistically independent Gamma RVs in terms of the Meijer's G-function. Using these theoretical results, closed-form lower bounds are obtained for the outage and average bit error probability of phase or frequency modulated signallings, while simple asymptotic expressions are also given for the bounds at high SNRs. Numerical results are compared to computer simulations, to show the tightness of the proposed bounds.

AB - We present closed-form bounds for the performance of multihop transmissions with non-regenerative relays over Nakagami-m fading channels. The end-to-end signal-to-noise ratio (SNR) is formulated and upper bounded by using the inequality between harmonic and geometric mean of positive random variables (RVs). Novel closed-form expressions are derived for the moment generating function, the probability density function, and the cumulative distribution function of the product of arbitrary powers of statistically independent Gamma RVs in terms of the Meijer's G-function. Using these theoretical results, closed-form lower bounds are obtained for the outage and average bit error probability of phase or frequency modulated signallings, while simple asymptotic expressions are also given for the bounds at high SNRs. Numerical results are compared to computer simulations, to show the tightness of the proposed bounds.

UR - http://www.scopus.com/inward/record.url?scp=24144476962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24144476962&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:24144476962

VL - 4

SP - 2362

EP - 2366

BT - IEEE International Conference on Communications

ER -