Harmonic Mean and End-to-End Performance of Transmission Systems With Relays

Mazen O. Hasna; Mohamed Slim Alouini

doi:10.1109/TCOMM.2003.822185

Harmonic Mean and End-to-End Performance of Transmission Systems With Relays

Mazen O. Hasna^*, Mohamed Slim Alouini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

412 Scopus citations

Abstract

Closed-form expressions for the statistics of the harmonic mean of two independent and identically distributed gamma variates are presented. The probability density function of the harmonic mean of two F variates is also derived. These statistical results are then applied to study the performance of wireless communication systems with nonregenerative relays over flat Nakagami fading channels. More specifically, outage probability formulas for noise-limited systems as well as systems affected by interference are obtained. Furthermore, general expressions for average biterror rates are also derived. Finally, comparisons between regenerative and nonregenerative systems are presented. Numerical results show that the former systems clearly outperform the latter ones for low average signal-to-noise ratios (SNRs). They also show that the two systems have similar performance at high average SNRs.

Original language	English (US)
Pages (from-to)	130-135
Number of pages	6
Journal	IEEE Transactions on Communications
Volume	52
Issue number	1
DOIs	https://doi.org/10.1109/TCOMM.2003.822185
State	Published - Jan 2004
Externally published	Yes

Keywords

Average bit-error rate (BER)
Collaborative/cooperative/multiuser diversity
Harmonic mean
Multihop transmission
Nakagami fading
Outage probability

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCOMM.2003.822185

Cite this

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title = "Harmonic Mean and End-to-End Performance of Transmission Systems With Relays",

abstract = "Closed-form expressions for the statistics of the harmonic mean of two independent and identically distributed gamma variates are presented. The probability density function of the harmonic mean of two F variates is also derived. These statistical results are then applied to study the performance of wireless communication systems with nonregenerative relays over flat Nakagami fading channels. More specifically, outage probability formulas for noise-limited systems as well as systems affected by interference are obtained. Furthermore, general expressions for average biterror rates are also derived. Finally, comparisons between regenerative and nonregenerative systems are presented. Numerical results show that the former systems clearly outperform the latter ones for low average signal-to-noise ratios (SNRs). They also show that the two systems have similar performance at high average SNRs.",

keywords = "Average bit-error rate (BER), Collaborative/cooperative/multiuser diversity, Harmonic mean, Multihop transmission, Nakagami fading, Outage probability",

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AB - Closed-form expressions for the statistics of the harmonic mean of two independent and identically distributed gamma variates are presented. The probability density function of the harmonic mean of two F variates is also derived. These statistical results are then applied to study the performance of wireless communication systems with nonregenerative relays over flat Nakagami fading channels. More specifically, outage probability formulas for noise-limited systems as well as systems affected by interference are obtained. Furthermore, general expressions for average biterror rates are also derived. Finally, comparisons between regenerative and nonregenerative systems are presented. Numerical results show that the former systems clearly outperform the latter ones for low average signal-to-noise ratios (SNRs). They also show that the two systems have similar performance at high average SNRs.

KW - Average bit-error rate (BER)

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Harmonic Mean and End-to-End Performance of Transmission Systems With Relays

Abstract

Keywords

ASJC Scopus subject areas

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