Paper Info
Title
A Precise Approximation for Performance Evaluation of Amplify-and-Forward Multihop Relaying Systems
Abstract
The instantaneous end-to-end received signal-to-noise ratio (SNR) in K-hop amplify-and-forward (AF) relaying systems is commonly upper bounded by 1/k of the harmonic mean of the individual per-hop instantaneous SNRs. It is shown that performance results in Nakagami-m fading of AF multihop relaying systems obtained based on this upper bound are not tight for small values of SNR or for larger values of the Nakagami parameter and, depending on certain channel conditions, these bounds may become looser as the number of hops increases. A new approximation to the instantaneous end-to-end received SNR is introduced in the form of a scaled version of the harmonic mean of the individual per-hop SNRs. The scaling factor is determined based on the average link SNRs. Performance results evaluated using the proposed approximation are more accurate than all performance bounds previously reported in the literature, even though they are obtained with the same computational complexity. Numerical results show that the approximate performance results are very close to the exact results especially in small SNR regimes or for larger values of the Nakagami parameter.
Year
DOI
Venue
2011
10.1109/TWC.2011.101811.101133
IEEE Transactions on Wireless Communications
Keywords
Field
DocType
Nakagami channels,amplify and forward communication,communication complexity,K-hop amplify-and-forward relaying system,Nakagami-m fading,amplify-and-forward multihop relaying system,computational complexity,harmonic mean,performance evaluation,signal-to-noise ratio,Amplify-and-forward,ergodic capacity,error probability,multihop relaying,outage probability,performance evaluation
Scale factor,Applied mathematics,Fading,Harmonic mean,Upper and lower bounds,Signal-to-noise ratio,Communication complexity,Real-time computing,Nakagami distribution,Statistics,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
10
12
1536-1276
Citations 
PageRank 
References 
10
0.62
7
Authors
3
Name
Order
Citations
PageRank
Norman C. Beaulieu12372285.49
Golnaz Farhadi236323.61
Yunfei Chen319414.22