Title :
Accuracy of Harmonic Mean Approximation in Performance Analysis of Multihop Amplify-and-Forward Relaying
Author :
Behnad, Aydin ; Xianbin Wang
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Western Ontario, London, ON, Canada
Abstract :
The accuracy of the harmonic mean approximation (HMA) of the exact end-to-end signal-to-noise ratio (SNR) in multihop amplify-and-forward (AF) relaying systems is analyzed. A lower bound for the exact end-to-end SNR is obtained as a function of the HMA. It is shown that HMA overestimates the exact value but no more than 0.5, regardless of the number of hops and the fading model being used. Then, performance bounds for multihop AF relaying systems, including upper and lower bounds for the exact outage probability, average symbol error probability, and ergodic capacity, are obtained using HMA.
Keywords :
amplify and forward communication; approximation theory; fading channels; probability; relay networks (telecommunication); end-to-end signal-to-noise ratio; ergodic capacity; exact outage probability; fading model; harmonic mean approximation; multihop AF relaying systems; multihop amplify-and-forward relaying; symbol error probability; Approximation methods; Error probability; Fading; Harmonic analysis; Signal to noise ratio; Upper bound; Wireless communication; Amplify-and-forward; cooperative networks; fading channels; harmonic mean; multihop relaying;
Journal_Title :
Wireless Communications Letters, IEEE
DOI :
10.1109/WCL.2013.113013.130653
