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A Novel Equivalent Definition of Modified Bessel Functions for Performance Analysis of Multi-Hop Wireless Communication Systems

Molu, MM, Xiao, Pei, Khalily, Mohsen, Zhang, Lei and Tafazolli, Rahim (2017) A Novel Equivalent Definition of Modified Bessel Functions for Performance Analysis of Multi-Hop Wireless Communication Systems IEEE Access, 5. pp. 7594-7605.

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Abstract

A statistical model is derived for the equivalent signal-to-noise ratio of the Source-to-Relay-to-Destination (S-R-D) link for Amplify-and-Forward (AF) relaying systems that are subject to block Rayleigh-fading. The probability density function and the cumulated density function of the S-R-D link SNR involve modified Bessel functions of the second kind. Using fractional-calculus mathematics, a novel approach is introduced to rewrite those Bessel functions (and the statistical model of the S-R-D link SNR) in series form using simple elementary functions. Moreover, a statistical characterization of the total receive-SNR at the destination, corresponding to the S-R-D and the S-D link SNR, is provided for a more general relaying scenario in which the destination receives signals from both the relay and the source and processes them using maximum ratio combining (MRC). Using the novel statistical model for the total receive SNR at the destination, accurate and simple analytical expressions for the outage probability, the bit error probability, and the ergodic capacity are obtained. The analytical results presented in this paper provide a theoretical framework to analyze the performance of the AF cooperative systems with an MRC receiver.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Molu, MMUNSPECIFIEDUNSPECIFIED
Xiao, PeiP.Xiao@surrey.ac.ukUNSPECIFIED
Khalily, Mohsenm.khalily@surrey.ac.ukUNSPECIFIED
Zhang, Leilei.zhang@surrey.ac.ukUNSPECIFIED
Tafazolli, RahimR.Tafazolli@surrey.ac.ukUNSPECIFIED
Date : 9 May 2017
Identification Number : 10.1109/ACCESS.2017.2685085
Copyright Disclaimer : (c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works
Uncontrolled Keywords : Modified bessel function of second kind, amplify and forward (AF), maximum ratio combining (MRC).
Depositing User : Melanie Hughes
Date Deposited : 29 Jun 2017 10:57
Last Modified : 13 Sep 2017 17:32
URI: http://epubs.surrey.ac.uk/id/eprint/841507

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