A novel equivalent definition of modified Bessel functions for performance analysis of multi-hop wireless communication systems

Molu, M. M., Xiao, P., Khalily, M., Zhang, L. and Tafazolli, R. (2017) A novel equivalent definition of modified Bessel functions for performance analysis of multi-hop wireless communication systems. IEEE Access, 5, pp. 7594-7605. (doi: 10.1109/ACCESS.2017.2685085)

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: Articles
• Additional Information: This work was supported by the Engineering and Physical Sciences Research Council through Informed RF for 5G and Beyond project under Grant EP/N020391/1.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Zhang, Professor Lei
• Authors: Molu, M. M., Xiao, P., Khalily, M., Zhang, L., and Tafazolli, R.
• College/School: College of Science and Engineering > School of Engineering
• Journal Name: IEEE Access
• Publisher: IEEE
• ISSN: 2169-3536
• ISSN (Online): 2169-3536
• Published Online: 09 May 2017
• Copyright Holders: copyright © 2017 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission.
• First Published: First published in IEEE Access 5:7594-7605
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher