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Journal of Engineering
Volume 2013, Article ID 325045, 6 pages
Research Article

Symbol Error Probability of DF Relay Selection over Arbitrary Nakagami- Fading Channels

1Athens Information Technology, 19.5 km Markopoulo Avenue, 19002 Peania, Athens, Greece
2University of Leeds, Leeds LS2 9JT, UK
3HCMC University of Technology, 268 Ly Thuong Kiet, 84 HoChiMinh City, Vietnam

Received 31 January 2013; Accepted 26 August 2013

Academic Editor: Haranath Kar

Copyright © 2013 George C. Alexandropoulos et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a new analytical expression for the moment generating function (MGF) of the end-to-end signal-to-noise ratio of dual-hop decode-and-forward (DF) relaying systems with relay selection when operating over Nakagami- fading channels. The derived MGF expression, which is valid for arbitrary values of the fading parameters of both hops, is subsequently utilized to evaluate the average symbol error probability (ASEP) of -ary phase shift keying modulation for the considered DF relaying scheme under various asymmetric fading conditions. It is shown that the MGF-based ASEP performance evaluation results are in excellent agreement with equivalent ones obtained by means of computer simulations, thus validating the correctness of the presented MGF expression.