## Outage Probability of Wireless Relay Communication System with Three Sections in the Presence of Nakagami-m Short Term Fading

 AUTHOR(S):  Danijela Aleksic, Dragana Krstic, Zoran Popovic, Ivana Dinic, Mihajlo Stefanovic TITLE Outage Probability of Wireless Relay Communication System with Three Sections in the Presence of Nakagami-m Short Term Fading PDF ABSTRACT The wireless relay communication system with three sections operating over Nakagami-m multipath fading channel is the topic of this work. The outage probability of proposed relay system is calculated for two cases. In the first case, the outage probability is evaluated when it is defined as probability that signal envelope falls below the specified threshold at any section. In the second case, the outage probability is calculated when it is defined as probability that output signal envelope is lower than predetermined threshold. For the first case, the outage probability is calculated by using cumulative distribution function of minimum of three Nakagami-m random variables. For the second case, the outage probability is evaluated by using the cumulative distribution function of product of three Nakagami-m random variables. Numerical expressions for the outage probability of wireless relay communication system are presented graphically and the influence of Nakagami-m parameter from each section on the outage probability is estimated. KEYWORDS Nakagami-m short term fading, relay communication system, outage probability REFERENCES [1] M. K. Simon, M. S. Alouini, Digital Communication over Fading Channels, USA: John Wiley & Sons, 2000. [2] S. Panic, M. Stefanovic, J. Anastasov, P. Spalevic, Fading and Interference Mitigation in Wireless Communications, CRC Press, USA, 2013. [3] M. K. Mishra, N. Sood, A. K. Sharma, “Efficient BER Analysis of OFDM System over Nakagami-m Fading Channel”, International Journal of Advanced Science and Technology, Vol. 37, Dec. 2011, pp. 37-46. [4] H. Popovic, D. Stefanovic, A. Mitic, I. Stefanovic, “Some Statistical Characteristics of Nakagami-m Distribution”, 8th International Conf. on Telecom. In Modern Satellite, Cable and Broadcasting Services, Nis, Serbia, 26-28 Sept. 2007. [5] A. Annamalai, C. Tellambura, V. Bhargava, “Unified analysis of equal-gain diversity on Rician and Nakagami fading channels,” in Proc. Wireless Commun. Networking Conf., 1999, pp.10–14. [6] Z. Kang, K. Yao, F. Lorenzelli, “Nakagami-m fading modeling in the frequency domain for OFDM system analysis”, IEEE Commun. Lett., vol. 7, no. 10, pp. 484–486, Oct. 2003. [7] Z. Du, J. Cheng, N. C. Beaulieu, “Asymptotic BER performance of OFDM in Frequency Selective Nakagami-m Channels”, IEEE Conference on Vehicular Technology, vol. 1, pp. 612- 615, Sept. 2004. [8] N. C. Beaulieu, J. Cheng, “Precise error rate analysis of bandwidth efficient BPSK in Nakagami fading and co-channel interference”, IEEE Trans. Commun., Vol.52, pp. 149-158, Jan. 2004. [9] D. Krstic, M. Stefanovic, V. Milenkovic, M.M.B. Yassein, S. Aljawarneh, Z. Popovic, „Wireless Relay System with Two Sections in the Presence of κ-μ and η-μ Multipath Fading“, accepted for the IEEE ICIoTPS 2016, Agadir, Morroco, September 22-24, 2016. [10] D. Krstic, M. Stefanovic, R. Gerov, Z. Popovic, “Wireless Relay System with Two Sections in κ-µ Short Term Fading Channel”, in press [11] http://mathworld.wolfram.com/GammaFunctio n.html Cite this paper Danijela Aleksic, Dragana Krstic, Zoran Popovic, Ivana Dinic, Mihajlo Stefanovic. (2016) Outage Probability of Wireless Relay Communication System with Three Sections in the Presence of Nakagami-m Short Term Fading. International Journal of Communications, 1, 199-204 Copyright © 2017 Author(s) retain the copyright of this article.This article is published under the terms of the Creative Commons Attribution License 4.0