AUTHORS: Danijela Aleksić, Dragana Krstić, Zoran Popovic, Vladeta Milenkovic, Mihajlo Stefanovic

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ABSTRACT: The wireless relay communication system with three sections operating over Nakagami-m multipath fading channel is determined in this work. The outage probability of proposed relay system is calculated for two cases. In the first case, the outage probability is defined as probability that signal envelope falls below the specified threshold at any section. In the second case, the outage probability 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. Then, the probability density functions and cumulative distribution functions of the ratios of product of two Nakagami-m random variables and Nakagami-m random variable and the ratio of Nakagami-m random variable and product of two Nakagami-m random variables are derived.

KEYWORDS: Nakagami-m short term fading, relay communication system, outage probability

REFERENCES:

[1] D. Aleksic, D. Krstic, Z. Popovic, I. Dinic, M. Stefanovic, “Outage Probability of Wireless Relay Communication System with Three Sections in the Presence of Nakagami-m Short Term Fading”, 14th International Conference on Electronics, Hardware, Wireless and Optical Communications (EHAC '16), Mallorca, Spain, August 19-21, 2016.

[2] M. K. Simon, M. S. Alouini, Digital Communication over Fading Channels, USA: John Wiley & Sons, 2000.

[3] S. Panic, M. Stefanovic, J. Anastasov, P. Spalevic, Fading and Interference Mitigation in Wireless Communications, CRC Press, USA, 2013.

[4] 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.

[5] 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.

[6] 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.

[7] 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.

[8] 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.

[9] 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.

[10] 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.

[11] D. Krstic, M. Stefanovic, R. Gerov, Z. Popovic, “Wireless Relay System with Two Sections in κ-µ Short Term Fading Channel”, The Twelfth International Conference on Wireless and Mobile Communications, ICWMC 2016 November 13 - 17, 2016 - Barcelona, Spain, in press

[12] http://mathworld.wolfram.com/GammaFunctio n.html

[13] D. Krstic, M. Stefanovic, V. Milenkovic, D. Radenkovic, H. Ivanov, E. Leitgeb, „Performance of Wireless System in the Presence of k-μ Multipath Fading, Gamma Shadowing and k-μ Cochannel Interference“, IEICE Information and Communication Technology Forum 2016, The 2016 IEICE ICTF, 6th of July - 8th of July 2016, Patras, Greece

[14] M. Delibasic, M. Pejanovic-Djurisic, R. Prasad, “Performance Analysis of Dual-Hop Relay System over Ricean Fading Channels”, Telfor Journal, Vol. 6, No. 2, 2014, pp. 92-96.

[15] Modified Bessel Function of the Second Kind, http://mathworld.wolfram.com/ModifiedBessel FunctionoftheSecondKin d.html

[16] S. Nadarajah, S. Kotz, “On the ratio of Pearson type VII and Bessel random variables”, Journal of Applied Mathematics and Decision Sciences, vol. 2005, no. 4, pp. 191–199.

[17] M. C. Stefanovic, D. LJ. Draca, A. S. Panajotovic, N. M. Sekulovic, “Performance analysis of system with L-branch selection combining over correlated Weibull fading channels in the presence of cochannel interference”, International Journal of Communication Systems, 2010, ol. 23, no. 2, pp. 139–150.

[18] E. W. Weisstein, 'Hypergeometric Function.' From MathWorld-A Wolfram, http://mathworld.wolfram.com/Hypergeometric Function.html

[19] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. New York: Academic, 2007