Suad N Suljovic, Dejan Milic, Zorica Nikolic, Stefan Panic, Mihajlo Stefanovic, Djoko Bandjur

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In this paper, we consider wireless mobile radio communication system with macro diversity reception. Signal is subject to Weibull small scale fading and Gamma large scale fading resulting in system performance degradation. Receiver uses macro diversity selection combining (SC) technique in order to reduce the impact of long term fading effects, and two micro diversity SC branches are used to mitigate Weibull short term fading effects on system performance. Probability density function (PDF), and cumulative distribution function (CDF), as well as level crossing rate (LCR) and average fade duration (AFD) of the SC receiver output signal envelope are evaluated. The obtained expressions converge rapidly for all considered values of Weibull fading parameter and Gamma shadowing severity parameter. Mathematical results are studied in order to analyze the influence of Weibull fading parameter and Gamma shadowing severity parameter on statistical properties of the SC receiver output signal.


Weibull short term fading, probability density function, cumulative distribution function, level crossing rate, average fade duration

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N.C. Sagias, G.K. Karagiannidis, "Gaussian class multivariate Weibull distributions: Theory and applications in fading channels", IEEE Transactions on Information Theory, vol. 51, no. 10, 2005.

P.S. Bithas: "Weibull-gamma composite distribution: alternative multipath/shadowing fading model", Electronics Letters, vol. 45, Issue: 14, p. 749-751, 2009.

P.M. Shankar, "Analysis of micro diversity and dual channel macro diversity in shadowed fading channels using a compound fading model", International Journal of Electronics and Communications (AEUE), vol.62, pp.445-449, 2008.

D.B. Đosić, D.M. Stefanović, Č.M. Stefanović, "Level crossing rate of macro-diversity system with two micro-diversity SC receivers over correlated Gamma shadowed α–µ multipath fading channels", IETE Journal of Research, vol. 62 , Iss. 2, 2016.

Č. M. Stefanović, "Macro-diversity system with macro-diversity SSC receiver and two SC micro-diversity receivers in the presence of composite fading environment", In Proceedings of the 23rd Telecommunications Forum (TELFOR), Belgrade, pp. 321-324, 2015.

P. M. Shankar, "Performance analysis of diversity combining algorithms in shadowed fading channels", Wireless Personal Communications, vol. 37, issue 1, pp. 61-72, 2006.

A. Adinoyi, H. Yanikomeroglu, S. Loyka, "Hybrid macro-and generalized selection combining micro-diversity in lognormal shadowed Rayleigh fading channels", In Proceedings of the IEEE International Conference on Communications, vol. 1, 2004, pp. 244-248.

S. Mukherjee, D. Avidor, "Effect of micro-diversity and correlated macro-diversity on outages in a cellular system", IEEE Transactions on Wireless Communications, vol. 2, no. 1, pp. 50-58, 2003.

A. Papoulis and S. U. Pillai, "Probability, Random Variables, and Stochastic Processes", 4th (fourth) ed., Edition Mc Graw-Hill, London, UK, Europe, ISBN-13: 978-0070486584, 2002.

M. Stefanović, D. Milović, A. Mitić, M. Jakovljević, "Performance analysis of system with selection combining over correlated Weibull fading channels in the presence of co-channel interference", AEU - International Journal of Electronics and Communications, vol. 62, Issue 9, pp. 695-700, October 2008.

A. Golubović, N. Sekulović, M. Stefanović, D. Milić, "Performance analysis of dual-branch selection diversity system using Novel mathematical approach", Facta Universitatis, Series: Electronics and Energetics, vol. 30, no 2, , pp. 235 – 244, June 2017.

S. Suljović, D. Milić, S. Panić, "LCR of SC receiver output signal over α-κ-μ multipath fading channels", Facta Universitatis, Series: Electronics and Energetics, vol. 29, no, 2, pp. 261 – 268, June 2016.

W.C. Jakes, Microwave Mobile Communications, Piscataway, NJ: IEEE Press, 1994.

G. L. Stüber, Principles of Mobile Communications, Boston, Kluwer Academic Publishers, 1996.

F.-P. Calmon, M. D. Yacoub, MRCS–selecting maximal ratio combining signals: a practical hybrid diversity combining scheme, IEEE Trans. Wireless Communications, 2009.

B. Jaksić, D. Stefanović, M. Stefanović, P. Spalević, V. Milenković, "Level crossing rate of macro-diversity system in the presence of multipath fading and shadowing", Radio-engineering, vol. 24, no.1, 2015.

A. Marković, Z. Perić, D. Đošić, M. Smilić, B. Jakšić, "Level crossing rate of macro-diversity system over composite Gamma shadowed alpha-kappa-mu multipath fading channel", Facta Universitatis, Series: Automatic Control and Robotics, vol. 14, no 2, pp. 99 – 109, 2015.

M. Bandjur, N. Sekulović, M. Stefanović, A. Golubović, P. Spalević, D. Milić, "Second-order statistics of system with micro-diversity and macro-diversity reception in Gamma shadowed Rician fading Channels", ETRI Journal, vol. 35, no. 4, pp. 722-725, 2013.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 6th ed. New York: Academic Press, 2000.

N. Sekulović, M. Stefanović, "Performance analysis of system with micro- and macro-diversity reception in correlated Gamma shadowed Rician fading channels", Wireless Personal Communications, vol. 65, no.1, p. 143–156, 2012.

S. Panić, D. Stefanović, I. Petrović, M. Stefanović, J. Anastasov and D. Krstić, "Second-order statistics of selection macro-diversity system operating over Gamma shadowed κ-μ fading channels", EURASIP Journal on Wireless Communications and Networking, 2011.


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