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Tytuł artykułu

The distribution of ratio of random variable and product of two random variables and its application in performance analysis of multi-hop relaying communications over fading channels

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Warianty tytułu
PL
Rozkład stosunku zmiennych przypadkowych i iloczynu tych zmiennych oraz wykorzystanie tych parametrów do analizy systemów komunikacji bezprzewodowej
Języki publikacji
EN
Abstrakty
EN
In this paper, we present novel closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of ratio of random variable and product of two random variables for the cases where random variables are Rayleigh, Weibull, Nakagami-m and [alfa]-[my] distributed. An application of obtained results in performance analysis of multi-hop wireless communication systems in different transmission environments is detailed described. The proposed theoretical analysis is also complemented by various graphically presented numerical results.
PL
W artykule zaprezentowano wyrażenia na funkcję gęstości prawdopodobieństwa PDF i kumulacyjną funkcję dystrybucji stosunku zmiennej przypadkowej i iloczynu dwóch zmiennych, gdy zmienne przypadkowe są dystrybucją Rayleigh, Weibull, Nakagami-m i [alfa]-[my]. Analiza ma zastosowanie do bezprzewodowych sieci komunikacyjnych w różnych warunkach transmisji.
Rocznik
Strony
133--137
Opis fizyczny
Bibliogr. 21 poz., schem., wykr.
Twórcy
autor
autor
autor
  • State University of Novi Pazar, ul. Vuka Karadzica bb, 36300 Novi Pazar, Serbia, emekic@np.ac.rs
Bibliografia
  • [1] S. Nadarajah and S. Kotz, On the ratio of Pearson type VII and Bessel random variables, J. Appl. Math. Decis. Sci. (2005), 191-199
  • [2] T. Pham-Gia, Distributions of the ratios of independent beta variables and applications, Comm. Statist. Theory Methods, 29,(2000), 2693–2715
  • [3] G. K. Karagiannidis, Performance analysis of SIR-based dual selection diversity over correlated Nakagami-m fading channel”, IEEE Trans. Veh. Technol.,vol.52, (2003), 1207-1216
  • [4] M. Č. Stefanović, D.Lj. Drača, A.S. Panajotović and N.M. Sekulović, Performance analysis of system with L-branch selection combining over correlated Weibull fading channels in the presence of cochannel interference, Int. J. Commun. Syst., vol. 23, (2010), 139-150
  • [5] M. K.Simon and M.-S. Alouini: Digital Communication Over Fading Channels, 1st ed. New York: Wiley, (2000)
  • [6] G. E. Corazza and F. Vatalaro, A statistical model for land mobile satellite channels and its application to nongeostationary orbit systems, IEEE Trans. Veh. Technol., vol. 43 (1994), 738-741
  • [7] George K. Karagiannidis, Theodoros A. Tsiftsis, and Ranjan K. Mallik. Bounds for Multihop Relayed Communications in Nakagami-m Fading, Communications, IEEE Transactions 54 (2006) (1), 18–22
  • [8] Caijun Zhong, Shi Jin, and Kai-Kit Wong. Outage probability of dual-hop relay channels in the presence of interference, Vehicular Technology Conference. IEEE 69th, Barcelona (2009), 1–5
  • [9] M. O. Hasana, M.S. Alouini, A performance Study of Dual-Hop Transmissions with Fixed Gain Relays, IEEE transactions on wireless communications, vol 3, (2004), No 6.
  • [10] Salama Ikki, Mohamed H. Ahmed, Performance analysis of dual-hop relaying communications over generalized gamma fading channels, Global Telecommunications Conference, GLOBECOM '07. IEEE, (2007),Wasington DC,3888-3893
  • [11] Kostas P. Peppas, Christos K. Datsikas, Hector E. Nistazakis, George S. Tombras, Dual-hop relaying communications over generalized K (KG) fading channels, Journal of the Frankline Institute, vol. 347 (2010), 1643-1653
  • [12] I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, Academic, New York, 5th edn., (1994)
  • [13] Erdely A., Higher Transcendental Functions , Vol. I, Mc Graw Hill , New York, (1953-1955)
  • [14] http://functions.wolfram.com/07.45.26.0005.01
  • [15] V.S. Adamchik and O.I. Marichev, The Algorithm for Calculating Integrals of Hypergeometric Type Functions and its Realization in Reduce System from ISSAC 90, Symbolic and Algebraic Computation Addison-Wesley Publishing Company, (1990)
  • [16] F.Babich and G.Lombardi, “Statistical analysis and characterization of the indoor propagation channel”. Communications, IEEE Transactions 48 (2000)(3), 455–464
  • [17] G.Tzeremes and C.G.Christodoulou. “Use of Weibull distribution for describing outdoor multipath fading”. Antennas and Propagation Society International Symposium, IEEE1,San Antonio (2002), 232–235.
  • [18] M. Nakagami, “The m-distribution - A general formula of intensity distribution of rapid fading, in Statistical Methods in Radio Wave Propagation”, Pergamon Press, Oxford, U.K. (1960), 3-36
  • [19] U. Charash, Reception through Nakagami fading multipath channels with random delay, IEEE Trans. Commun., vol. COM-27 (1979), 657-670
  • [20] M. D. Yacoub, The α − μ distribution: A general fading distribution, IEEE Inter. Symp. on Personal, Indoor and Mobile Radio Communications, PIMRC2002 (2002), vol. 2, 629–633
  • [21] D. da Costa, M. Yacoub, and G. Fraidenraich, Second-order statistics of equal-gain and maximal-ratio combining for the α-μ (generalized gamma) fading distribution, IEEE 9th International Symposium on Spread Spectrum Techniques and Applications (2006),342–346
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPOH-0066-0004
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