Statistical Parameters of the First Order for Rayleigh Fading with Egc Diversity Kombiner
Statistical parameters of the first order for Rayleigh Fading with EGC Diversity kombiner 1Borivoje Milosevic is with the Technical College University of Nis, A. Medvedeva 20, Nis 18000, Serbia, E-mail: borivojemilosevic@yahoo.com. 2Mihajlo Stefanovic is with the Faculty of Electronic Engineering, University of Niš, A. Medvedeva 14, Nis 18000, Serbia, 3Slobodan Obradovic is with the SANU, Beograd, Serbia 4Srdjan Jovkovic is with the Technical College University of Nis, A. Medvedeva 20, Nis 18000, Serbia
Borivoje Milosevic1 and Mihajlo Stefanovic 2
Slobodan Obradovic3 and Srdjan Jovković4
Abstract – This paper discusses the application of MATLAB tools for the realization of Rayleigh Fading using EGC diversity kombiner. In this paper the dual EGC ( Equal Gain Combiner ) Diversity system is consider. The ucorrelated Rayleigh fading is presented. The cumulative density function - CDF of the dual EGC output signals and the joint of output signal and its the first time derivative is determined. The probability density function -PDF of the dual EGC output signals and the joint of output signal and its the first time derivative is determined.
Keywords – EGC, PDF, CDF, Fading, Rayleigh, Combiner.
I. Introduction
PROBLEMS THAT OCCUR DURING THE IMPLEMENTATION OF APPLICATIONS FOR STATISTICAL ANALYSIS OF SIGNAL IN THE PRESENCE OF FADING MAINLY RELATED TO DIFFICULTIES IN EDITING FORMULAS AND EXPRESSIONS, THEIR COMPUTATION (MATHEMATICA), DRAWING GRAPHICS (ORIGIN), ETC. THIS PAPER PROVIDES A SIMPLER APPROACH TO SOLVING THIS PROBLEM, OF COURSE, USING ONE EXCELLENT TOOLS: MATLAB. Some of the most well-known diversity techniques are MRC ( Maximum Ratio Combining ), EGC (Eqal Gain Combining ) and SC ( Selection Combining ) [1]. Around them, EGC presents significant practical interest, because it provides performance comparable to MRC but with simpler implementation complexity. In EGC, the desired signals of the output of the two
Borivoje Milosevic1 and Mihajlo Stefanovic 2
Slobodan Obradovic3 and Srdjan Jovković4
Abstract – This paper discusses the application of MATLAB tools for the realization of Rayleigh Fading using EGC diversity kombiner. In this paper the dual EGC ( Equal Gain Combiner ) Diversity system is consider. The ucorrelated Rayleigh fading is presented. The cumulative density function - CDF of the dual EGC output signals and the joint of output signal and its the first time derivative is determined. The probability density function -PDF of the dual EGC output signals and the joint of output signal and its the first time derivative is determined.
Keywords – EGC, PDF, CDF, Fading, Rayleigh, Combiner.
I. Introduction
PROBLEMS THAT OCCUR DURING THE IMPLEMENTATION OF APPLICATIONS FOR STATISTICAL ANALYSIS OF SIGNAL IN THE PRESENCE OF FADING MAINLY RELATED TO DIFFICULTIES IN EDITING FORMULAS AND EXPRESSIONS, THEIR COMPUTATION (MATHEMATICA), DRAWING GRAPHICS (ORIGIN), ETC. THIS PAPER PROVIDES A SIMPLER APPROACH TO SOLVING THIS PROBLEM, OF COURSE, USING ONE EXCELLENT TOOLS: MATLAB. Some of the most well-known diversity techniques are MRC ( Maximum Ratio Combining ), EGC (Eqal Gain Combining ) and SC ( Selection Combining ) [1]. Around them, EGC presents significant practical interest, because it provides performance comparable to MRC but with simpler implementation complexity. In EGC, the desired signals of the output of the two
References: 3] G. M. Vitetta, U. Mengali, and D. P. Taylor, “An error probability formula for noncoherent orthogonal binary FSK with dual diversity on correlated Rician channels’’, IEEE Trans. Commun., Lett.Feb. 1999. 4] L. Fang, G. Biand A.C.Kot,’’New method of performance analysis for diversity reception with correlated Rayleigh fading signals’’, IEEE Trans.Veh.Technol.vol 49, Sept. 2000. 7] Marvin K.Simon, Mohamed-Slim Alouni, Digital Communication over Fading Channels, Second Edition, Wiley Interscience, New Jersey , 2005, str. 586. 8] A.Goldsmith: “Wireless Communications“, CAMBRIDGE UNIVERSITY PRESS, 2005 9] E 10] N. Morinaga, R. Kohno, S.Sampei, “Wireless communications technologies: new multimedia systems“, Kluwer Academic publishers, 2002 11] Mihajlo C