Article

# On the approximation of the generalized-Κ distribution by a gamma distribution for modeling composite fading channels

Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, ON, Canada
IEEE Transactions on Wireless Communications (Impact Factor: 2.42). 03/2010; DOI:10.1109/TWC.2010.02.081266
Source: IEEE Xplore

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• ##### Article: A statistical basis for lognormal shadowing effects in multipath fading channels
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ABSTRACT: Empirical justifications for the lognormal, Rayleigh and Suzuki (1977) probability density functions in multipath fading channels are examined by quantifying the rates of convergence of the central limit theorem (CLT) for the addition and multiplication of random variables. The accuracy of modeling the distribution of rays which experience multiple reflections/diffractions between transmitter and receiver as lognormal is quantified. In addition, it is shown that the vector sum of lognormal rays, such as in a narrow-band signal envelope, may best be approximated as being either Rayleigh, lognormal or Suzuki distributed depending on the fading channel conditions. These conditions are defined statistically
IEEE Transactions on Communications 05/1998; · 1.75 Impact Factor
• ##### Article: K distribution: an appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels
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ABSTRACT: The Rayleigh-lognormal distribution, which has proved useful for modelling fading-shadowing wireless channels, has a complicated integral form. The authors have accurately approximated it by the K distribution. This distribution is simpler and thus more appropriate for analysis and design of wireless communication systems
Electronics Letters 05/1998; · 1.04 Impact Factor
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ABSTRACT: Shadow fading causes random fluctuations of the envelope mean at the mobile. The lognormal distribution is widely accepted for this phenomenon. In this paper we argue that, based on theoretical results and measured data, gamma distribution does the job as well. Then we show that by using the gamma distribution and in contrast with the use of the lognormal distribution, we can obtain easy-to-use and closed-form composite PDFs for fading channels, which in turn extremely simplify analytic calculations
Vehicular Technology Conference, 1999 IEEE 49th; 08/1999