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TitleA statistical basis for lognormal shadowing effects in multipath fading channels
Publication TypeJournal Article
Year of Publication1998
AuthorsCoulson, A.J., Williamson A.G., and Vaughan R.G.
JournalIEEE Transactions on Communications
Pagination494 - 502
Date Published1998
ISSN00906778 (ISSN)
KeywordsCentral limit theorem, Communication channels (information theory), Convergence of numerical methods, Fading (radio), Lognormal distribution, Multipath fading channels, Probability density function, Rayleigh distribution, Signal receivers, Statistical methods, Transmitters
Abstract-Empirical justifications for the lognormal, Rayleigh and Suzuki 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. ©1998 IEEE.

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