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The α-μ Distribution: A Physical Fading Model for the Stacy Distribution

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1 Author(s)
Yacoub, M.D. ; Sch. of Electr. & Comput. Eng., State Univ. of Carnpinas, Campinas

This paper introduces a fading model, which explores the nonlinearity of the propagation medium. It derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution. This distribution includes several others such as Gamma (and its discrete versions Erlang and central Chi-squared), Nakagami-m (and its discrete version Chi), exponential, Weibull, one-sided Gaussian, and Rayleigh. Based on the fading model proposed here, higher order statistics are obtained in closed-form formulas. More specifically, level-crossing rate, average fade duration, and joint statistics (joint probability density function, general joint moments, and general correlation coefficient) of correlated alpha-mu variates are obtained, and they are directly related to the physical fading parameters

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Vehicular Technology, IEEE Transactions on  (Volume:56 ,  Issue: 1 )