Abstract :
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
Keywords :
Gaussian distribution; Weibull distribution; exponential distribution; fading; gamma distribution; mobile radio; Nakagami-m distribution; Rayleigh distribution; Stacy distribution; Weibull distribution; alpha-mu distribution; average fade duration; exponential distribution; fading distribution; gamma distribution; joint statistics; level-crossing rate; one-sided Gaussian distribution; physical fading model; Higher order statistics; Land mobile radio; Nakagami distribution; Probability density function; Propagation delay; Rayleigh channels; Rayleigh scattering; Statistical distributions; Weibull distribution; Weibull fading channels; $alpha$-$mu$ distribution; Generalized Gamma distribution; Nakagami-m distribution; Stacy distribution; Weibull distribution;
