Statistical characterization of kappa-μ shadowed fading

This paper investigates a natural generalization of the κ-μ fading channel in which the line-of-sight (LOS) component is subject to shadowing. This fading distribution has a clear physical interpretation, good analytical properties and unifies the one-side Gaussian, Rayleigh, Nakagami-m, Ricean, κ-μ and Ricean shadowed fading distributions. The three basic statistical characterizations, i.e. probability density function (PDF), cumulative distribution function (CDF) and moment generating function (MGF), of the κ-μ shadowed distribution are obtained in closed-form. Then, it is also shown that the sum and maximum distributions of independent but arbitrarily distributed κ-μ shadowed variates can be expressed in closedform. This set of new statistical results is finally applied to the performance analysis of several wireless communication systems.