The κ-μ Extreme/Gamma Distribution: A Physical Composite Fading Model

This article presents the introduction, formulation and derivation of the κ-μ Extreme/gamma distribution. This is a composite statistical model that is capable of characterizing effectively the simultaneous occurrence of shadowing and severe multipath fading. Novel explicit relationships for the probability density function and the cumulative distribution function of this model are derived. The offered results are validated through comparisons with results obtained from numerical integrations. Importantly, these expressions have a relatively tractable algebraic form and therefore they convenient to handle both analytically and numerically. As a result, they can find meaningful applications in analytic studies related to digital communications over κ-μ Extreme/gamma fading channels.