Novel MGF expressions of F composite fading channels with applications

In this paper, we provide novel expressions of moment generating function (MGF) for Fisher–Snedocor F composite fading channels. Precisely, we derive the exact MGF and its approximated expression to incorporate the heavy as well as the light shadowed conditions. With the help of these expressions, it is shown that the MGF of the F distribution turn to be valid for the entire range of the composite fading parameters yielding finite results for each value of the average signal to noise ratio. The significance of these expressions is further explained by simplifying the key integrals which are used in the error computation of widely used efficient digital modulation schemes. The analytical framework is also validated with the help of Monte-Carlo simulations.