New Results on Moment Generating Functions of Generalized Wireless Fading Distributions and Applications

In this letter, new exact and approximated moment generating functions (MGF) for generalized fading distributions are derived and presented. Specifically, we consider the η-λ-μ, αμ, α-η-μ, α-μ, α-μ, and α-η-μ generalized distributions. In contrast to earlier results in the literature, both the new exact and approximated MGFs avoids complicated and computationally expensive special functions such as the Meijer-G or the Fox Hfunctions. Hence, the new MGFs allow easier and more efficient analytical manipulation and code development. As an illustrative application, the average bit error rates (ABER) for each of the fading models are evaluated using the new MGFs, which are also compared with the numerically evaluated results. The presented analytical and numerical results agree with reported results from the literature for the special cases of the considered models. Keywords—Moment Generating Function; α-λ-η-μ; α-κ-μ; αμ; Generalized Distributions; Average Bit Error Rates.