Moment Generating Functions of the Generalized η-μ and k-μ Distributions and Their Applications to Performance Evaluations of Communication Systems

In this letter, we prove that in contrast with earlier reported results the moment generating functions (MGFs) of the generalized eta - mu and re k - mu distributions are expressed in terms of elementary functions. Thus by employing the MGF-based approach one can easily evaluate average bit error rates (ABERs) in fading radio channels characterized statistically by the eta - mu and re k - mu distributions either in terms of elementary functions or in terms of finite-range integrals of elementary functions.