Synthetic method to generate α-µ distributed variants

Although the transformation method can essentially be used to generate any distribution, its application to the α-μ model involves inversion of the incomplete gamma function. Such inversion of a special function does not lead to a closed-form expression but is usually implemented using iterative methods, which heavily burden any simulation machine. By introducing a novel synthetic α-μ variant generation method, free from iterations and special functions, the proposed approach will be appropriate for building generalised real-time fading simulators.