A New Nakagami-m Inverse CDF Approximation Based on the Use of Genetic Algorithm

The inverse cumulative distribution function (CDF) appears in many important problems such as outage probability calculations in wireless communications. The Nakagami-m inverse CDF is difficult to compute numerically and is known to have no closed form. In this paper, we present a new and useful approximation to the Nakagami-m inverse CDF. The genetic algorithm is applied to optimize the coefficients of the proposed approximation. For typical cases in Nakagami-m wireless communication channels, it is shown through comprehensive computer simulations that the proposed method has high accuracy in most of the region of the exact CDF values.