On the Nakagami m Inverse Cumulative Distribution Function: Closed Form Expression and Its Optimization by Backtracking Search Optimization Algorithm
The inverse cumulative distribution function (CDF) is utilized in several areas such as statistical applications, Monte Carlo methods and communication systems. In wireless communications, the Nakagami m inverse CDF is widely used to obtain outage probabilities of systems. However, calculation of the Nakagami m inverse CDF is troublesome and there is no a closed form expression. Simpler and more accurate approximation for the Nakagami m inverse CDF is derived in this paper. Moreover, coefficients of the proposed approximation are optimized by using backtracking search optimization algorithm which is a new evolutionary algorithm to solve optimization problems. The obtained results show that the proposed approximation and exact values of the Nakagami m inverse CDF are in well agreement for all cases.
Wirel. Pers. Commun.