Asymptotic analysis of aperture averaged exponentiated Weibull distribution with diversity technique for FSO communication

Closed-form statistics are highly desirable in wireless communication while analyzing system performance. Nevertheless, at a few instances, the mathematical intricacy introduced by the probability density function (PDF) limits the analysis of the system. In this context, asymptotic analysis has been entertained in wireless communication to obtain the approximate closed-form statistics of the system performance metrics under high-power regime. With this motivation, the asymptotic framework for exponentiated Weibull (EW) distribution has been presented. First, the origin PDF for EW distribution is proposed. Later, the earlier derived result is utilized in obtaining asymptotic results for the average bit error rate (BER). In addition, we also provide a mathematical framework with maximal ratio combining and selection combining diversity over the average BER. In addition, aperture averaging technique is also implemented over the aforesaid asymptotic results for further improvements in system performance. The results of the asymptotic analysis have been validated using the Monte–Carlo simulation.