Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves

Abstract

Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.

SER performance analysis of MPPM FSO system with three decision thresholds over exponentiated Weibull fading channels

“…Variable x equals NP M / t (P t denotes the average transmitted power) for signal time slot and zero for non-signal time slot. Here, h is the fading coefficient that features the power fluctuations, which can be modeled by the EW distribution with the below PDF [13] …”

“…Particularly, both of them have been used to study the effects of aperture averaging [7,12]. Recently, one novel fading model named exponentiated Weibull (EW) distribution was proposed by Ricardo Barrios and Federico Dios [13,14]. Their studies show that EW distribution fits more accurately with the actual PDF data than GG and LN distributions under all aperture averaging conditions and weak-to-strong turbulence regime [14].…”

Symbol error rate performance analysis of soft-decision decoded MPPM free space optical system over exponentiated Weibull fading channels

“…Among them, EW distribution is a novel one, which is proposed and experimentally verified by Barrios and Dios in Refs. [6,7]. Their study revealed that this distribution could model the PDF of irradiance in weak-to-strong turbulence regimes under all aperture-averaging conditions.…”

“…The corresponding PDF and cumulative distribution function (CDF) of h a can be expressed as [6] f h a ðhÞ ¼ αβh…”

“…The EW parameters are obtained from Ref. [6]. The analytical results of a soft-decision decoding MPPM are aquired from Eq.…”