Exponentiated weibull distribution family under aperture averaging for gaussian beam waves

摘要

Nowadays, the search for a distribution capable of modeling the\udprobability density function (PDF) of irradiance data under all conditions of\udatmospheric turbulence in the presence of aperture averaging still continues.\udHere, a family of PDFs alternative to the widely accepted Log-Normal and\udGamma-Gamma distributions is proposed to model the PDF of the received\udoptical power in free-space optical communications, namely, the Weibull\udand the exponentiated Weibull (EW) distribution. Particularly, it is shown\udhow the proposed EW distribution offers an excellent fit to simulation and\udexperimental data under all aperture averaging conditions, under weak and\udmoderate turbulence conditions, as well as for point-like apertures. Another\udvery attractive property of these distributions is the simple closed form\udexpression of their respective PDF and cumulative distribution function.