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Publication : Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves.

First Author  Barrios R Year  2012
Journal  Opt Express Volume  20
Issue  12 Pages  13055-64
PubMed ID  22714332 Mgi Jnum  J:232622
Mgi Id  MGI:5779635 Doi  10.1364/OE.20.013055
Citation  Barrios R, et al. (2012) Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves. Opt Express 20(12):13055-64
abstractText  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.
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