TY - JOUR
TI - The Fischer-Snedecor F-Distribution Model for Turbulence-Induced Fading in Free-Space Optical Systems
AU - Peppas, K.P.
AU - Alexandropoulos, G.C.
AU - Xenos, E.D.
AU - Maras, A.
JO - Journal of Lightwave Technology
PY - 2020
VL - 38
TODO - 6
SP - 1286-1295
PB - Institute of Electrical and Electronics Engineers, Inc. (IEEE)
SN - 0733-8724, 1558-2213
TODO - 10.1109/JLT.2019.2957327
TODO - Atmospheric thermodynamics;  Atmospheric turbulence;  Feedback control;  Intelligent systems;  MIMO systems;  Monte Carlo methods;  Optical communication;  Stochastic models;  Stochastic systems;  Telecommunication repeaters, Cumulative distribution function;  F distribution;  Free space optical communication systems;  Free space optical systems;  Inverse gamma distribution;  Moment generating function;  Performance analysis;  Single input multiple outputs, Distribution functions
TODO - In this article we propose the use of the so-called Fisher-Snedecor F-distribution to model atmospheric turbulence-induced fading in free space optical communication systems. The proposed model is a two-parameter distribution, defined as the ratio of two independent gamma random variables. In this context, the proposed model is based on a doubly stochastic theory of turbulence-induced fading, assuming that small-scale irradiance variations of the propagating wave, modeled by a gamma distribution, are a subject to large-scale irradiance fluctuations, modeled by an inverse gamma distribution. It is shown that the F-distribution yields at least as good, or even a better fit to experimental and computer simulation data as compared to the well known gamma-gamma distribution. Also, important statistical measures such as cumulative distribution function (CDF) and moment generating function (MGF) are mathematically simpler than those of the gamma-gamma distribution. Motivated by these facts, the performance of single-input - multiple output (SIMO) and multiple-input - multiple output (MIMO) systems operating in the presence of F turbulence is assessed. The proposed analysis is substantiated by numerically evaluated results and Monte Carlo simulations. © 2019 IEEE.
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