Novel formulation of the M model through the Generalized-K distribution for atmospheric optical channels

José María Garrido-Balsells, Antonio-Jurado-Navas, José Francisco Paris, Miguel Castillo-Vazquez, Antonio Puerta-Notario
January 2015
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Abstract

In this paper, a novel and deeper physical interpretation on the recently published Malaga or M statistical distribution is provided. This distribution, which is having a wide acceptance by the scientific community, models the optical irradiance scintillation induced by the atmospheric turbulence. Here, the analytical expressions previously published are modified in order to express them by a mixture of the known Generalized-K and discrete Binomial and Negative Binomial distributions. In particular, the probability density function (pdf) of the M model is now obtained as a linear combination of these Generalized-K pdf, in which the coefficients depend directly on the parameters of the M distribution. In this way, the Malaga model can be physically interpreted as a superposition of different optical sub-channels each of them described by the corresponding Generalized-K fading model and weighted by the M dependent coefficients. The expressions here proposed are simpler than the equations of the original M model and are validated by means of numerical simulations by generating M-distributed random sequences and their associated histogram. This novel interpretation of the Malaga statistical distribution provides a valuable tool for analyzing the performance of atmospheric optical channels for every turbulence condition. © 2015 Optical Society of America.

Type
Journal article
Publication
Optics Express
Atmospheric Thermodynamics Atmospheric Turbulence Probability Density Function Analytical Expressions Irradiance Scintillation Negative Binomial Distribution Physical Interpretation Probability Density Function (Pdf) Scientific Community Statistical Distribution Turbulence Conditions Probability Distributions
José María Garrido-Balsells
José María Garrido-Balsells
Professor of Telecommunications Engineering

Professor at the University of Málaga working on wireless optical communications, free-space optical links, underwater optical wireless communications, optical channel modelling and experimental communication systems.

Antonio Puerta-Notario
Antonio Puerta-Notario
Emeritus Professor / Senior Researcher

Emeritus Professor at the University of Málaga with a long-standing research activity in signal theory, optical wireless communications, visible light communications, free-space optical links and communication system modelling.