Communications and Signal Processing Lab (ComSP)

Title	Análisis Estadístico Avanzado de Sistemas de Comunicaciones Ópticas Atmosféricas
State	Finished
Author	Francisco J. López González
Director/s	Antonio Jurado Navas ,  José María Garrido Balsells
University	Universidad de Málaga
Center	Escuela Técnica Superior de Ingeniería de Telecomunicación
Department	Ingeniería de Comunicaciones
Reading date	18/12/2023
Web Page	https://riuma.uma.es/xmlui/handle/10630/30851

Abstract

The optical signal propagating through an atmospheric optical channel is affected by

fluctuations in both intensity and phase due to variations in the refractive index. The

fluctuations in the received optical intensity is called scintillation. At this point, the main

research effort is specially based on avoiding the harmful effects of the scintillation which can

produce severe link performance degradation. In this sense, different mathematical models

have been proposed to describe the model of the probability density function (PDF) of the

received irradiance. A unifying statistical distribution, the Málaga or M model was proposed

some years ago including the previous distributions as particular cases of the M model. The

performance of the M distribution are all obtained assuming that the smallscale parameter is a

natural number, due to the involvement of using an infinite summation in the generalized case.

This thesis is presents a reformulation of the Malaga distribution. The behavior of the

atmospheric optical channel is formed here as a superposition of the finite number of

generalized-K distributed sub-channels, controlled by a discrete negative-binomial distribution

dependent on the turbulence parameters. Also including a novel method to truncate the

infinite sum into a finite one, letting the analysis of the AOC channel with real values of the

small-scale parameter, thus providing a wider adaptability. In any case, new completely

accurate expressions for the ergodic capacity, the outage probability and the outage rate of the

system are obtained here as system parameters, and conditional BER, and average BER as

channels parameters. Furthermore, numerical results show a perfect alignment with our

derived analytical expressions.