Kırılma indisi yapı parametresinin istatistiksel analizi

It is possible to model turbulence, which is one of the biggest problems encountered when designing an optical wireless communication system, with only the refractive index structure parameter and good estimation of the rest of the parameters. Which is why knowing the probability distribution function of the refractive index structure parameter is very important. Although different models have been proposed in this regard, none have been proved theoretically. The main topic of this study is to examine whether the probability distribution of the refractive index structure parameter is bounded or semi-infinite. At the start, Pearson and Johnson distribution systems and Extreme Value Theory were applied and it was concluded that the refractive index structure parameter could be better modelled with bounded distributions. After that, beta distribution and lognormal distribution, which belong to bounded and semi-infinite distributions families respectively and the more known and used distributions as a model for refractive index structure parameter, are compared with each other and it was found out that beta distribution gives better results. Finally, it had been shown that the method of moments, which is one of the methods for estimating the beta distribution parameters, is not enough and after the estimations are made by the method of moments, it is necessary to improve them with the least squares method. Keywords: Wireless optical communication, Optical turbulence, Refractive index structure parameter, Pearson distribution system, Johnson distribution system, Extreme Value Theory, Mean excess function, QQ plot, Method of moments, Least squares method, Chi-Square test, K-S test.