Lognormal probability density function in linear and logarithmic units

Abstract

This virtual lab shows the probability density function of the lognormal distribution in both linear (received field strenght in uV/m) and logarithmic units (received power in dBm). The lognormal distribution has been extensively used to model the shadowing amplitude distribution in wireless communication. Note that the lognormal distribution in logarithmic units corresponds to a Gaussian distribution. The objective is to analyze the dependence on the shape of the lognormal probability density function (PDF) with the shadowing standard deviation and to show the approximation of the experimental PDF to the analytical PDF in both linear and logarithmic units. The experimental distribution has been obtained using the Monte Carlo method. Obviosusly, higher the number of observation larger the fit between the analytical and experimental distributions.