# Material Detail

## Rayleigh probability density function in linear and logarithmic units

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 Rayleigh distribution has been extensively used to model the fast fading amplitude distribution in wireless communication due to its simplicity and accuracy in non line-of-sight (NLOS) situations. The objective is to show the approximation of the experimental to the analytical probability density function (PDF) in both linear (uV/m) and logarithmic (dBm) units. The experimental PDF has been calculated using the Monte Carlo simulation procedure. The analytical or theoretical PDF is obtained using the Rayleigh PDF formula. Note that the shape of the Rayleigh distribution in dBm is constant and independent on the average power in dBm. Obviosusly, higher the number of observation larger the fit between the analytical and experimental distributions.

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