In this paper, directional small scale fading measurements are used to extract the fading statistics of the received signal magnitude and the parameters of the underlying stochastic (Rayleigh/Rician) model. After that sum-of-cisoids (SOC) principle is used to model the deterministic samples (channel snapshots) of the stochastic model with a special focus on the number of sinusoids/scatterers and their weights. It has been established that theoretical and simulated results of the SOC fading channel simulator provide an excellent approximation of the measured received signal magnitude per cluster with a small number of sinusoids i.e. $N=4$.