Comparison of empirical and geometric modeling angular scattering of radio waves under multipath propagation conditionsv

In practice, a power azimuth spectrum (PAS) is used to evaluate an angular dispersion of received signals. Based on PAS, the rms angle spread (AS) is determined. AS is a scalar measure of the angular dispersion. In the case of modeling the angular scattering of radio waves under multipath propagation conditions, various types of dedicated geometric or empirical models of the probability density function of angle of arrival (PDF of AOA) are used. The first group of these models is so-called theoretical models that allow you to determine the geometric location and the density of scattering with respect to the receiver. In the second group, standard distributions (PDF), such as the Gaussian, Laplacian or von Mises distribution, are used for statistical description of scattering. In this paper, a comparison of selected empirical and geometric PDF models in the azimuth plane is presented. In comparative analysis, selected empirical scenarios are used. Based on them, the approximation of PDF models is made. Then, the least square error and AS are compared. The obtained results show that the Laplacian provides the best approximation of the empirical PDF of AOA.