Angular beta distribution for 3D vehicle-to-vehicle channel modeling

The 3D non-isotropic multipath scattering and dynamic communication environment make Vehicle-to-Vehicle (V2V) channel modeling particularly challenging. In this paper, an innovative angular Beta distribution is proposed for the elevation angle of arrival of the multipath components to account for the non-isotropic scattering. It is a parametric distribution with two shape parameters and has flexibility to model a lot of different scattering environments including the isotropic scattering as a special case. Furthermore, the closed-form expressions of the corresponding time correlation functions are derived and simulated. Finally, the modeled Doppler power spectral density (D-PSD) is compared with the available measured data. The close agreements between the modeled and measured D-PSD curves confirm the utility of the proposed angular Beta distribution.