Second-order statistics of 2D non isotropic mobile-to-mobile wireless channels

This paper derives closed form expressions for second order statistics of mobile-to-mobile wireless channels in non isotropic environments. Specifically, we consider Rice, Rayleigh and Nakagami fading channels in four different non isotropic scattering environments with Angle of Departure (AoD) and Angle of Arrival (AoA) distributions given by (i) separable Truncated Gaussian, (ii) separable von-Mises, (iii) Truncated Gaussian bivariate and (iv) Truncated Laplacian bivariate distributions. We have shown that the second order statistics, namely, the Level Crossing Rate (LCR) and the Average Fade Duration (AFD) in different fading channels can be expressed in terms of known scattering coefficients of the above angle of departure and arrival distributions. We have illustrated the usefulness of the results by plotting LCR and AFD against the channel correlation for various scattering scenarios.