A generalized analysis of three-dimensional anisotropic scattering in mobile wireless channels-part II: second-order statistical characterization

In a recent paper [1], we presented a generalized theoretical analysis for the diffuse multipath power in mobile wireless channels accounting for three-dimensional (3-D) multi-modal (i.e., clustered) scattering. In this paper, a parameterized case-study stemming from [1] is analyzed with multi-modal arrival of diffuse multipath power within four angular sectors. Those sectors are parametrically defined with respect to the mobile receiver's direction of motion. One sector per each quadrant is considered and the parametric probability density function (PDF) of the angle of arrival (AOA) is derived. From this PDF, the second order statistics of mobile channels with multi-modal scattering are derived, namely, the temporal autocorrelation function (ACF), the power spectral density (PSD), or Doppler spectrum, the level crossing rate (LCR) and average fade duration (AFD). Extension to generalized multi-modal arrival within any arbitrary number of angular sectors can be treated similarly.