A Generalized Analysis of Three-Dimensional Anisotropic Scattering in Mobile Wireless Channels-Part I: Theory

In this paper, we present a generalized theoretical analysis for multipath scattering in mobile wireless channels where scattered power arrives into three dimensions (3-D). Moreover, multipath power can arrive into any arbitrary number of discrete angular sectors under an anisotropic propagation regime. A new expression for the azimuth and elevation angle of arrival (AOA) joint distribution of the arriving multipath power is presented. In the general case of multi-modal arrival, we show that the azimuth and elevation AOA are statistically dependent. The latter issue is further investigated by providing certain conditions for statistically independent azimuth and elevation AOA. Due to space limitations, in a follow up paper, a parameterized case study will be analyzed with multi-modal arrival into four angular sectors.