Analyses and comparisons of geometrical-based channel model arisen from scatterers on a hollow-disc for outdoor and indoor wireless environments

In this study, the authors investigate geometrically based statistical channel models for outdoor and indoor propagation environments. These models idealise the scatterers laying on a hollow-disc centred around the mobile station with these scatterers concentrating in a uniformly shaped spatial density. The joint probability density functions (pdfs) of angle of arrive (AoA)/time of arrive (ToA) and the marginal pdfs of AoA and ToA are derived using a simple approach, and all formula results are in explicit closed-form expressions. By varying the hollow-disc´s thickness, these spatial models degenerate to the well-known ring or circular-disc models, revealing the comprehensive insight on the hollow-disc geometrical model. Comparisons between our theoretical calculations and customary results show that the analyses are correct and applicable to both outdoor and indoor environments.