Mathematical analysis of the three-ray dispersive fading channel model

The paper presents a rigorous mathematical analysis of the three-ray multipath dispersive fading channel model. The channel transfer function in this model consists of three terms representing a direct ray, a ray refracted from the atmosphere and a ray reflected from the ground. The channel transfer function, conditioned on the amplitude of the direct ray, is proven to be a complex Gaussian process whose probability distribution is independent of the statistical moments of the rays´ delays. Explicit formulas are presented for several pertinent single-variable probability density functions, covariances and joint probability density functions of the channel transfer function and of the channel power gain function.<>