Statistics of signal envelope in composite multipath fading/shadowing microcellular environment

Wireless communication channels can be simultaneously impaired by both short-term (multipath) fading and long-term fading (shadowing). In this paper, multipath fading is modeled by Rician distribution which is used to represent line-of-sight (LoS) propagation environment. Such environment seems to be the most realistic in microcellular mobile radio communication systems. Shadowing effect is modeled using both lognormal and gamma distributions. It is shown that the approach which assumes the use of gamma distribution to account shadowing provides an analytical solution for the probability density function (PDF) and cumulative distribution function (CDF) of signal envelope. The synergy between the Rician-lognormal and Rician-gamma composite model is explored and established by calculating the outage probability and average bit error probability (ABEP) of a single receiver.