On the capacity of log-normal fading channels

ABSTRACT This paper investigates the capacity of log-normal fading channels with receiver channel state information. We provide a closed-form expression for the ergodic capacity of the log-normal fading channel. Since the developed expression involves an infinite series, we show that the error that results from the truncation of this series is insignificant. Relying on the fact that the sum of log-normal Random Variables (RV) is well approximated by another log-normal RV, we further apply the obtained results to find the capacity of correlated log-normal fading channels with Maximum Ratio Combining and Equal Gain Combining. The analytical expressions obtained match perfectly the capacity given by simulations