Simple Expression of Ergodic Capacity for Rician Fading Channel

The ergodic capacity of various fading channels such as Rayleigh and Rician fading channels has been studied for a long time [1], [2]. Some closed-form expressions of the fading channel capacity have been obtained in terms of a higher transcend function of Meijer’s G function [3] or triple summations of the Poisson distribution [2]. Unfortunately, those representations are somewhat complex and their numerical calculation is not efficient. In this letter, a new expression for a Rician fading channel capacity is formulated that is more efficient and stable than the previous ones in numerical calculation. Then, based on our new expression, a simple approximation is derived and its accuracy is verified.