A Tight Upper Bound on Capacity of Intelligent Reflecting Surface Transmissions Towards 6G Networks

To achieve the higher network capacity and mass connectivity in the forthcoming mobile network, revolutionary technologies have been considered. Recently, an upper bound on capacity of intelligent reflecting surface (IRS) transmissions towards the sixth generation (6G) mobile systems has been proposed. In this paper, we consider a tighter upper bound on capacity of IRS transmissions than the existing upper bound. First, using integration by parts, we derive an upper bound on capacity of IRS transmissions under Rician fading channels and a Rayleigh fading channel. Then, we show numerically that the proposed upper bound is closer to Monte Carlo simulations than the existing upper bound. Furthermore, we also demonstrate that the bounding error of the proposed upper bound is much smaller than that of the existing upper bound, and the superiority of the proposed upper bound over the existing upper bound becomes more significant as the signal-to-noise ratio (SNR) increases.