  This paper presents the analytic framework for evaluating the ergodic
capacity (EC) of the reconfigurable intelligent surface (RIS) assisted systems.
Moreover, high-signal-to-noise-ratio and high-number of reflection units (RUs)
approximations for the EC are provided. Finally, the special case in which the
RIS is equipped with a single RU is investigated. Our analysis is verified
through respective Monte Carlo simulations, which highlight the accuracy of the
proposed framework.
