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This paper investigates the secrecy outage probability (SOP), the lower boundof SOP, and the probability of non-zero secrecy capacity (PNZ) ofreconfigurable intelligent surface (RIS)-assisted systems from aninformation-theoretic perspective. In particular, we consider the impacts ofeavesdroppers' location uncertainty and the phase adjustment uncertainty,namely imperfect coherent phase shifting and discrete phase shifting on RIS.More specifically, analytical and simulation results are presented to show that(i) the SOP gain due to the increase of the RIS reflecting elements numbergradually decreases; and (ii) both phase shifting designs demonstrate the samePNZ secrecy performance, in other words, the random discrete phase shiftingoutperforms the imperfect coherent phase shifting design with reducedcomplexity.

On the Impacts of Phase Shifting Design and Eavesdropping Uncertainty on Secrecy Metrics of RIS-aided Systems