On the Capacity of Opportunistic Time-Sharing Downlink with a Reconfigurable Intelligent Surface
arXiv:2305.12952 · doi:10.1109/LCOMM.2023.3323094
Abstract
We provide accurate approximations of the sum-rate capacity of an opportunistic time-sharing downlink, when a reconfigurable intelligent surface (RIS) assists the transmission from a single-antenna base station (BS) to single-antenna user equipments (UEs). We consider the fading effects of both the direct (i.e., BS-to-UEs) and reflection (i.e, BS-to-RIS-to-UEs) links, by developing two approximations: the former one is based on hardening of the reflection channel for large values of the number of meta-atoms; the latter one relies on the distribution of the sum of Nakagami variates and does not require channel hardening. Our derivations show the dependence of the sum-rate capacity as a function of both the number of users and the number of meta-atoms, as well as to establish a comparison with a downlink without an RIS. Numerical results corroborate the accuracy and validity of the mathematical analysis.
Accepted for publication in IEEE Communications Letters. Cite as: D. Darsena and F. Verde, "On the Capacity of Opportunistic Time-Sharing Downlink with a Reconfigurable Intelligent Surface," in IEEE Communications Letters, 2023, doi: 10.1109/LCOMM.2023.3323094