English

On the Capacity of Opportunistic Time-Sharing Downlink with a Reconfigurable Intelligent Surface

Information Theory 2023-10-13 v3 Signal Processing math.IT

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.

Keywords

Cite

@article{arxiv.2305.12952,
  title  = {On the Capacity of Opportunistic Time-Sharing Downlink with a Reconfigurable Intelligent Surface},
  author = {Donatella Darsena and Francesco Verde},
  journal= {arXiv preprint arXiv:2305.12952},
  year   = {2023}
}

Comments

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