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Reconfigurable Intelligent Surfaces (RISs) are recently attracting a wideinterest due to their capability of tuning wireless propagation environments inorder to increase the system performance of wireless networks. In this paper, amultiuser wireless network assisted by a RIS is studied and resource allocationalgorithms are presented for several scenarios. First of all, the problem ofchannel estimation is considered, and an algorithm that permits separateestimation of the mobile user-to-RIS and RIS-to-base stations components isproposed. Then, for the special case of a single-user system, three possibleapproaches are shown in order to optimize the Signal-to-Noise Ratio withrespect to the beamformer used at the base station and to the RIS phase shifts.Next, for a multiuser system with two cells, assuming channel-matchedbeamforming, the geometric mean of the downlink Signal-to-Interference plusNoise Ratios across users is maximized with respect to the base stationstransmit powers and RIS phase shifts configurations. In this scenario, the RISis placed at the cell-edge and some users are jointly served by two basestations to increase the system performance. Numerical results show that theproposed procedures are effective and that the RIS brings substantialperformance improvements to wireless system.

RIS Configuration, Beamformer Design, and Power Control in Single-Cell and Multi-Cell Wireless Networks