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We consider a fading channel in which a multi-antenna transmitter communicates with a multi-antenna receiver through a reconfigurable intelligent surface (RIS) that is made of $N$ reconfigurable passive scatterers impaired by phase noise.
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H. Zhang et al., “Reconfigurable intelligent surfaces assisted communications with limited phase shifts: How many phase shifts are enough?”, IEEE Trans. Veh. Technol. , vol. 69, no. 4, pp. 4498-4502, Apr. 2020
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