Impact of Phase-Noise and Spatial Correlation on Double-RIS-Assisted Multiuser MISO Networks

Zaid Abdullah, Anastasios Papazafeiropoulos, Steven Kisseleff, Symeon Chatzinotas, Bjorn Ottersten

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We study the performance of a phase-noise impaired double reconfigurable intelligent surface (RIS)-aided multiuser (MU) multiple-input single-output (MISO) system under spatial correlation at both RISs and base-station (BS). The downlink achievable rate is derived in closed-form under maximum ratio transmission (MRT) precoding. In addition, we obtain the optimal phase-shift design at both RISs in closed-form for the considered channel and phase-noise models. Numerical results validate the analytical expressions, and highlight the effects of different system parameters on the achievable rate. Our analysis shows that phase-noise can severely degrade the performance when users do not have direct links to both RISs, and can only be served via the double-reflection link. Also, we show that high spatial correlation at RISs is essential for high achievable rates.
Original languageEnglish
Pages (from-to)1473-1477
Number of pages5
JournalIEEE Wireless Communications Letters
Issue number7
Publication statusPublished - 17 May 2022


  • channel correlation
  • multiuser communication
  • phase-noise
  • Reconfigurable intelligent surface (RIS)


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