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    Beamforming Through Reconfigurable Intelligent Surfaces in Single-User MIMO Systems: SNR Distribution and Scaling Laws in the Presence of Channel Fading and Phase Noise

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    Type
    Article
    Authors
    Qian, X.
    Renzo, M. Di
    Liu, J.
    Kammoun, Abla cc
    Alouini, Mohamed-Slim cc
    KAUST Department
    Communication Theory Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2020-09-01
    Online Publication Date
    2020-09-01
    Print Publication Date
    2021-01
    Submitted Date
    2020-05-15
    Permanent link to this record
    http://hdl.handle.net/10754/665007
    
    Metadata
    Show full item record
    Abstract
    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. The beamforming vector at the transmitter, the combining vector at the receiver, and the phase shifts of the N scatterers are optimized in order to maximize the signal-to-noise-ratio (SNR) at the receiver. By assuming Rayleigh fading (or line-of-sight propagation) on the transmitter-RIS link and Rayleigh fading on the RIS-receiver link, we prove that the SNR is a random variable that is equivalent in distribution to the product of three (or two) independent random variables whose distributions are approximated by two (or one) gamma random variables and the sum of two scaled non-central chi-square random variables. The proposed analytical framework allows us to quantify the robustness of RIS-aided transmission to fading channels. For example, we prove that the amount of fading experienced on the transmitter-RIS-receiver channel linearly decreases with N1. This proves that RISs of large size can be effectively employed to make fading less severe and wireless channels more reliable.
    Citation
    Qian, X., Di Renzo, M., Liu, J., Kammoun, A., & Alouini, M.-S. (2020). Beamforming Through Reconfigurable Intelligent Surfaces in Single-User MIMO Systems: SNR Distribution and Scaling Laws in the Presence of Channel Fading and Phase Noise. IEEE Wireless Communications Letters, 1–1. doi:10.1109/lwc.2020.3021058
    Sponsors
    This work was supported by the European Commission through the H2020 projects 5GstepFWD (grant 722429) and ARIADNE (grant 871464). The associate editor coordinating the review of this article and approving it for publication was H. Ngo
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Wireless Communications Letters
    DOI
    10.1109/LWC.2020.3021058
    Additional Links
    https://ieeexplore.ieee.org/document/9183991/
    https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9183991
    ae974a485f413a2113503eed53cd6c53
    10.1109/LWC.2020.3021058
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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