Asymptotic Max-Min SINR Analysis of Reconfigurable Intelligent Surface Assisted MISO Systems
This work focuses on the downlink of a single-cell multi-user system in which a base station (BS) equipped with <inline-formula> <tex-math notation="LaTeX">M </tex-math></inline-formula> antennas communicates with <inline-formula> <tex-math notation="L...
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| Published in | IEEE transactions on wireless communications Vol. 19; no. 12; pp. 7748 - 7764 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.12.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1536-1276 1558-2248 |
| DOI | 10.1109/TWC.2020.2986438 |
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| Abstract | This work focuses on the downlink of a single-cell multi-user system in which a base station (BS) equipped with <inline-formula> <tex-math notation="LaTeX">M </tex-math></inline-formula> antennas communicates with <inline-formula> <tex-math notation="LaTeX">K </tex-math></inline-formula> single-antenna users through a reconfigurable intelligent surface (RIS) installed in the line-of-sight (LoS) of the BS. RIS is envisioned to offer unprecedented spectral efficiency gains by utilizing <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula> passive reflecting elements that induce phase shifts on the impinging electromagnetic waves to smartly reconfigure the signal propagation environment. We study the minimum signal-to-interference-plus-noise ratio (SINR) achieved by the optimal linear precoder (OLP), that maximizes the minimum SINR subject to a given power constraint for any given RIS phase matrix, for the cases where the LoS channel matrix between the BS and the RIS is of rank-one and of full-rank. In the former scenario, the minimum SINR achieved by the RIS-assisted link is bounded by a quantity that goes to zero with <inline-formula> <tex-math notation="LaTeX">K </tex-math></inline-formula>. For the high-rank scenario, we develop accurate deterministic approximations for the parameters of the asymptotically OLP, which are then utilized to optimize the RIS phase matrix. Simulation results show that RISs can outperform half-duplex relays with a small number of passive reflecting elements while large RISs are needed to outperform full-duplex relays. |
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| AbstractList | This work focuses on the downlink of a single-cell multi-user system in which a base station (BS) equipped with [Formula Omitted] antennas communicates with [Formula Omitted] single-antenna users through a reconfigurable intelligent surface (RIS) installed in the line-of-sight (LoS) of the BS. RIS is envisioned to offer unprecedented spectral efficiency gains by utilizing [Formula Omitted] passive reflecting elements that induce phase shifts on the impinging electromagnetic waves to smartly reconfigure the signal propagation environment. We study the minimum signal-to-interference-plus-noise ratio (SINR) achieved by the optimal linear precoder (OLP), that maximizes the minimum SINR subject to a given power constraint for any given RIS phase matrix, for the cases where the LoS channel matrix between the BS and the RIS is of rank-one and of full-rank. In the former scenario, the minimum SINR achieved by the RIS-assisted link is bounded by a quantity that goes to zero with [Formula Omitted]. For the high-rank scenario, we develop accurate deterministic approximations for the parameters of the asymptotically OLP, which are then utilized to optimize the RIS phase matrix. Simulation results show that RISs can outperform half-duplex relays with a small number of passive reflecting elements while large RISs are needed to outperform full-duplex relays. This work focuses on the downlink of a single-cell multi-user system in which a base station (BS) equipped with <inline-formula> <tex-math notation="LaTeX">M </tex-math></inline-formula> antennas communicates with <inline-formula> <tex-math notation="LaTeX">K </tex-math></inline-formula> single-antenna users through a reconfigurable intelligent surface (RIS) installed in the line-of-sight (LoS) of the BS. RIS is envisioned to offer unprecedented spectral efficiency gains by utilizing <inline-formula> <tex-math notation="LaTeX">N </tex-math></inline-formula> passive reflecting elements that induce phase shifts on the impinging electromagnetic waves to smartly reconfigure the signal propagation environment. We study the minimum signal-to-interference-plus-noise ratio (SINR) achieved by the optimal linear precoder (OLP), that maximizes the minimum SINR subject to a given power constraint for any given RIS phase matrix, for the cases where the LoS channel matrix between the BS and the RIS is of rank-one and of full-rank. In the former scenario, the minimum SINR achieved by the RIS-assisted link is bounded by a quantity that goes to zero with <inline-formula> <tex-math notation="LaTeX">K </tex-math></inline-formula>. For the high-rank scenario, we develop accurate deterministic approximations for the parameters of the asymptotically OLP, which are then utilized to optimize the RIS phase matrix. Simulation results show that RISs can outperform half-duplex relays with a small number of passive reflecting elements while large RISs are needed to outperform full-duplex relays. |
| Author | Alouini, Mohamed-Slim Nadeem, Qurrat-Ul-Ain Debbah, Merouane Kammoun, Abla Chaaban, Anas |
| Author_xml | – sequence: 1 givenname: Qurrat-Ul-Ain orcidid: 0000-0001-8423-3482 surname: Nadeem fullname: Nadeem, Qurrat-Ul-Ain email: qurrat.nadeem@ubc.ca organization: School of Engineering, The University of British Columbia, Kelowna, Canada – sequence: 2 givenname: Abla orcidid: 0000-0002-0195-3159 surname: Kammoun fullname: Kammoun, Abla email: abla.kammoun@kaust.edu.sa organization: Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia – sequence: 3 givenname: Anas orcidid: 0000-0002-8713-5084 surname: Chaaban fullname: Chaaban, Anas email: anas.chaaban@ubc.ca organization: School of Engineering, The University of British Columbia, Kelowna, Canada – sequence: 4 givenname: Merouane surname: Debbah fullname: Debbah, Merouane email: merouane.debbah@centralesupelec.fr organization: CentraleSupélec, Gif-sur-Yvette, France – sequence: 5 givenname: Mohamed-Slim orcidid: 0000-0003-4827-1793 surname: Alouini fullname: Alouini, Mohamed-Slim email: slim.alouini@kaust.edu.sa organization: Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia |
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| CODEN | ITWCAX |
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| References | ref35 (ref42) 2010 ref34 ref12 ref15 ref36 ref14 ref31 ref30 ref33 ref11 ref32 ref10 ref2 ref1 ref39 ref17 ref38 ref16 ref19 arun (ref44) 2019 ref18 liang (ref37) 2019 ref46 ref24 ref45 ref23 hou (ref8) 2019 ref26 ref25 ref20 ref22 ref21 ref28 taha (ref13) 2019 ref29 ref7 ref9 ref4 samorodnitsky (ref27) 1994 ref3 ref6 ref5 ntontin (ref43) 2019 ref40 björnson (ref41) 2020 |
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| SubjectTerms | Antenna arrays Antennas asymptotic analysis Asymptotic properties Downlink Electromagnetic radiation Interference Line of sight MIMO communication MISO (control systems) MISO communication multiple-input single-output (MISO) system Noise propagation Optimization projected gradient ascent random matrix theory (RMT) Reconfigurable intelligent surface (RIS) Reconfigurable intelligent surfaces Signal to noise ratio Wave propagation Wireless communication |
| Title | Asymptotic Max-Min SINR Analysis of Reconfigurable Intelligent Surface Assisted MISO Systems |
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