[en] Intelligent reflecting surface (IRS), consisting of low-cost passive elements, is a promising technology for improvingthe spectral and energy efficiency of the fifth-generation (5G)and beyond networks. It is also noteworthy that an IRS canshape the reflected signal propagation. Most works in IRS-assisted systems have ignored the impact of the inevitable residualhardware impairments (HWIs) at both the transceiver hardwareand the IRS while any relevant works have addressed only simplescenarios, e.g., with single-antenna network nodes and/or withouttaking the randomness of phase noise at the IRS into account.In this work, we aim at filling up this gap by considering ageneral IRS-assisted multi-user (MU) multiple-input single-output(MISO) system with imperfect channel state information (CSI)and correlated Rayleigh fading. In parallel, we present a generalcomputationally efficient methodology for IRS reflect beamforming(RB) optimization. Specifically, we introduce an advantageouschannel estimation (CE) method for such systems accounting forthe HWIs. Moreover, we derive the uplink achievable spectralefficiency (SE) with maximal-ratio combining (MRC) receiver,displaying three significant advantages being: 1) its closed-formexpression, 2) its dependence only on large-scale statistics, and3) its low training overhead. Notably, by exploiting the first twobenefits, we achieve to perform optimization with respect to thethat can take place only at every several coherence intervals,and thus, reduces significantly the computational cost comparedto other methods which require frequent phase optimization.Among the insightful observations, we highlight that uncorrelatedRayleigh fading does not allow optimization of the SE, whichmakes the application of an IRS ineffective. Also, in the case thatthe phase drifts, describing the distortion of the phases in theRBM, are uniformly distributed, the presence of an IRS providesno advantage. The analytical results outperform previous worksand are verified by Monte-Carlo (MC) simulations.
Disciplines :
Computer science
Author, co-author :
Papazafeiropoulos, Anastasios
Pan, Cunhua
Kourtessis, Pandelis
Chatzinotas, Symeon ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom
Senior, John M.
External co-authors :
yes
Language :
English
Title :
Intelligent Reflecting Surface-assisted MU-MISOSystems with Imperfect Hardware: ChannelEstimation and Beamforming Design
Publication date :
March 2022
Journal title :
IEEE Transactions on Wireless Communications
ISSN :
1558-2248
Publisher :
Institute of Electrical and Electronics Engineers, New York, United States - New York
F. Boccardi, R. W. Heath, Jr., A. Lozano, T. L. Marzetta, and P. Popovski, "Five disruptive technology directions for 5G," IEEE Commun. Mag., vol. 52, no. 2, pp. 74-80, Feb. 2014.
E. Basar, M. D. Renzo, J. De Rosny, M. Debbah, M. Alouini, and R. Zhang, "Wireless communications through reconfigurable intelligent surfaces," IEEE Access, vol. 7, pp. 116753-116773, 2019.
Q. Wu and R. Zhang, "Intelligent reflecting surface enhanced wireless network via joint active and passive beamforming," IEEE Trans. Wireless Commun., vol. 18, no. 11, pp. 5394-5409, Nov. 2019.
C. Pan et al., "Multicell MIMO communications relying on intelligent reflecting surfaces," IEEE Trans. Wireless Commun., vol. 19, no. 8, pp. 5218-5233, Aug. 2020.
E. Björnson, O. Ozdogan, and E. G. Larsson, "Intelligent reflecting surface versus decode-and-forward: How large surfaces are needed to beat relaying?" IEEE Wireless Commun. Lett., vol. 9, no. 2, pp. 244-248, Feb. 2020.
Q.-U.-A. Nadeem, A. Kammoun, A. Chaaban, M. Debbah, and M.-S. Alouini, "Asymptotic max-min SINR analysis of reconfigurable intelligent surface assisted MISO systems," IEEE Trans. Wireless Commun., vol. 19, no. 12, pp. 7748-7764, Dec. 2020.
A. M. Elbir, A. Papazafeiropoulos, P. Kourtessis, and S. Chatzinotas, "Deep channel learning for large intelligent surfaces aided mm-wave massive MIMO systems," IEEE Wireless Commun. Lett., vol. 9, no. 9, pp. 1447-1451, Sep. 2020.
H. Guo, Y.-C. Liang, J. Chen, and E. G. Larsson, "Weighted sum-rate maximization for reconfigurable intelligent surface aided wireless networks," IEEE Trans. Wireless Commun., vol. 19, no. 5, pp. 3064-3076, May 2020.
J. Chen, Y.-C. Liang, Y. Pei, and H. Guo, "Intelligent reflecting surface: A programmable wireless environment for physical layer security," IEEE Access, vol. 7, pp. 82599-82612, 2019.
Y. Jia, C. Ye, and Y. Cui, "Analysis and optimization of an intelligent reflecting surface-assisted system with interference," IEEE Trans. Wireless Commun., vol. 19, no. 12, pp. 8068-8082, Dec. 2020.
K. Zhi, C. Pan, H. Ren, and K. Wang, "Power scaling law analysis and phase shift optimization of RIS-aided massive MIMO systems with statistical CSI," 2020, arXiv:2010.13525. [Online]. Available: http://arxiv.org/abs/2010.13525
A. Papazafeiropoulos, C. Pan, A. Elbir, V. Nguyen, P. Kourtessis, and S. Chatzinotas, "Asymptotic analysis of max-min weighted SINR for IRS-assisted MISO systems with hardware impairments," IEEE Wireless Commun. Lett., early access, Jul. 8, 2021, doi: 10.1109/LWC.2021.3095678.
T. Van Chien, A. K. Papazafeiropoulos, L. T. Tu, R. Chopra, S. Chatzinotas, and B. Ottersten, "Outage probability analysis of IRS-assisted systems under spatially correlated channels," IEEE Wireless Commun. Lett., vol. 10, no. 8, pp. 1815-1819, Aug. 2021.
A. Papazafeiropoulos, C. Pan, A. Elbir, P. Kourtessis, S. Chatzinotas, and J. M. Senior, "Coverage probability of distributed IRS systems under spatially correlated channels," IEEE Wireless Commun. Lett., vol. 10, no. 8, pp. 1722-1726, Aug. 2021.
B. Zheng and R. Zhang, "Intelligent reflecting surface-enhanced OFDM: Channel estimation and reflection optimization," IEEE Wireless Commun. Lett., vol. 9, no. 4, pp. 518-522, Apr. 2020.
D. Mishra and H. Johansson, "Channel estimation and low-complexity beamforming design for passive intelligent surface assisted MISO wireless energy transfer," in Proc. IEEE Int. Conf. Acoust., Speech Signal Process. (ICASSP), May 2019, pp. 4659-4663.
Z.-Q. He and X. Yuan, "Cascaded channel estimation for large intelligent metasurface assisted massive MIMO," IEEE Wireless Commun. Lett., vol. 9, no. 2, pp. 210-214, Feb. 2020.
Q.-U.-A. Nadeem, H. Alwazani, A. Kammoun, A. Chaaban, M. Debbah, and M.-S. Alouini, "Intelligent reflecting surface-assisted multi-user MISO communication: Channel estimation and beamforming design," IEEE Open J. Commun. Soc., vol. 1, pp. 661-680, 2020.
J. Qi and S. Aïssa, "Analysis and compensation of I/Q imbalance in MIMO transmit-receive diversity systems," IEEE Trans. Commun., vol. 58, no. 5, pp. 1546-1556, May 2010.
A. K. Papazafeiropoulos, "Impact of general channel aging conditions on the downlink performance of massive MIMO," IEEE Trans. Veh. Technol., vol. 66, no. 2, pp. 1428-1442, Feb. 2017.
A. Papazafeiropoulos, B. Clerckx, and T. Ratnarajah, "Rate-splitting to mitigate residual transceiver hardware impairments in massive MIMO systems," IEEE Trans. Veh. Technol., vol. 66, no. 9, pp. 8196-8211, Sep. 2017.
T. Schenk, RF Imperfections in High-Rate Wireless Systems: Impact and Digital Compensation. New York, NY, USA: Springer-Verlag, 2008.
E. Björnson, J. Hoydis, and L. Sanguinetti, "Massive MIMO networks: Spectral, energy, and hardware efficiency," Found. Trends Signals Process., vol. 11, nos. 3-4, pp. 154-655, 2017.
D. Li, "Ergodic capacity of intelligent reflecting surface-assisted communication systems with phase errors," IEEE Commun. Lett., vol. 24, no. 8, pp. 1646-1650, Aug. 2020.
Z. Xing, R. Wang, J. Wu, and E. Liu, "Achievable rate analysis and phase shift optimization on intelligent reflecting surface with hardware impairments," 2020, arXiv:2005.14411. [Online]. Available: http://arxiv.org/abs/2005.14411
X. Qian et al., "Beamforming through reconfigurable intelligent surfaces in single-user MIMO systems: SNR distribution and scaling laws in the presence of channel fading and phase noise," CoRR, vol. abs/2005.07472, pp. 1-5, Sep. 2020. [Online]. Available: https://arxiv.org/abs/2005.07472
Y. Liu, E. Liu, and R. Wang, "Beamforming and performance evaluation for intelligent reflecting surface aided wireless system with hardware impairments," 2020, arXiv:2006.00664. [Online]. Available: http://arxiv.org/abs/2006.00664
H. Shen, W. Xu, S. Gong, C. Zhao, and D. W. K. Ng, "Beamforming optimization for IRS-aided communications with transceiver hardware impairments," IEEE Trans. Commun., vol. 69, no. 2, pp. 1214-1227, Feb. 2021.
G. Zhou, C. Pan, H. Ren, K. Wang, and Z. Peng, "Secure wireless communication in RIS-aided MISO systems with hardware impairments," 2020, arXiv:2012.12733. [Online]. Available: http://arxiv.org/abs/2012.12733
T. S. Rappaport et al., "Wireless communications and applications above 100 GHz: Opportunities and challenges for 6G and beyond," IEEE Access, vol. 7, pp. 78729-78757, 2019.
Y. Yang, B. Zheng, S. Zhang, and R. Zhang, "Intelligent reflecting surface meets OFDM: Protocol design and rate maximization," IEEE Trans. Commun., vol. 68, no. 7, pp. 4522-4535, Mar. 2020.
D. Neumann, M. Joham, and W. Utschick, "Covariance matrix estimation in massive MIMO," IEEE Signal Process. Lett., vol. 25, no. 6, pp. 863-867, Jun. 2018.
Q.-U.-A. Nadeem, A. Kammoun, M. Debbah, and M.-S. Alouini, "A generalized spatial correlation model for 3D MIMO channels based on the Fourier coefficients of power spectrums," IEEE Trans. Signal Process., vol. 63, no. 14, pp. 3671-3686, Jul. 2015.
E. Björnson and L. Sanguinetti, "Rayleigh fading modeling and channel hardening for reconfigurable intelligent surfaces," IEEE Wireless Commun. Lett., vol. 10, no. 4, pp. 830-834, Apr. 2021.
X. Hu, C. Zhong, Y. Zhang, X. Chen, and Z. Zhang, "Location information aided multiple intelligent reflecting surface systems," IEEE Trans. Commun., vol. 68, no. 12, pp. 7948-7962, Dec. 2020.
A. Epstein and G. V. Eleftheriades, "Synthesis of passive lossless metasurfaces using auxiliary fields for reflectionless beam splitting and perfect reflection," Phys. Rev. Lett., vol. 117, no. 25, Dec. 2016, Art. no. 256103.
T. Badloe, J. Mun, and J. Rho, "Metasurfaces-based absorption and reflection control: Perfect absorbers and reflectors," J. Nanomaterials, vol. 2017, pp. 1-18, Nov. 2017.
P. Zhang, T. Taleb, X. Jiang, and B. Wu, "Physical layer authentication for massive MIMO systems with hardware impairments," IEEE Trans. Wireless Commun., vol. 19, no. 3, pp. 1563-1576, Mar. 2020.
A. Papazafeiropoulos et al., "Scalable cell-free massive MIMO systems: Impact of hardware impairments," IEEE Trans. Veh. Technol., to be published. [Online]. Available: https://arxiv.org/pdf/2108.12642.pdf
H. Holma and A. Toskala, LTE for UMTS: Evolution to LTE-Advanced. Hoboken, NJ, USA: Wiley, 2011.
M. Badiu and J. P. Coon, "Communication through a large reflecting surface with phase errors," IEEE Wireless Commun. Lett., vol. 9, no. 2, pp. 184-188, Feb. 2019.
S. Abeywickrama, R. Zhang, Q. Wu, and C. Yuen, "Intelligent reflecting surface: Practical phase shift model and beamforming optimization," IEEE Trans. Commun., vol. 68, no. 9, pp. 5849-5863, Sep. 2020.
B. Hassibi and B. M. Hochwald, "How much training is needed in multiple-antenna wireless links?" IEEE Trans. Inf. Theory, vol. 49, no. 4, pp. 951-963, Apr. 2003.
J. Hoydis, S. ten Brink, and M. Debbah, "Massive MIMO in the UL/DL of cellular networks: How many antennas do we need?" IEEE J. Sel. Areas Commun., vol. 31, no. 2, pp. 160-171, Feb. 2013.
A. K. Papazafeiropoulos and T. Ratnarajah, "Deterministic equivalent performance analysis of time-varying massive MIMO systems," IEEE Trans. Wireless Commun., vol. 14, no. 10, pp. 5795-5809, Oct. 2015.
S. Boyd, S. P. Boyd, and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
Further Advancements for E-UTRA Physical Layer Aspects (Release 9), document 3GPP TS 36.814, 2010.
E. Björnson, M. Matthaiou, and M. Debbah, "Massive MIMO with non-ideal arbitrary arrays: Hardware scaling laws and circuit-aware design," IEEE Trans. Wireless Commun., vol. 14, no. 8, pp. 4353-4368, Aug. 2015.
A. Papazafeiropoulos and T. Ratnarajah, "Toward a realistic assessment of multiple antenna HCNs: Residual additive transceiver hardware impairments and channel aging," IEEE Trans. Veh. Technol., vol. 66, no. 10, pp. 9061-9073, Oct. 2017.
S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ, USA: Prentice-Hall, 1993.
K. B. Petersen and M. S. Pedersen. (2012). The Matrix Cookbook, Nov 2012. [Online]. Available: http://www2.imm.dtu.dk/pubdb/p.php