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Cited by 71Advanced Wireless Communication TechnologiesAdvanced Antenna and Metasurface TechnologiesMetamaterials and Metasurfaces Applications

Achievable Rate Optimization for Stacked Intelligent Metasurface-Assisted Holographic MIMO Communications

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Papazafeiropoulos, Anastasios, An, Jiancheng, Kourtessis, Pandelis, Ratnarajah, Tharmalingam, Chatzinotas, Symeon·2024·IEEE Transactions on Wireless Communications
DOI 10.1109/twc.2024.3399318
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Abstract

Stacked intelligent metasurfaces (SIM) is a revolutionary technology, which can outperform its single-layer counterparts by performing advanced signal processing relying on wave propagation. In this work, we exploit SIM to enable transmit precoding and receiver combining in holographic multiple-input multiple-output (HMIMO) communications, and we study the achievable rate by formulating a joint optimization problem of the SIM phase shifts at both sides of the transceiver and the covariance matrix of the transmitted signal. Notably, we propose its solution by means of an iterative optimization algorithm that relies on the projected gradient method, and accounts for all optimization parameters simultaneously. We also obtain the step size guaranteeing the convergence of the proposed algorithm. Simulation results provide fundamental insights such the performance improvements compared to the single-RIS counterpart and conventional MIMO system. Remarkably, the proposed algorithm results in the same achievable rate as the alternating optimization (AO) benchmark but with a less number of iterations.

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  • Papazafeiropoulos et al. [88] designed a hybrid architecture harnessing two SIMs to enhance transmit precoding and receiver combining in HMIMO communications.

    “Specifically, Papazafeiropoulos et al. [88] designed a hybrid architecture harnessing two SIMs to enhance transmit precoding and receiver combining in HMIMO communications.”

    From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [88]

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Research works printed but not linked: 39

  1. [1][1] K. B. Letaief et al. , 'The roadmap to 6G: AI empowered wireless networks,' IEEE Commun. Mag. , vol. 57, no. 8, pp. 84-90, 2019. -
  2. [2][2] S. Dang et al. , 'What should 6G be?' Nature Electronics , vol. 3, no. 1, pp. 20-29, 2020. -
  3. [3][3] J. G. Andrews et al. , 'What will 5G be?' IEEE J. Sel. Areas Commun. , vol. 32, no. 6, pp. 1065-1082, 2014. -
  4. [4][4] M. Di Renzo et al. , 'Smart radio environments empowered by reconfigurable intelligent surfaces: How it works, state of research, and the road ahead,' IEEE J. Sel. Areas Commun. , vol. 38, no. 11, pp. 2450-2525, 2020. -
  5. [5][5] Q. Wu and R. Zhang, 'Towards smart and reconfigurable environment: Intelligent reflecting surface aided wireless network,' IEEE Commun. Mag. , vol. 58, no. 1, pp. 106-112. -
  6. [6][6] A. Papazafeiropoulos et al. , 'Intelligent reflecting surface-assisted MU-MISO systems with imperfect hardware: Channel estimation and beamforming design,' IEEE Trans. Wireless Commun. , vol. 21, no. 3, pp. 2077-2092, 2021. -
  7. [7][7] --, 'Cooperative RIS and STAR-RIS assisted mMIMO communication: Analysis and optimization,' vol. 72, no. 9, pp. 11 975-11 989. -
  8. [8][8] C. Huang et al. , 'Holographic MIMO surfaces for 6G wireless networks: Opportunities, challenges, and trends,' IEEE Wireless Commun. , vol. 27, no. 5, pp. 118-125, 2020. -
  9. [9][9] 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, 2019. -
  10. [10][10] E. Björnson, Ö. Özdogan, and E. G. Larsson, 'Intelligent reflecting surface versus decode-and-forward: How large surfaces are needed to beat relaying?' vol. 9, no. 2, pp. 244-248. -
  11. [11][11] Y. Yang et al. , 'Intelligent reflecting surface meets OFDM: Protocol design and rate maximization,' IEEE Trans. Commun. , vol. 68, no. 7, pp. 4522-4535, 2020. -
  12. [12][12] M.-M. Zhao et al. , 'Intelligent reflecting surface enhanced wireless networks: Two-timescale beamforming optimization,' IEEE Trans. Wireless Commun. , vol. 20, no. 1, pp. 2-17, 2020. -
  13. [13][13] X. Mu et al. , 'Simultaneously transmitting and reflecting (STAR) RIS aided wireless communications,' IEEE Trans. Wireless Commun. , vol. 21, no. 5, pp. 3083-3098, 2021. -
  14. [14][14] A. Papazafeiropoulos et al. , 'Achievable rate of a STAR-RIS assisted massive MIMO system under spatially-correlated channels,' IEEE Trans. Wireless Commun. , pp. 1-1, 2023. -
  15. [15][15] A. Papazafeiropoulos, P. Kourtessis, and S. Chatzinotas, 'Max-Min SINR analysis of STAR-RIS assisted massive MIMO systems with hardware impairments,' IEEE Trans. Wireless Commun. , pp. 1-1, 2023. -
  16. [16][16] A. Papazafeiropoulos et al. , 'STAR-RIS assisted cell-free massive MIMO system under spatially-correlated channels,' pp. 1-16. -
  17. [17][17] C. Pan et al. , 'Multicell MIMO communications relying on intelligent reflecting surfaces,' IEEE Trans. Wireless Commun. , vol. 19, no. 8, pp. 5218-5233, 2020. -
  18. [18][18] J. Ye, S. Guo, and M.-S. Alouini, 'Joint reflecting and precoding designs for SER minimization in reconfigurable intelligent surfaces assisted MIMO systems,' IEEE Trans. Wireless Commun. , vol. 19, no. 8, pp. 5561-5574, 2020. -
  19. [19][19] S. Zhang and R. Zhang, 'Capacity characterization for intelligent reflecting surface aided MIMO communication,' IEEE J. Sel. Areas Commun. , vol. 38, no. 8, pp. 1823-1838. -
  20. [20][20] N. S. Perovi´ c et al. , 'Achievable rate optimization for MIMO systems with reconfigurable intelligent surfaces,' IEEE Trans. Wireless Commun. , vol. 20, no. 6, pp. 3865-3882, 2021. -
  21. [21][21] T. L. Marzetta et al. , Fundamentals of Massive MIMO . Cambridge University Press, 2016. -
  22. [22][22] Z. Wan et al. , 'Terahertz massive MIMO with holographic reconfigurable intelligent surfaces,' IEEE Trans. Commun. , vol. 69, no. 7, pp. 47324750, 2021. -
  23. [24][24] A. Pizzo, T. L. Marzetta, and L. Sanguinetti, 'Spatially-stationary model for holographic MIMO small-scale fading,' IEEE J. Sel. Areas Commun. , vol. 38, no. 9, pp. 1964-1979, 2020. -
  24. [25][25] A. Pizzo, L. Sanguinetti, and T. L. Marzetta, 'Fourier plane-wave series expansion for holographic MIMO communications,' IEEE Trans. Wireless Commun. , vol. 21, no. 9, pp. 6890-6905, 2022. -
  25. [26][26] Ö. T. Demir, E. Björnson, and L. Sanguinetti, 'Channel modeling and channel estimation for holographic massive MIMO with planar arrays,' IEEE Wireless Commun. Let. , vol. 11, no. 5, pp. 997-1001, 2022. -
  26. [28][28] J. An et al. , 'Stacked intelligent metasurfaces for multiuser beamforming in the wave domain,' networks , vol. 7, p. 13, 2023. -
  27. [29][29] --, 'Stacked intelligent metasurfaces for efficient holographic MIMO communications in 6G,' IEEE J. Sel. Areas Commun. , 2023. -
  28. [30][30] Ö. Özdogan, E. Björnson, and E. G. Larsson, 'Using intelligent reflecting surfaces for rank improvement in MIMO communications,' in ICASSP 2020-2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . IEEE, 2020, pp. 9160-9164. -
  29. [31][31] N. S. Perovi´ c, M. Di Renzo, and M. F. Flanagan, 'Channel capacity optimization using reconfigurable intelligent surfaces in indoor mmWave environments,' in ICC 2020-2020 IEEE International Conference on Communications (ICC) . IEEE, 2020, pp. 1-7. -
  30. [32][32] S. Abeywickrama et al. , 'Intelligent reflecting surface: Practical phase shift model and beamforming optimization,' IEEE Trans. Commun. , vol. 68, no. 9, pp. 5849-5863, 2020. -
  31. [34][34] Y. LeCun, Y. Bengio, and G. Hinton, 'Deep learning,' Nature , vol. 521, no. 7553, pp. 436-444, 2015. -
  32. [35][35] X. Hu et al. , 'Holographic beamforming for ultra massive MIMO with limited radiation amplitudes: How many quantized bits do we need?' IEEE Commun. Let. , vol. 26, no. 6, pp. 1403-1407, 2022. -
  33. [36][36] L. Dai et al. , 'Reconfigurable intelligent surface-based wireless communications: Antenna design, prototyping, and experimental results,' IEEE Access , vol. 8, pp. 45 913-45 923, 2020. -
  34. [37][37] T. S. Rappaport et al. , 'Wideband millimeter-wave propagation measurements and channel models for future wireless communication system design,' IEEE Trans. Commun. , vol. 63, no. 9, pp. 3029-3056, 2015. -
  35. [38][38] Q.-U.-A. Nadeem, J. An, and A. Chaaban, 'Hybrid digital-wave domain channel estimator for stacked intelligent metasurface enabled multi-user MISO systems,' arXiv preprint arXiv:2309.16204 . - · arXiv
  36. [39][39] H. ElSawy et al. , 'Modeling and analysis of cellular networks using stochastic geometry: A tutorial,' IEEE Commun. Surveys Tuts. , vol. 19, no. 1, pp. 167-203, 2017. -
  37. [42][42] H. Li and Z. Lin, 'Accelerated proximal gradient methods for nonconvex programming,' Advances in neural information processing systems , vol. 28, 2015. -
  38. [43][43] A. Hjørungnes, Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communications . Cambridge University Press, 2011. -
  39. [44][44] T. M. Pham, R. Farrell, and L.-N. Tran, 'Revisiting the MIMO capacity with per-antenna power constraint: Fixed-point iteration and alternating optimization,' IEEE Trans. Wireless Commun. , vol. 18, no. 1, pp. 388401, 2018.

Cited by

Sorted by citations

Authors
Papazafeiropoulos, A., An, J., Kourtessis, P., Ratnarajah, T., & Chatzinotas, S.
Affiliations
  • University of Hertfordshire (GB)
  • Nanyang Technological University (SG)
  • University of Edinburgh (GB)
  • University of Luxembourg (LU)
ORCID
Venue
IEEE Transactions on Wireless Communications
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2024-10
Volume
23
Issue
10
Pages
13173-13186
ISSN
  • 1536-1276 (ISSN-L)
  • 1558-2248
DOI
10.1109/twc.2024.3399318
OpenAlex
W4397026518
Cited by
71
References
3
Citations by year
2026: 27 · 2025: 38 · 2024: 6
FWCI
7.34
Type
journal article
Language
en
Open access
Licence
Locations
  • IEEE Transactions on Wireless Communications (publishedVersion)
  • arXiv (Cornell University) (submittedVersion, cc-by)
  • Open Repository and Bibliography (University of Luxembourg) (submittedVersion, other-oa)
  • DR-NTU (Nanyang Technological University) (submittedVersion)
  • Edinburgh Research Explorer (University of Edinburgh) (submittedVersion, cc-by)
  • arXiv (Cornell University) (cc-by)
Funders
  • University of Hertfordshire’s Five-Year Vice Chancellor’s Research Fellowship
  • National Research Fund, Luxembourg (RISOTTI)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Wireless Communication Technologies
  • Physical Sciences › Engineering › Aerospace Engineering › Advanced Antenna and Metasurface Technologies
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
Keywords
stacked intelligent metasurfaces, holographic MIMO, precoding, phase shift optimization, covariance matrix optimization, gradient projection, reconfigurable intelligent surface

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