Stacked Intelligent Metasurfaces for Efficient Holographic MIMO Communications in 6G
Open accessAbstract
A revolutionary technology relying on Stacked Intelligent Metasurfaces (SIM) is capable of carrying out advanced signal processing directly in the native electromagnetic (EM) wave regime. An SIM is fabricated by a sophisticated amalgam of multiple stacked metasurface layers, which may outperform its single-layer metasurface counterparts, such as reconfigurable intelligent surfaces (RIS) and metasurface lenses. We harness this new SIM for implementing holographic multiple-input multiple-output (HMIMO) communications without requiring excessive radio-frequency (RF) chains, which is a substantial benefit compared to existing implementations. First of all, we propose an HMIMO communication system based on a pair of SIM at the transmitter (TX) and receiver (RX), respectively. In sharp contrast to the conventional MIMO designs, SIM is capable of automatically accomplishing transmit precoding and receiver combining, as the EM waves propagate through them. As such, each spatial stream can be directly radiated and recovered from the corresponding transmit and receive port. Secondly, we formulate the problem of minimizing the error between the actual end-to-end channel matrix and the target diagonal one, representing a flawless interference-free system of parallel subchannels. This is achieved by jointly optimizing the phase shifts associated with all the metasurface layers of both the TX-SIM and RX-SIM. We then design a gradient descent algorithm to solve the resultant non-convex problem. Furthermore, we theoretically analyze the HMIMO channel capacity bound and provide some fundamental insights. Finally, extensive simulation results are provided for characterizing our SIM-aided HMIMO system, which quantifies its substantial performance benefits, e.g., 150% capacity improvement over both conventional MIMO and its RIS-aided counterparts.
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Recent prototypes have demonstrated SIMs with capabilities for MIMO beamforming, radar sensing, and image classification.
“Recent prototypes have demonstrated SIMs with impressive capabilities for applications such as MIMO beamforming [25], radar sensing [26], and image classification [27].”
From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [25]
The Proposed SIM Design section describes SIM-based precoding and combining for MIMO communications, supporting the beamforming application attributed to [25]. But the Simulation Setups section says the performance results come from simulations; our copy does not establish that a prototype demonstrated this capability. Radar sensing and image classification are attached to other citations and are not judged here. (LLM, conf=0.88)
Experimental — accuracy not yet measuredBy properly configuring the transmission coefficients of the meta-atoms on each metasurface, a SIM can automatically accomplish various advanced computation and signal processing tasks as electromagnetic waves propagate through the layered structure at the speed of light.
“By properly configuring the transmission coefficients of the meta-atoms on each metasurface, a SIM becomes capable of automatically accomplishing various advanced computation and signal processing tasks as EM waves propagate through the layered structure at the speed of light [25], [26].”
From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [25]
In [25], An et al. harnessed a pair of SIM devices to automatically perform MIMO precoding and combining as electromagnetic waves propagate through them.
“In [25], An et al. harnessed a pair of SIM devices to automatically perform MIMO precoding and combining as EM waves propagate through them.”
From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [25]
The field response impinging on each layer is the weighted sum of the diffracted fields from the meta-atoms on the previous layer, with the weight coefficient determined by the product of the complex-valued transmission coefficients and corresponding propagation coefficients.
“The field response impinging on each layer is the weighted sum of the diffracted fields from the meta-atoms on the previous layer, with the weight coefficient determined by the product of the complex-valued transmission coefficients and corresponding propagation coefficients [25], [26].”
From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [25]
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Cites
All-optical machine learning using diffractive deep neural networks
Lin, X., Rivenson, Y., Yardimci, N. T., Veli, M., Luo, Y., Jarrahi, M., & Ozcan, A. (2018) · Science · doi:10.1126/science.aat8084 · Cited by 2,568 · see citing works
Beyond Massive MIMO: The Potential of Data Transmission With Large Intelligent Surfaces
Hu, S., Rusek, F., & Edfors, O. (2018) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2018.2816577 · Cited by 892 · see citing works
A programmable diffractive deep neural network based on a digital-coding metasurface array
Liu, C., Ma, Q., Luo, Z. J., Hong, Q. R., Xiao, Q., Zhang, H. C., Miao, L., Yu, W. M., Cheng, Q., Li, L., et al. (2022) · Nature Electronics · doi:10.1038/s41928-022-00719-9 · Cited by 633 · see citing works
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Research works printed but not linked: 49
- S. Dang, O. Amin, B. Shihada, and M.-S. Alouini, "What should 6G be?," Nat. Electron., vol. 3, pp. 20-29, Jan. 2020.
- K. B. Letaief, W. Chen, Y. Shi, J. Zhang, and Y.-J. A. Zhang, "The roadmap to 6G: AI empowered wireless networks," IEEE Commun. Mag., vol. 57, pp. 84-90, Aug. 2019.
- O. Kodheli, E. Lagunas, N. Maturo, S. K. Sharma, B. Shankar, J. F. M. Montoya, J. C. M. Duncan, D. Spano, S. Chatzinotas, S. Kisseleff, J. Querol, L. Lei, T. X. Vu, and G. Goussetis, "Satellite communications in the new space era: A survey and future challenges," IEEE Commun. Surveys Tuts., vol. 23, pp. 70-109, 1st Quart. 2021.
- J. An, C. Xu, Q. Wu, D. W. K. Ng, M. D. Renzo, C. Yuen, and L. Hanzo, "Codebook-based solutions for reconfigurable intelligent surfaces and their open challenges," IEEE Wireless Commun., pp. 1-8, 2022, Early Access.
- Q. Wu and R. Zhang, "Towards smart and reconfigurable environment: Intelligent reflecting surface aided wireless network," IEEE Commun. Mag., vol. 58, pp. 106-112, Jan. 2020.
- X. Yu, V. Jamali, D. Xu, D. W. K. Ng, and R. Schober, "Smart and reconfigurable wireless communications: From IRS modeling to algorithm design," IEEE Wireless Commun., vol. 28, pp. 118-125, Dec. 2021.
- H. Zhang, S. Zeng, B. Di, Y. Tan, M. Di Renzo, M. Debbah, Z. Han, H. V. Poor, and L. Song, "Intelligent omni-surfaces for full-dimensional wireless communications: Principles, technology, and implementation," IEEE Commun. Mag., vol. 60, pp. 39-45, Feb. 2022.
- M. Jian, G. C. Alexandropoulos, E. Basar, C. Huang, R. Liu, Y. Liu, and C. Yuen, "Reconfigurable intelligent surfaces for wireless communica- tions: Overview of hardware designs, channel models, and estimation techniques," Intelligent, Converged Netw., vol. 3, pp. 1-32, Mar. 2022.
- J. An, C. Xu, L. Gan, and L. Hanzo, "Low-complexity channel estima- tion and passive beamforming for RIS-assisted MIMO systems relying on discrete phase shifts," IEEE Trans. Commun., vol. 70, pp. 1245-1260, Feb. 2022.
- G. C. Alexandropoulos, N. Shlezinger, and P. del Hougne, "Reconfig- urable intelligent surfaces for rich scattering wireless communications: Recent experiments, challenges, and opportunities," IEEE Commun. Mag., vol. 59, pp. 28-34, Jun. 2021.
- C. Huang, A. Zappone, G. C. Alexandropoulos, M. Debbah, and C. Yuen, "Reconfigurable intelligent surfaces for energy efficiency in wireless communication," IEEE Trans. Wireless Commun., vol. 18, pp. 4157-4170, Aug. 2019.
- Q. Wu, S. Zhang, B. Zheng, C. You, and R. Zhang, "Intelligent reflecting surface-aided wireless communications: A tutorial," IEEE Trans. Commun., vol. 69, pp. 3313-3351, May 2021.
- W. Xu, J. An, C. Huang, L. Gan, and C. Yuen, "Deep reinforcement learning based on location-aware imitation environment for RIS-aided mmwave MIMO systems," IEEE Wireless Commun. Lett., vol. 11, pp. 1493-1497, Jul. 2022.
- Y. Han, W. Tang, S. Jin, C.-K. Wen, and X. Ma, "Large intelli- gent surface-assisted wireless communication exploiting statistical CSI," IEEE Trans. Veh. Technol., vol. 68, pp. 8238-8242, Aug. 2019.
- C. Xu, J. An, T. Bai, L. Xiang, S. Sugiura, R. G. Maunder, L.-L. Yang, and L. Hanzo, "Reconfigurable intelligent surface assisted multi-carrier wireless systems for doubly selective high-mobility Ricean channels," IEEE Trans. Veh. Technol., vol. 71, pp. 4023-4041, Apr. 2022.
- C. Pan, H. Ren, K. Wang, W. Xu, M. Elkashlan, A. Nallanathan, and L. Hanzo, "Multicell MIMO communications relying on intelligent reflecting surfaces," IEEE Trans. Wireless Commun., vol. 19, pp. 5218- 5233, Aug. 2020.
- J. An, Q. Wu, and C. Yuen, "Scalable channel estimation and reflection optimization for reconfigurable intelligent surface-enhanced OFDM sys- tems," IEEE Wireless Commun. Lett., vol. 11, pp. 796-800, Apr. 2022.
- T. L. Jensen and E. De Carvalho, "An optimal channel estimation scheme for intelligent reflecting surfaces based on a minimum variance unbiased estimator," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), pp. 5000-5004, May 2020.
- J. An and L. Gan, "The low-complexity design and optimal training overhead for IRS-assisted MISO systems," IEEE Wireless Commun. Lett., vol. 10, pp. 1820-1824, Aug. 2021.
- E. G. Larsson, O. Edfors, F. Tufvesson, and T. L. Marzetta, "Massive MIMO for next generation wireless systems," IEEE Commun. Mag., vol. 52, pp. 186-195, Feb. 2014.
- T. L. Marzetta, "Noncooperative cellular wireless with unlimited num- bers of base station antennas," IEEE Trans. Wireless Commun., vol. 9, pp. 3590-3600, Nov. 2010.
- C. Huang, S. Hu, G. C. Alexandropoulos, A. Zappone, C. Yuen, R. Zhang, M. D. Renzo, and M. Debbah, "Holographic MIMO surfaces for 6G wireless networks: Opportunities, challenges, and trends," IEEE Wireless Commun., vol. 27, pp. 118-125, Oct. 2020.
- N. Shlezinger, G. C. Alexandropoulos, M. F. Imani, Y. C. Eldar, and D. R. Smith, "Dynamic metasurface antennas for 6G extreme massive MIMO communications," IEEE Wireless Commun., vol. 28, pp. 106- 113, Apr. 2021.
- Z. Wan, Z. Gao, F. Gao, M. D. Renzo, and M.-S. Alouini, "Terahertz massive MIMO with holographic reconfigurable intelligent surfaces," IEEE Trans. Commun., vol. 69, pp. 4732-4750, Jul. 2021.
- D. Dardari, "Communicating with large intelligent surfaces: Fundamen- tal limits and models," IEEE J. Sel. Areas Commun., vol. 38, pp. 2526- 2537, Nov. 2020.
- A. Pizzo, T. L. Marzetta, and L. Sanguinetti, "Spatially-stationary model for holographic MIMO small-scale fading," IEEE J. Sel. Areas Commun., vol. 38, pp. 1964-1979, Sep. 2020.
- A. Pizzo, L. Sanguinetti, and T. L. Marzetta, "Fourier plane-wave series expansion for holographic MIMO communications," IEEE Trans. Wireless Commun., pp. 1-16, 2022, Early Access.
- O. T. Demir, E. Björnson, and L. Sanguinetti, "Channel modeling and channel estimation for holographic massive MIMO with planar arrays," IEEE Wireless Commun. Lett., vol. 11, pp. 997-1001, May 2022.
- X. Hu, R. Deng, B. Di, H. Zhang, and L. Song, "Holographic beam- forming for ultra massive MIMO with limited radiation amplitudes: How many quantized bits do we need?," IEEE Commun. Lett., pp. 1-5, 2022, Early Access.
- R. Deng, B. Di, H. Zhang, and L. Song, "HDMA: Holographic- pattern division multiple access," IEEE J. Sel. Areas Commun., vol. 40, pp. 1317-1332, Apr. 2022.
- L. Wei, C. Huang, G. C. Alexandropoulos, W. E. Sha, Z. Zhang, M. Debbah, and C. Yuen, "Multi-user holographic MIMO surfaces: Channel modeling and spectral efficiency analysis," IEEE J. Sel. Topics Signal Process., pp. 1-13, 2022, Early Access.
- N. Chamanara, Y. Vahabzadeh, and C. Caloz, "Stacked metasurface slab," in Proc. Int. Congress Artificial Materials, Novel Wave Phenom- ena, pp. 70-72, IEEE, Aug. 2018.
- Y. Hu, X. Luo, Y. Chen, Q. Liu, X. Li, Y. Wang, N. Liu, and H. Duan, "3D-integrated metasurfaces for full-colour holography," Light: Science & Applications, vol. 8, no. 1, pp. 1-9, 2019.
- C. Pfeiffer and A. Grbic, "Cascaded metasurfaces for complete phase and polarization control," Applied Physics Lett., vol. 102, p. 231116, Jun. 2013.
- Y. Zhou, I. I. Kravchenko, H. Wang, J. R. Nolen, G. Gu, and J. Valentine, "Multilayer noninteracting dielectric metasurfaces for multiwavelength metaoptics," Nano Lett., vol. 18, pp. 7529-7537, Nov. 2018.
- J. An, M. Di Renzo, M. Debbah, and C. Yuen, "Stacked intelligent metasurfaces for multiuser beamforming in the wave domain," in Proc. IEEE Int. Conf. Commun. (ICC), pp. 1-6, Rome, Italy, May 2023.
- J. An, C. Xu, L. Wang, Y. Liu, L. Gan, and L. Hanzo, "Joint training of the superimposed direct and reflected links in reconfigurable intel- ligent surface assisted multiuser communications," IEEE Trans. Green Commun. Netw., vol. 6, pp. 739-754, Jun. 2022.
- W. Tang, M. Z. Chen, X. Chen, J. Y. Dai, Y. Han, M. Di Renzo, Y. Zeng, S. Jin, Q. Cheng, and T. J. Cui, "Wireless communications with reconfigurable intelligent surface: Path loss modeling and experimental measurement," IEEE Trans. Wireless Commun., vol. 20, pp. 421-439, Jan. 2021.
- X. Cao, B. Yang, C. Huang, C. Yuen, M. Di Renzo, Z. Han, D. Niy- ato, H. V. Poor, and L. Hanzo, "AI-assisted MAC for reconfigurable intelligent-surface-aided wireless networks: Challenges and opportuni- ties," IEEE Commun. Mag., vol. 59, pp. 21-27, Jun. 2021.
- Y. LeCun, Y. Bengio, and G. Hinton, "Deep learning," Nat., vol. 521, pp. 436-444, May 2015.
- X. Yao, K. Klyukin, W. Lu, M. Onen, S. Ryu, D. Kim, N. Emond, I. Waluyo, A. Hunt, J. A. Del Alamo, et al., "Protonic solid-state electrochemical synapse for physical neural networks," Nat. Commun., vol. 11, pp. 1-10, Jun. 2020.
- D. Tse and P. Viswanath, Fundamentals of wireless communication. Cambridge university press, 2005.
- T. J. Cui, M. Q. Qi, X. Wan, J. Zhao, and Q. Cheng, "Coding metamaterials, digital metamaterials and programmable metamaterials," Light, Sci. Appl., vol. 3, pp. 1-9, Oct. 2014.
- E. Arbabi, A. Arbabi, S. M. Kamali, Y. Horie, M. Faraji-Dana, and A. Faraon, "MEMS-tunable dielectric metasurface lens," Nat. Commun., vol. 9, pp. 1-9, Feb. 2018.
- L. Dai, B. Wang, M. Wang, X. Yang, J. Tan, S. Bi, S. Xu, F. Yang, Z. Chen, M. D. Renzo, C.-B. Chae, and L. Hanzo, "Reconfigurable intelligent surface-based wireless communications: Antenna design, pro- totyping, and experimental results," IEEE Access, vol. 8, pp. 45913- 45923, Mar. 2020.
- T. S. Rappaport, G. R. MacCartney, M. K. Samimi, and S. Sun, "Wide- band millimeter-wave propagation measurements and channel models for future wireless communication system design," IEEE Trans. Commun., vol. 63, pp. 3029-3056, Sep. 2015.
- R. W. Heath, N. González-Prelcic, S. Rangan, W. Roh, and A. M. Sayeed, "An overview of signal processing techniques for millimeter wave MIMO systems," IEEE J. Sel. Topics Signal Process., vol. 10, pp. 436-453, Apr. 2016.
- S. Basodi, C. Ji, H. Zhang, and Y. Pan, "Gradient amplification: An efficient way to train deep neural networks," Big Data Mining and Analytics, vol. 3, pp. 196-207, Sep. 2020.
- S. Zhang and R. Zhang, "Capacity characterization for intelligent reflecting surface aided MIMO communication," IEEE J. Sel. Areas Commun., vol. 38, pp. 1823-1838, Aug. 2020.
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InfluentialSelf-citation
- Authors
- An, J., Xu, C., Ng, D. W. K., Alexandropoulos, G. C., Huang, C., Yuen, C., & Hanzo, L.
- Affiliations
- Singapore University of Technology and Design (SG)
- University of Southampton (GB)
- UNSW Sydney (AU)
- National and Kapodistrian University of Athens (GR)
- Xidian University (CN)
- Nanyang Technological University (SG)
- ORCID
- Venue
- IEEE Journal on Selected Areas in Communications
- Published
- 2023-08
- Volume
- 41
- Issue
- 8
- Pages
- 2380-2396
- ISSN
- 0733-8716 (ISSN-L)
- 1558-0008
- OpenAlex
- W4381785979
- Cited by
- 358
- References
- 3
- Citations by year
- 2026: 92 · 2025: 146 · 2024: 104 · 2023: 16
- FWCI
- 26.59
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- IEEE Journal on Selected Areas in Communications (publishedVersion)
- ePrints Soton (University of Southampton) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- UNSWorks (UNSW Sydney) (submittedVersion, cc-by-nc-nd)
- DR-NTU (Nanyang Technological University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Singapore, under its Ministry of Education (MOE) Tier 2 (MOE-T2EP50220-0019)
- Science and Engineering Research Council of Agency for Science, Technology and Research (A*STAR) Singapore (M22L1b0110)
- Australian Research Council's Discovery Project (DP210102169, DP230100603)
- Smart Networks and Services Joint Undertaking (SNS JU) TERahertz ReconfigurAble METAsurfaces for ultra-high rate wireless communications (TERRAMETA) Project
- European Union’s Horizon Europe Research and Innovation Program (101097101)
- China National Key Research and Development Program (2021YFA1000500)
- National Natural Science Foundation of China (62101492)
- Zhejiang Provincial Natural Science Foundation of China (LR22F010002)
- Zhejiang University Global Partnership Fund
- Zhejiang University Education Foundation Qizhen Scholar Foundation
- Fundamental Research Funds for the Central Universities (2021FZZX001-21)
- Engineering and Physical Sciences Research Council
- European Research Council's Advanced Fellow Grant QuantCom (789028)
- 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, 6G communication, reconfigurable intelligent surface, precoding, channel capacity bounds, gradient descent, non-convex optimization
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