CSI Transfer From Sub-6G to mmWave: Reduced-Overhead Multi-User Hybrid Beamforming
Abstract: Hybrid beamforming is vital in modern wireless systems, especially for massive MIMO and millimeter-wave (mmWave) deployments, offering efficient directional transmission with reduced hardware complexity. However, effective beamforming in multi-user scenarios relies heavily on accurate channel state information, the acquisition of which often requires significant pilot overhead, degrading system performance. To address this and inspired by the spatial congruence between sub-6GHz (sub-6G) and mmWave channels, we propose a Sub-6G information Aided Multi-User Hybrid Beamforming (SA-MUHBF) framework, avoiding excessive use of pilots at mmWave. SA-MUHBF employs a convolutional neural network to predict mmWave beamspace from sub-6G channel estimate, followed by a novel multi-layer graph neural network for analog beam selection and a linear minimum mean-square error algorithm for digital beamforming. Numerical results demonstrate that SA-MUHBF efficiently predicts the mmWave beamspace representation and achieves superior spectrum efficiency over state-of-the-art benchmarks. Moreover, SA-MUHBF demonstrates robust performance across varied sub-6G system configurations and exhibits strong generalization to unseen scenarios.
- C. Liu, M. Li, S. V. Hanly, P. Whiting, and I. B. Collings, “Millimeter-wave small cells: Base station discovery, beam alignment, and system design challenges,” IEEE Wireless Communications, vol. 25, no. 4, pp. 40–46, 2018.
- A. Alkhateeb, O. El Ayach, G. Leus, and R. W. Heath, “Channel estimation and hybrid precoding for millimeter wave cellular systems,” IEEE Journal of Selected Topics in Signal Processing, vol. 8, no. 5, pp. 831–846, 2014.
- 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 Journal of Selected Topics in Signal Processing, vol. 10, no. 3, pp. 436–453, 2016.
- F. Sohrabi and W. Yu, “Hybrid Digital and Analog Beamforming Design for Large-Scale Antenna Arrays,” IEEE Journal of Selected Topics in Signal Processing, vol. 10, no. 3, pp. 501–513, Apr. 2016.
- A. Alkhateeb and R. W. Heath, “Frequency selective hybrid precoding for limited feedback millimeter wave systems,” IEEE Transactions on Communications, vol. 64, no. 5, pp. 1801–1818, 2016.
- Q. Hu, Y. Cai, K. Kang, G. Yu, J. Hoydis, and Y. C. Eldar, “Two-Timescale End-to-End Learning for Channel Acquisition and Hybrid Precoding,” IEEE Journal on Selected Areas in Communications, vol. 40, no. 1, pp. 163–181, Jan. 2022.
- A. Alkhateeb, G. Leus, and R. W. Heath, “Limited feedback hybrid precoding for multi-user millimeter wave systems,” IEEE transactions on wireless communications, vol. 14, no. 11, pp. 6481–6494, 2015.
- S. S. Nair and S. Bhashyam, “Hybrid beamforming in mu-mimo using partial interfering beam feedback,” IEEE Communications Letters, vol. 24, no. 7, pp. 1548–1552, 2020.
- A. M. Elbir and A. K. Papazafeiropoulos, “Hybrid precoding for multiuser millimeter wave massive mimo systems: A deep learning approach,” IEEE Transactions on Vehicular Technology, vol. 69, no. 1, pp. 552–563, 2019.
- W. Jin, J. Zhang, C.-K. Wen, and S. Jin, “Model-driven deep learning for hybrid precoding in millimeter wave mu-mimo system,” IEEE Transactions on Communications, vol. 71, no. 10, pp. 5862–5876, 2023.
- M. Peter, K. Sakaguchi, S. Jaeckel, S. Wu, M. Nekovee, J. Medbo, K. Haneda, S. Nguyen, R. Naderpour, J. Vehmas et al., “Measurement campaigns and initial channel models for preferred suitable frequency ranges,” Deliverable D2, vol. 1, p. 160, 2016.
- M. K. Samimi and T. S. Rappaport, “3-d millimeter-wave statistical channel model for 5g wireless system design,” IEEE Transactions on Microwave Theory and Techniques, vol. 64, no. 7, pp. 2207–2225, 2016.
- D. Dupleich, N. Han, A. Ebert, R. Müller, S. Ludwig, A. Artemenko, J. Eichinger, T. Geiss, G. Del Galdo, and R. Thomä, “From sub-6 ghz to mm-wave: Simultaneous multi-band characterization of propagation from measurements in industry scenarios,” in 2022 16th European Conference on Antennas and Propagation (EuCAP), 2022, pp. 1–5.
- P. Kyösti, P. Zhang, A. Pärssinen, K. Haneda, P. Koivumäki, and W. Fan, “On the feasibility of out-of-band spatial channel information for millimeter-wave beam search,” IEEE Transactions on Antennas and Propagation, vol. 71, no. 5, pp. 4433–4443, 2023.
- T. Nitsche, A. B. Flores, E. W. Knightly, and J. Widmer, “Steering with eyes closed: mm-wave beam steering without in-band measurement,” in 2015 IEEE Conference on Computer Communications (INFOCOM), 2015, pp. 2416–2424.
- A. Ali, N. González-Prelcic, and R. W. Heath, “Estimating millimeter wave channels using out-of-band measurements,” in 2016 Information Theory and Applications Workshop (ITA), 2016, pp. 1–6.
- A. Ali, N. González-Prelcic, and R. W. Heath, “Spatial covariance estimation for millimeter wave hybrid systems using out-of-band information,” IEEE Transactions on Wireless Communications, vol. 18, no. 12, pp. 5471–5485, 2019.
- A. Ali, N. González-Prelcic, and R. W. Heath, “Millimeter wave beam-selection using out-of-band spatial information,” IEEE Transactions on Wireless Communications, vol. 17, no. 2, pp. 1038–1052, 2017.
- M. Alrabeiah and A. Alkhateeb, “Deep learning for mmwave beam and blockage prediction using sub-6 ghz channels,” IEEE Transactions on Communications, vol. 68, no. 9, pp. 5504–5518, 2020.
- W. Deng, M. Li, Y. Liu, M.-M. Zhao, and M. Lei, “Enhancing mmwave beam prediction through deep learning with sub-6 ghz channel estimate,” in 2024 IEEE Wireless Communications and Networking Conference (WCNC2024), 2024, pp. 1–6, accepted.
- I. Chafaa, R. Negrel, E. V. Belmega, and M. Debbah, “Federated channel-beam mapping: from sub-6ghz to mmwave,” in 2021 IEEE Wireless Communications and Networking Conference Workshops (WCNCW), 2021, pp. 1–6.
- K. Ma, D. He, H. Sun, and Z. Wang, “Deep learning assisted mmwave beam prediction with prior low-frequency information,” in ICC 2021-IEEE International Conference on Communications, 2021, pp. 1–6.
- F. Maschietti, D. Gesbert, and P. de Kerret, “Coordinated Beam Selection in Millimeter Wave Multi-User MIMO using Out-of-Band Information,” in ICC 2019 - 2019 IEEE International Conference on Communications (ICC), 2019, pp. 1–6.
- Z. Li, C. Zhang, I.-T. Lu, and X. Jia, “Hybrid Precoding Using Out-of-Band Spatial Information for Multi-User Multi-RF-Chain Millimeter Wave Systems,” IEEE Access, vol. 8, pp. 50 872–50 883, 2020.
- J. Liu, X. Li, T. Fan, S. Lv, and M. Shi, “Collaborative management of resource allocation and precoding for dual-mode networks,” IEEE Transactions on Vehicular Technology, vol. 72, no. 8, pp. 10 879–10 893, 2023.
- S. He, S. Xiong, Y. Ou, J. Zhang, J. Wang, Y. Huang, and Y. Zhang, “An overview on the application of graph neural networks in wireless networks,” IEEE Open Journal of the Communications Society, vol. 2, pp. 2547–2565, 2021.
- Y. Shen, Y. Shi, J. Zhang, and K. B. Letaief, “Graph neural networks for scalable radio resource management: Architecture design and theoretical analysis,” IEEE Journal on Selected Areas in Communications, vol. 39, no. 1, pp. 101–115, 2020.
- M. Lee, G. Yu, and G. Y. Li, “Graph embedding-based wireless link scheduling with few training samples,” IEEE Transactions on Wireless Communications, vol. 20, no. 4, pp. 2282–2294, 2020.
- S. He, S. Xiong, W. Zhang, Y. Yang, J. Ren, and Y. Huang, “Gblinks: Gnn-based beam selection and link activation for ultra-dense d2d mmwave networks,” IEEE Transactions on Communications, vol. 70, no. 5, pp. 3451–3466, 2022.
- W. Deng, Y. Liu, M. Li, and M. Lei, “Gnn-aided user association and beam selection for mmwave-integrated heterogeneous networks,” IEEE Wireless Communications Letters, vol. 12, no. 11, pp. 1836–1840, 2023.
- A. Alkhateeb, “DeepMIMO: A generic deep learning dataset for millimeter wave and massive MIMO applications,” in Proc. of Information Theory and Applications Workshop (ITA), San Diego, CA, Feb 2019, pp. 1–8.
- Remcom, “Wireless InSite,” http://www.remcom.com/wireless-insite.
- A. Alkhateeb, G. Leus, and R. W. Heath, “Compressed sensing based multi-user millimeter wave systems: How many measurements are needed?” in 2015 IEEE international conference on acoustics, speech and signal processing (ICASSP), 2015, pp. 2909–2913.
- Y. Bengio, A. Courville, and P. Vincent, “Representation learning: A review and new perspectives,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 35, no. 8, pp. 1798–1828, 2013.
- Y. Shi, Z. Huang, S. Feng, H. Zhong, W. Wang, and Y. Sun, “Masked Label Prediction: Unified Message Passing Model for Semi-Supervised Classification,” in Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence. Montreal, Canada: International Joint Conferences on Artificial Intelligence Organization, Aug. 2021, pp. 1548–1554.
- D. H. Nguyen and T. Le-Ngoc, “Mmse precoding for multiuser miso downlink transmission with non-homogeneous user snr conditions,” EURASIP Journal on Advances in Signal Processing, vol. 2014, no. 1, pp. 1–12, 2014.
- “ReduceLROnPlateau — PyTorch 2.1 documentation.” [Online]. Available: https://pytorch.org/docs/stable/generated/torch.optim.lr_scheduler.ReduceLROnPlateau.html
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