Graph Neural Network based Active and Passive Beamforming for Distributed STAR-RIS-Assisted Multi-User MISO Systems (2405.01979v2)
Abstract: This paper investigates a joint active and passive beamforming design for distributed simultaneous transmitting and reflecting (STAR) reconfigurable intelligent surface (RIS) assisted multi-user (MU)- mutiple input single output (MISO) systems, where the energy splitting (ES) mode is considered for the STAR-RIS. We aim to design the active beamforming vectors at the base station (BS) and the passive beamforming at the STAR-RIS to maximize the user sum rate under transmitting power constraints. The formulated problem is non-convex and nontrivial to obtain the global optimum due to the coupling between active beamforming vectors and STAR-RIS phase shifts. To efficiently solve the problem, we propose a novel graph neural network (GNN)-based framework. Specifically, we first model the interactions among users and network entities are using a heterogeneous graph representation. A heterogeneous graph neural network (HGNN) implementation is then introduced to directly optimizes beamforming vectors and STAR-RIS coefficients with the system objective. Numerical results show that the proposed approach yields efficient performance compared to the previous benchmarks. Furthermore, the proposed GNN is scalable with various system configurations.
- W. Saad, M. Bennis, and M. Chen, “A vision of 6g wireless systems: Applications, trends, technologies, and open research problems,” IEEE Network, vol. 34, no. 3, pp. 134–142, 2020.
- E. Basar, M. Di Renzo, J. De Rosny, M. Debbah, M.-S. Alouini, and R. Zhang, “Wireless communications through reconfigurable intelligent surfaces,” IEEE Access, vol. 7, pp. 116 753–116 773, 2019.
- X. Mu, Y. Liu, L. Guo, J. Lin, and R. Schober, “Simultaneously transmitting and reflecting (star) ris aided wireless communications,” IEEE Transactions on Wireless Communications, vol. 21, no. 5, pp. 3083–3098, 2022.
- T. Wang, F. Fang, and Z. Ding, “Joint phase shift and beamforming design in a multi-user miso star-ris assisted downlink noma network,” IEEE Transactions on Vehicular Technology, vol. 72, no. 7, pp. 9031–9043, 2023.
- C. Wu, Y. Liu, X. Mu, X. Gu, and O. A. Dobre, “Coverage characterization of star-ris networks: Noma and oma,” IEEE Communications Letters, vol. 25, no. 9, pp. 3036–3040, 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 Communications Letters, vol. 10, no. 8, pp. 1722–1726, 2021.
- P. Wang, J. Fang, X. Yuan, Z. Chen, and H. Li, “Intelligent reflecting surface-assisted millimeter wave communications: Joint active and passive precoding design,” IEEE Transactions on Vehicular Technology, vol. 69, no. 12, pp. 14 960–14 973, 2020.
- Z. Yang, M. Chen, W. Saad, W. Xu, M. Shikh-Bahaei, H. V. Poor, and S. Cui, “Energy-efficient wireless communications with distributed reconfigurable intelligent surfaces,” IEEE Transactions on Wireless Communications, vol. 21, no. 1, pp. 665–679, 2022.
- J. Lee, H. Seo, and W. Choi, “Computation-efficient reflection coefficient design for graphene-based ris in wireless communications,” IEEE Transactions on Vehicular Technology, vol. 73, no. 3, pp. 3663–3677, 2024.
- J. Gao, C. Zhong, X. Chen, H. Lin, and Z. Zhang, “Unsupervised learning for passive beamforming,” IEEE Communications Letters, vol. 24, no. 5, pp. 1052–1056, 2020.
- H. An Le, T. Van Chien, V. D. Nguyen, and W. Choi, “Double ris-assisted mimo systems over spatially correlated rician fading channels and finite scatterers,” IEEE Transactions on Communications, vol. 71, no. 8, pp. 4941–4956, 2023.
- W. Xu, L. Gan, and C. Huang, “A robust deep learning-based beamforming design for RIS-assisted multiuser MISO communications with practical constraints,” IEEE Transactions on Cognitive Communications and Networking, vol. 8, no. 2, pp. 694–706, 2022.
- R. Zhong, Y. Liu, X. Mu, Y. Chen, X. Wang, and L. Hanzo, “Hybrid reinforcement learning for star-riss: A coupled phase-shift model based beamformer,” IEEE Journal on Selected Areas in Communications, vol. 40, no. 9, pp. 2556–2569, 2022.
- J. Zhou, G. Cui, S. Hu, Z. Zhang, C. Yang, Z. Liu, L. Wang, C. Li, and M. Sun, “Graph neural networks: A review of methods and applications,” AI Open, vol. 1, pp. 57–81, 2020.
- Y. Shen, J. Zhang, S. H. Song, and K. B. Letaief, “Graph neural networks for wireless communications: From theory to practice,” IEEE Transactions on Wireless Communications, vol. 22, no. 5, pp. 3554–3569, 2023.
- M. Eisen and A. Ribeiro, “Optimal wireless resource allocation with random edge graph neural networks,” IEEE Transactions on Signal Processing, vol. 68, pp. 2977–2991, 2020.
- 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, 2021.
- A. Chowdhury, G. Verma, C. Rao, A. Swami, and S. Segarra, “Unfolding wmmse using graph neural networks for efficient power allocation,” IEEE Transactions on Wireless Communications, vol. 20, no. 9, pp. 6004–6017, 2021.
- J. Guo and C. Yang, “Learning power allocation for multi-cell-multi-user systems with heterogeneous graph neural networks,” IEEE Transactions on Wireless Communications, vol. 21, no. 2, pp. 884–897, 2022.
- J. Kim, H. Lee, S.-E. Hong, and S.-H. Park, “A bipartite graph neural network approach for scalable beamforming optimization,” IEEE Transactions on Wireless Communications, vol. 22, no. 1, pp. 333–347, 2023.
- T. Jiang, H. V. Cheng, and W. Yu, “Learning to reflect and to beamform for intelligent reflecting surface with implicit channel estimation,” IEEE Journal on Selected Areas in Communications, vol. 39, no. 7, pp. 1931–1945, 2021.
- Z.-Q. Luo and S. Zhang, “Dynamic spectrum management: Complexity and duality,” IEEE journal of selected topics in signal processing, vol. 2, no. 1, pp. 57–73, 2008.
- A. Zappone, E. Björnson, L. Sanguinetti, and E. Jorswieck, “Globally optimal energy-efficient power control and receiver design in wireless networks,” IEEE Transactions on Signal Processing, vol. 65, no. 11, pp. 2844–2859, 2017.
- M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, “Applications of second-order cone programming,” Linear Algebra and its Applications, vol. 284, no. 1, pp. 193–228, 1998.
- X. Yang, M. Yan, S. Pan, X. Ye, and D. Fan, “Simple and efficient heterogeneous graph neural network,” ser. AAAI’23/IAAI’23/EAAI’23. AAAI Press, 2023. [Online]. Available: https://doi.org/10.1609/aaai.v37i9.26283
- X. Zhang, H. Zhao, J. Xiong, X. Liu, L. Zhou, and J. Wei, “Scalable power control/beamforming in heterogeneous wireless networks with graph neural networks,” in 2021 IEEE Global Communications Conference (GLOBECOM), 2021, pp. 01–06.
- K. Hornik, M. Stinchcombe, and H. White, “Multilayer feedforward networks are universal approximators,” Neural Networks, vol. 2, no. 5, pp. 359–366, 1989.
- D. P. Kingma and J. Ba, “Adam: A method for stochastic optimization,” in 3rd International Conference on Learning Representations, ICLR 2015, San Diego, CA, USA, May 7-9, 2015, Conference Track Proceedings, Y. Bengio and Y. LeCun, Eds., 2015.
- H. A. Le, T. Van Chien, T. H. Nguyen, H. Choo, and V. D. Nguyen, “Machine learning-based 5g-and-beyond channel estimation for mimo-ofdm communication systems,” Sensors, vol. 21, no. 14, 2021.
- S. Zhang and R. Zhang, “Capacity characterization for intelligent reflecting surface aided MIMO communication,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 8, pp. 1823–1838, 2020.
- A. Paszke, S. Gross, F. Massa, A. Lerer, J. Bradbury et al., “Pytorch: An imperative style, high-performance deep learning library,” in Advances in Neural Information Processing Systems 32. Curran Associates, Inc., 2019, pp. 8024–8035.
- D. P. Kingma and J. Ba, “Adam: A method for stochastic optimization,” CoRR, vol. abs/1412.6980, 2014. [Online]. Available: https://api.semanticscholar.org/CorpusID:6628106
- H. Song, M. Zhang, J. Gao, and C. Zhong, “Unsupervised learning-based joint active and passive beamforming design for reconfigurable intelligent surfaces aided wireless networks,” IEEE Communications Letters, vol. 25, no. 3, pp. 892–896, 2021.
- Ha An Le (4 papers)
- Trinh Van Chien (63 papers)
- Wan Choi (38 papers)