2026-07-25
Doppler-Aware Robust Quantized RIS Phase Optimization for Physical Layer Security in 6G Vehicular Networks under Imperfect CSI
By
Progress In Electromagnetics Research B, Vol. 118, 42-55, 2026
Abstract
Reconfigurable Intelligent Surfaces (RISs) can support physical-layer security in sixth-generation (6G) vehicular networks by reconfiguring the wireless channel. However, RIS-assisted vehicular links are affected by Doppler-induced channel aging, imperfect channel state information (CSI), feedback delay, and finite-resolution phase control. This paper develops a bounded-uncertainty Doppler-Aware Robust Quantized Alternating Optimization (DA-RQ-AO) framework for secure RIS-assisted 6G vehicular communication under imperfect and delayed CSI. The system includes a multi-antenna transmitter, a legitimate receiver, a passive eavesdropper, and a roadside RIS. A robustness-aware secrecy-rate surrogate is formulated by jointly optimizing the transmit beamformer and quantized RIS phase shifts under power, unit-modulus, CSI-uncertainty, and discrete-phase constraints. The non-convex problem is addressed through alternating optimization, where the beamformer is updated using a conservative generalized eigenvector-based solution, and the RIS phase vector is refined using an explicitly derived chain-rule-based phase-gradient update followed by finite-resolution quantization with an acceptance safeguard. Numerical results show improved secrecy rate and lower secrecy outage probability than no-RIS, random-RIS, Q-AO, and robust AO benchmarks. For N=64, the proposed scheme improves secrecy rate by 118.8% over no-RIS and 73.8% over random RIS, while 2-bit RIS control shows only 5.94% loss relative to continuous phase control.
Citation
Ravi Patel, and Atul Patel, "Doppler-Aware Robust Quantized RIS Phase Optimization for Physical Layer Security in 6G Vehicular Networks under Imperfect CSI," Progress In Electromagnetics Research B, Vol. 118, 42-55, 2026.
doi:10.2528/PIERB26061003
References

1. Noor-A-Rahim, Md., Zilong Liu, Haeyoung Lee, Mohammad Omar Khyam, Jianhua He, Dirk Pesch, Klaus Moessner, Walid Saad, and H. Vincent Poor, "6G for vehicle-to-everything (V2X) communications: Enabling technologies, challenges, and opportunities," Proceedings of the IEEE, Vol. 110, No. 6, 712-734, Jun. 2022.
doi:10.1109/jproc.2022.3173031        Google Scholar

2. Mitev, Miroslav, Arsenia Chorti, H. Vincent Poor, and Gerhard P. Fettweis, "What physical layer security can do for 6G security," IEEE Open Journal of Vehicular Technology, Vol. 4, 375-388, 2023.
doi:10.1109/ojvt.2023.3245071        Google Scholar

3. Pan, Cunhua, Hong Ren, Kezhi Wang, Jonas Florentin Kolb, Maged Elkashlan, Ming Chen, Marco Di Renzo, Yang Hao, Jiangzhou Wang, A. Lee Swindlehurst, Xiaohu You, and Lajos Hanzo, "Reconfigurable intelligent surfaces for 6G systems: Principles, applications, and research directions," IEEE Communications Magazine, Vol. 59, No. 6, 14-20, Jun. 2021.
doi:10.1109/mcom.001.2001076        Google Scholar

4. Wu, Qingqing and Rui Zhang, "Intelligent reflecting surface enhanced wireless network via joint active and passive beamforming," IEEE Transactions on Wireless Communications, Vol. 18, No. 11, 5394-5409, Nov. 2019.
doi:10.1109/twc.2019.2936025        Google Scholar

5. Zhu, Yishi, Bomin Mao, and Nei Kato, "Intelligent reflecting surface in 6G vehicular communications: A survey," IEEE Open Journal of Vehicular Technology, Vol. 3, 266-277, 2022.
doi:10.1109/ojvt.2022.3177253        Google Scholar

6. Yu, Xianghao, Dongfang Xu, Ying Sun, Derrick Wing Kwan Ng, and Robert Schober, "Robust and secure wireless communications via intelligent reflecting surfaces," IEEE Journal on Selected Areas in Communications, Vol. 38, No. 11, 2637-2652, Nov. 2020.
doi:10.1109/jsac.2020.3007043        Google Scholar

7. Jiang, Weiheng, Yu Zhang, Jinsong Wu, Wenjiang Feng, and Yi Jin, "Intelligent reflecting surface assisted secure wireless communications with multiple-transmit and multiple-receive antennas," IEEE Access, Vol. 8, 86659-86673, 2020.
doi:10.1109/access.2020.2992613        Google Scholar

8. Zhang, Zhe, Chensi Zhang, Chengjun Jiang, Fan Jia, Jianhua Ge, and Fengkui Gong, "Improving physical layer security for reconfigurable intelligent surface aided NOMA 6G networks," IEEE Transactions on Vehicular Technology, Vol. 70, No. 5, 4451-4463, May 2021.
doi:10.1109/tvt.2021.3068774        Google Scholar

9. Cao, Kunrui, Haiyang Ding, Lu Lv, Zhou Su, Jing Tao, Fengkui Gong, and Buhong Wang, "Physical-layer security for intelligent-reflecting-surface-aided wireless-powered communication systems," IEEE Internet of Things Journal, Vol. 10, No. 20, 18097-18110, Oct. 2023.
doi:10.1109/jiot.2023.3278238        Google Scholar

10. Shen, Meng, Xianfu Lei, P. Takis Mathiopoulos, and Rose Qingyang Hu, "Robust beamforming design for IRS-aided secure communication systems under complete imperfect CSI," IEEE Transactions on Vehicular Technology, Vol. 72, No. 6, 8204-8209, Jun. 2023.
doi:10.1109/tvt.2023.3243115        Google Scholar

11. Khalid, Waqas, Muhammad Atif Ur Rehman, Trinh Van Chien, Zeeshan Kaleem, Howon Lee, and Heejung Yu, "Reconfigurable intelligent surface for physical layer security in 6G-IoT: Designs, issues, and advances," IEEE Internet of Things Journal, Vol. 11, No. 2, 3599-3613, Jan. 2024.
doi:10.1109/jiot.2023.3297241        Google Scholar

12. Kaur, Ravneet, Bajrang Bansal, Sudhan Majhi, Sandesh Jain, Chongwen Huang, and Chau Yuen, "A survey on reconfigurable intelligent surface for physical layer security of next-generation wireless communications," IEEE Open Journal of Vehicular Technology, Vol. 5, 172-199, 2024.
doi:10.1109/ojvt.2023.3348658        Google Scholar

13. Khoshafa, Majid H., Omar Maraqa, Jules M. Moualeu, Sylvester Aboagye, Telex M. N. Ngatched, Mohamed H. Ahmed, Yasser Gadallah, and Marco Di Renzo, "RIS-assisted physical layer security in emerging RF and optical wireless communications systems: A comprehensive survey," IEEE Communications Surveys & Tutorials, Vol. 27, No. 4, 2156-2203, 2025.
doi:10.1109/comst.2024.3487112        Google Scholar

14. Makarfi, Abubakar U., Khaled M. Rabie, Omprakash Kaiwartya, Xingwang Li, and Rupak Kharel, "Physical layer security in vehicular networks with reconfigurable intelligent surfaces," 2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring), 1-6, Antwerp, Belgium, May 2020.
doi:10.1109/VTC2020-Spring48590.2020.9128438

15. Patel, Ravi and Atul Patel, "RIS-assisted physical layer security for vehicular networks in 6G systems," 2026 International Conference on Electric Power and Renewable Energy (EPREC), 1-5, Durg, India, Jan. 2026.
doi:10.1109/EPREC66546.2026.11411973

16. Al-Hilo, Ahmed, Moataz Samir, Mohamed Elhattab, Chadi Assi, and Sanaa Sharafeddine, "Reconfigurable intelligent surface enabled vehicular communication: Joint user scheduling and passive beamforming," IEEE Transactions on Vehicular Technology, Vol. 71, No. 3, 2333-2345, Mar. 2022.
doi:10.1109/tvt.2022.3141935        Google Scholar

17. Van Cuong, Nguyen, "Robust phase optimization for RIS-assisted SWIPT in 6G networks: A semidefinite relaxation and singular value decomposition-based approach," Progress In Electromagnetics Research C, Vol. 157, 259-267, 2025.
doi:10.2528/pierc25050401        Google Scholar

18. 3GPP, "Study on channel model for frequencies from 0.5 to 100 GHz," No. TR38.901, 3rd Generation Partnership Project (3GPP), Technical Report, version 16.1.0, 2020.