Physical Layer Security for Keyhole-based NOMA Downlink Systems with a Multi-antenna Eavesdropper
DOI:
https://doi.org/10.26636/jtit.2025.3.2116Keywords:
keyhole, multi-antenna, NOMA, physical layer security, secrecy outage probabilityAbstract
This paper investigates the physical layer security of downlink nonorthogonal multiple access (NOMA) systems operating over a degenerate keyhole channel in the presence of a multi-antenna eavesdropper. We propose a joint antenna selection framework with transmit antenna selection at the source and receive antenna selection at both legitimate users and eavesdroppers, thus striving to reduce hardware complexity while maximizing secrecy performance. In this framework, the efficacy of confidentiality is assessed for a specific user allocation methodology by deriving the closed-form approximate expression of secrecy outage probability (SOP). Extensive Monte Carlo simulations validate analytical results and reveal that increasing the number of antennas at the source and legitimate users dramatically lowers SOP, whereas a more capable eavesdropper raises the risk of secrecy. Our findings demonstrate that strategic antenna deployment and non-orthogonal access can effectively safeguard communications even through severely scattering environments.
Downloads
References
[1] A. Lozano and A.M. Tulino, "Capacity of Multiple-transmit Multiple-receive Antenna Architectures", IEEE Transactions on Information Theory, vol. 48, pp. 3117-3128, 2002.
View in Google Scholar
DOI: https://doi.org/10.1109/TIT.2002.805084
[2] W. Gao, X. Lu, C. Han, and Z. Chen, "On Multiple-antenna Techniques for Physical-layer Range Security in the Terahertz Band", arXiv, 2022.
View in Google Scholar
[3] D. Chizhik, G.J. Foschini, M.J. Gans, and R.A. Valenzuela, "Keyholes, Correlations, and Capacities of Multielement Transmit and Receive Antennas", IEEE Transactions on Wireless Communications, vol. 1, pp. 361-368, 2002.
View in Google Scholar
DOI: https://doi.org/10.1109/7693.994830
[4] D. Chizhik, G.J. Foschini, and R.A. Valenzuela, "Capacities of Multielement Transmit and Receive Antennas: Correlations and Keyholes", Electronics Letters, vol. 36, pp. 1099-1100, 2000.
View in Google Scholar
DOI: https://doi.org/10.1049/el:20000828
[5] D. Gesbert, H. Bolcskei, D.A. Gore, and A.J. Paulraj, "Outdoor MIMO Wireless Channels: Models and Performance Prediction", IEEE Transactions on Communications, vol. 50, pp. 1926-1934, 2002.
View in Google Scholar
DOI: https://doi.org/10.1109/TCOMM.2002.806555
[6] S. Loyka and A. Kouki, "On MIMO Channel Capacity, Correlations, and Keyholes: Analysis of Degenerate Channels", IEEE Transactions on Communications, vol. 50, pp. 1886-1888, 2002.
View in Google Scholar
DOI: https://doi.org/10.1109/TCOMM.2002.806543
[7] H. Rahbari and M. Krunz, "Secrecy Beyond Encryption: Obfuscating Transmission Signatures in Wireless Communications", IEEE Communications Magazine, vol. 53, pp. 54-60, 2015.
View in Google Scholar
DOI: https://doi.org/10.1109/MCOM.2015.7355566
[8] M. Mitev, A. Chorti, H.V. Poor and G.P. Fettweis, "What Physical Layer Security Can Do for 6G Security", IEEE Open Journal of Vehicular Technology, vol. 4, pp. 375-388, 2023.
View in Google Scholar
DOI: https://doi.org/10.1109/OJVT.2023.3245071
[9] P. Almers, F. Tufvensson, and A.F. Molisch, "Keyhole Effect in MIMO Wireless Channels: Measurements and Theory", IEEE Transactions on Wireless Communications, vol. 5, pp. 359-3604, 2006.
View in Google Scholar
DOI: https://doi.org/10.1109/TWC.2006.256982
[10] H. Zhang et al., "Performance Analysis of MIMO-HARQ Assisted V2V Communications with Keyhole Effect", IEEE Transactions on Communications, vol. 70, pp. 3034-3046, 2022.
View in Google Scholar
DOI: https://doi.org/10.1109/TCOMM.2022.3163779
[11] X. Zang, H. Xu, C. Ouyang, and H. Yang, "PHY Security in MIMOME Keyhole Channels", IEEE International Symposium on Broadband Multimedia Systems and Broadcasting (BMSB), Beijing, China, 2023.
View in Google Scholar
DOI: https://doi.org/10.1109/BMSB58369.2023.10211340
[12] S.Q. Nguyen et al., "Performance Evaluation of Downlink Multiple Users NOMA-able UAV-aided Communication Systems over Nakagami-m Fading Environments", IEEE Access, vol. 9, pp. 151641-151653, 2021.
View in Google Scholar
DOI: https://doi.org/10.1109/ACCESS.2021.3124017
[13] B.V. Minh et al., "Performance Prediction in UAV-terrestrial Networks with Hardware Noise", IEEE Access, vol. 11, pp. 117562-117575, 2023.
View in Google Scholar
DOI: https://doi.org/10.1109/ACCESS.2023.3325478
[14] C.B. Le et al., "Joint Design of Improved Spectrum and Energy Efficiency with Backscatter NOMA for IoT", IEEE Access, vol. 10, pp. 7504-7519, 2021.
View in Google Scholar
DOI: https://doi.org/10.1109/ACCESS.2021.3139118
[15] J. Chen, L. Yang, and M.-S. Alouini, "Physical Layer Security for Cooperative NOMA Systems", IEEE Transactions on Vehicular Technology, vol. 67, pp. 4645-4649, 2018.
View in Google Scholar
DOI: https://doi.org/10.1109/TVT.2017.2789223
[16] M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York, USA: Dover, 1072 p., 1972 (ISBN: 9780486612720).
View in Google Scholar
[17] Y. Cheng et al., "Downlink and Uplink Intelligent Reflecting Surface Aided Networks: NOMA and OMA", IEEE Transactions on Wireless Communications, vol. 20, pp. 3988-4000, 2021.
View in Google Scholar
DOI: https://doi.org/10.1109/TWC.2021.3054841
Downloads
Submitted
Accepted
Published
Issue
Section
License
Copyright (c) 2025 Sang-Quang Nguyen, Chi-Bao Le

This work is licensed under a Creative Commons Attribution 4.0 International License.