SpringerLink
Log in

Secrecy Capacity Analysis Using Nonlinear Transmissions for Physical Layer Security

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, physical layer security is investigated, which is characterized by utilizing the physical layer characteristics to achieve secure transmissions without adopting encryption or decryption. In order to acquire the secrecy capacity, we propose to employ the nonlinear transmission, where the operating point of the power amplifier is set to be relatively high, so that the transmitted signal displays obvious nonlinear property. At the receiver side, the legitimate user can carry out the nonlinear reception scheme utilizing the predesigned training information, which is unavailable for the wiretap channel. Consequently, the eavesdropper could hardly decode the messages correctly from the received nonlinearly distorted signal, leading to an effective enhancement of secrecy capacity. To validate the secrecy performance of this approach, nonlinearity cancellation algorithm is employed at the confidential receiver, while OFDM and single carrier systems are exploited in the simulations. Numerical results show that the proposed nonlinear transmission method has the capability in achieving the secrecy capacity for physical layer security.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data Availability

The datasets generated and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Solaija, M. S. J., Salman, H., & Arslan, H. (2022). Towards a unified framework for physical layer security in 5G and beyond networks. IEEE Open Journal of Vehicular Technology, 3, 321–343. https://doi.org/10.1109/OJVT.2022.3183218

    Article  Google Scholar 

  2. Illi, E., et al. (2023). Physical layer security for authentication, confidentiality, and malicious node detection: A paradigm shift in securing IoT networks. IEEE Communications Surveys & Tutorials, 26(1), 347–388. https://doi.org/10.1109/COMST.2023.3327327

    Article  Google Scholar 

  3. Jiang, X., Li, P., Zou, Y., Li, B., & Wang, R. (2022). Physical layer security for cognitive multiuser networks with hardware impairments and channel estimation errors. IEEE Transactions on Communications, 70(9), 6164–6180. https://doi.org/10.1109/TCOMM.2022.3194981

    Article  Google Scholar 

  4. Yerrapragada, A. K., Eisman, T., & Kelley, B. (2021). Physical layer security for beyond 5G: Ultra secure low latency communications. IEEE Open Journal of the Communications Society, 2, 2232–2242. https://doi.org/10.1109/OJCOMS.2021.3105185

    Article  Google Scholar 

  5. Soderi, S., & De Nicola, R. (2022). 6G networks physical layer security using RGB visible light communications. IEEE Access, 10, 5482–5496. https://doi.org/10.1109/ACCESS.2021.3139456

    Article  Google Scholar 

  6. Zheng, T.-X., et al. (2022). Physical-layer security of uplink mmWave transmissions in cellular V2X networks. IEEE Transactions on Wireless Communications, 21(11), 9818–9833. https://doi.org/10.1109/TWC.2022.3179706

    Article  Google Scholar 

  7. Liang, Y., Poor, H. V., & Shamai, S. (2009). Information theoretic security. Foundations and Trends® Communications and Information Theory, 5(4–5), 355–580.

    Article  Google Scholar 

  8. Wang, D., Bai, B., Zhao, W., & Han, Z. (2019). A survey of optimization approaches for wireless physical layer security. IEEE Communications Surveys & Tutorials, 21(2), 1878–1911. https://doi.org/10.1109/COMST.2018.2883144

    Article  Google Scholar 

  9. Zhang, W., Chen, J., Kuo, Y., & Zhou, Y. (2019). Artificial-noise-aided optimal beamforming in layered physical layer security. IEEE Communications Letters, 23(1), 72–75. https://doi.org/10.1109/LCOMM.2018.2881182

    Article  Google Scholar 

  10. Arfaoui, M. A., Soltani, M. D., Tavakkolnia, I., Ghrayeb, A., Safari, M., Assi, C. M., & Haas, H. (2020). Physical layer security for visible light communication systems: a survey. IEEE Communications Surveys & Tutorials, 22(3), 1887–908. https://doi.org/10.1109/COMST.2020.2988615

    Article  Google Scholar 

  11. Jung, H., & Lee, I. H. (2021). Distributed null-steering beamformer design for physical layer security enhancement in Internet-of-Things networks. IEEE Systems Journal, 15(1), 277–288. https://doi.org/10.1109/JSYST.2020.2967404

    Article  Google Scholar 

  12. Schraml, M. G., Schwarz, R. T., & Knopp, A. (2021). Multiuser MIMO concept for physical layer security in multibeam satellite systems. IEEE Transactions on Information Forensics and Security, 16(1), 1670–1680. https://doi.org/10.1109/TIFS.2020.3040884

    Article  Google Scholar 

  13. Gong, C., Yue, X., Zhang, Z., Wang, X., & Dai, X. (2021). Enhancing physical layer security with artificial noise in large-scale NOMA networks. IEEE Transactions on Vehicular Technology, 70(3), 2349–61. https://doi.org/10.1109/TVT.2021.3057661

    Article  Google Scholar 

  14. Li, C., Liu, Y., Xu, Q., & Tang, Y. (2019). Self-interference cancellation with frequency offset and nonlinear distortion suppression for cooperative jamming communications. IEEE Communications Letters, 23(11), 2091–2094. https://doi.org/10.1109/LCOMM.2019.2936845

    Article  Google Scholar 

  15. C. Li, W. Guo, X. Quan, Q. Xu, Y. Liu, Y. Shen, H. Zhao, and Y. Tang, "Nonlinear distortion suppression of cooperative jamming system for secure wireless communication," in 2019 IEEE MTT-S International Microwave Symposium (IMS), pp. 952–55, 2019, 978–1–7281–1309–8/19.

  16. C. Li, X. **a, C. Shi, L. Du, J. Ma, Y. Liu, and Y. Tang, "Cooperative jamming cancellation under nonlinearity and imperfect time-frequency alignments for physical-layer security," in 2021 IEEE International Conference on Communications Workshops (ICC Workshops), 2021, 978–1–7281–9441–7/21.

  17. Lee, K., Hong, J. P., Choi, H. H., & Quek, T. Q. S. (2019). Wireless-powered two-way relaying protocols for optimizing physical layer security. IEEE Transactions on Information Forensics and Security, 14(1), 162–174. https://doi.org/10.1109/TIFS.2018.2847452

    Article  Google Scholar 

  18. Zhang, G., Xu, J., Wu, Q., Cui, M., Li, X., & Lin, F. (2018). Wireless powered cooperative jamming for secure OFDM system. IEEE Transactions on Vehicular Technology, 67(2), 1331–1346. https://doi.org/10.1109/TVT.2017.2756877

    Article  Google Scholar 

  19. Belkacem, B. H., Ammari, O., & Bouallegue, M. L. (2017). Effect of power amplifier nonlinearity on the physical layer security of MIMO systems. Wireless Personal Communications, 96(10), 5587–5601. https://doi.org/10.1007/s11277-017-4429-3

    Article  Google Scholar 

  20. Saeed, M., Moradikia, M., & Yeoh, P. (2020). Secure mm-Wave communications with imperfect hardware and uncertain eavesdropper location. Trans Emerg Telecommun Technol., 31(10), e4016. https://doi.org/10.1002/ett.4016

    Article  Google Scholar 

  21. Güvenkaya, E., Hamamreh, J. M., & Arslan, H. (2017). On physical-layer concepts and metrics in secure signal transmission. Physical Communication, 25, 14–25. https://doi.org/10.1016/j.phycom.2017.08.011

    Article  Google Scholar 

  22. Tellado, J., Hoo, L. M. C., & Cioffi, J. M. (2003). Maximum-likelihood detection of nonlinearly distorted multicarrier symbols by iterative decoding. IEEE Transactions on Communications, 51(2), 218–228. https://doi.org/10.1109/TCOMM.2003.809289

    Article  Google Scholar 

  23. Alina, Z., & Amrani, O. (2016). On digital post-distortion techniques. IEEE Transactions on Signal Processing, 64(3), 603–614. https://doi.org/10.1109/TSP.2015.2477806

    Article  MathSciNet  Google Scholar 

  24. Csiszar, I., & Korner, J. (1978). Broadcast channels with confidential messages. IEEE Transactions on Information Theory, 24(3), 339–348. https://doi.org/10.1109/TIT.1978.1055892

    Article  MathSciNet  Google Scholar 

  25. Guo, Y., & Zhang, L. (2020). Secure full duplex OFDM wireless communication based on phase relay between the legitimate nodes. IET Communications, 14(8), 1293–1300. https://doi.org/10.1049/iet-com.2019.0916

    Article  Google Scholar 

Download references

Funding

The work was supported in part by the Natural Science Foundation of China under Grant 61941105, and in part by the Natural Science Foundation of Shaanxi Province under Grant 2019JM-532, and in part by China Postdoctoral Science Foundation under Grant 2017M623129, and also in part by Science and Technology on Underwater Information and Control Laboratory. (Corresponding author: Jieling Wang).

Author information

Authors and Affiliations

  1. State Key Laboratory of Integrated Services Network, Telecommunication Engineering Department, and Collaborative Innovation Center of Information Sensing and Understanding, **dian University, **’an, 710071, Shannxi, China

    Jieling Wang, Zhiqian Wang & Ba-Zhong Shen

  2. Engineering and Physical Science Department, Heriot-Watt University, Edinburgh, EH14 4AS, UK

    Mathini Sellathurai

  3. China Academy of Space Technology, Bei**g, 100072, China

    Yejun Zhou

Authors
  1. Jieling Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhiqian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mathini Sellathurai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ba-Zhong Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yejun Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jieling Wang.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, J., Wang, Z., Sellathurai, M. et al. Secrecy Capacity Analysis Using Nonlinear Transmissions for Physical Layer Security. Wireless Pers Commun 136, 883–897 (2024). https://doi.org/10.1007/s11277-024-11294-x

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-024-11294-x

Keywords

Search

Navigation