Skip to main content
Log in

Bidirectional digital image secure transmission and recognition based on a long-distance chaos synchronization system with machine learning capability

  • Original paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Based on chaos synchronization of two response lasers (RLs) injected by the common chaos signals from a driving laser (DL) with double optical feedback (DOF) and an additional neural network (NN), a bidirectional chaotic secure communication system with machine learning capability is proposed and the long-distance digital image transmission and recognition performances are numerically investigated. The simulated results show that the time delay signature (TDS) of the driving chaotic signals from DL with DOF is greatly weakened under suitable operation conditions. Two RLs can generate chaos signals with low TDS and broad bandwidth, and the high-quality chaos synchronization between two RLs can be achieved while the synchronization quality between DL and any one of RLs is extremely bad, which is helpful to realize the secure communication. Using the synchronized chaos output signals from two RLs as chaos carriers and chaos masking (CM) encoding method, the bidirectional 10 Gb/s secure communication over 140 km fiber channel can be realized and the effects of the fiber parameters on the communication performances are discussed. After adopting an additional NN, a long-distance digital image transmission and recognition based on this proposed secure communication system can be realized and the communication distance can be extended to 220 km.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Pecora, L.M., Carroll, T.L.: Synchronization of chaotic systems. Phys. Rev. Lett. 25(9), 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  2. Liao, Y., Lin, F.: Dynamical characteristics and their applications of semiconductor lasers subject to both optical injection and optical feedback. Opt Express 21(20), 23568–23578 (2013)

    Article  Google Scholar 

  3. Ermakov, I.V., Kingni, S.T., Tronciu, V.Z., Danckaert, J.: Chaotic semiconductor ring lasers subject to optical feedback: applications to chaos-based communications. Opt. Commun. 286, 265–272 (2013)

    Article  Google Scholar 

  4. Jayaprasath, E., Hou, Y., Wu, Z., Xia, G.: Anticipation in the polarization chaos synchronization of uni-directionally coupled vertical-cavity surface-emitting lasers with polarization-preserved optical injection. IEEE Access 6, 58482–58490 (2018)

    Article  Google Scholar 

  5. Argyris, A., Syvridis, D., Larger, L., Annovazzi-Lodi, V., Colet, P., Fischer, I., Garcia-Ojalvo, J., Mirasso, C.R., Pesquera, L., Shore, K.A.: Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 438(7066), 343–346 (2005)

    Article  Google Scholar 

  6. Argyris, A., Grivas, E., Hamacher, M., Bogris, A., Syvridis, D.: Chaos-on-a-chip secures data transmission in optical fiber links. Opt. Express 18(5), 5188–5198 (2010)

    Article  Google Scholar 

  7. Wu, J., Wu, Z., Tang, X., Fan, L., Deng, W., Xia, G.: Experimental demonstration of LD-based bidirectional fiber-optic chaos communication. IEEE Photon. Technol. Lett. 25(6), 587–590 (2013)

    Article  Google Scholar 

  8. Wu, J., Wu, Z., Xia, G., Deng, T., Lin, X., Tang, X., Feng, G.: Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links. IEEE Photon. Technol. Lett. 23(24), 1854–1856 (2011)

    Article  Google Scholar 

  9. Wang, L., Guo, Y., Wang, D., Wang, Y., Wang, A.: Experiment on 10-Gb/s message transmission using an all-optical chaotic secure communication system. Opt. Commun. 453, 124350 (2019)

    Article  Google Scholar 

  10. Ke, J., Yi, L., Xia, G., Hu, W.: Chaotic optical communications over 100-km fiber transmission at 30-Gb/s bit rate. Opt. Lett. 43(6), 1323–1326 (2018)

    Article  Google Scholar 

  11. Jiang, N., Xue, C., Lv, Y., Qiu, K.: Physically enhanced secure wavelength division multiplexing chaos communication using multimode semiconductor lasers. Nonlinear Dyn. 86(3), 1937–1949 (2016)

    Article  Google Scholar 

  12. Hou, T.T., Yi, L.L., Yang, X., Ke, J., Hu, Y., Yang, Q., Zhou, P., Hu, W.S.: Maximizing the security of chaotic optical communications. Opt. Express 24(20), 23439–23449 (2016)

    Article  Google Scholar 

  13. Li, N., Nguimdo, R.M., Locquet, A., Citrin, D.S.: Enhancing optical-feedback-induced chaotic dynamics in semiconductor ring lasers via optical injection. Nonlinear Dyn. 92(2), 315–324 (2018)

    Article  Google Scholar 

  14. Zhou, D., Lu, D., Liang, S., Zhao, L., Wang, W.: Transmission of 20 Gb/s PAM-4 signal over 20 km optical fiber using a directly modulated tunable DBR laser. Chin. Opt. Lett. 16(9), 091401 (2018)

    Article  Google Scholar 

  15. Zhao, A., Jiang, N., Liu, S., Xue, C., Tang, J., Qiu, K.: Wideband complex-enhanced chaos generation using a semiconductor laser subject to delay-interfered self-phase-modulated feedback. Opt. Express 27(9), 12336–12348 (2019)

    Article  Google Scholar 

  16. Hong, Y., Spencer, P.S., Shore, K.A.: Wideband chaos with time-delay concealment in vertical-cavity surface-emitting lasers with optical feedback and injection. IEEE J. Quantum Electron. 50(4), 236–242 (2014)

    Article  Google Scholar 

  17. Mu, P., Pan, W., Yan, L., Luo, B., Li, N., Xu, M.F.: Experimental evidence of time-delay concealment in a DFB Laser with dual-chaotic optical injections. IEEE Photon. Technol. Lett. 28(2), 131–134 (2016)

    Article  Google Scholar 

  18. Wu, J., Xia, G., Wu, Z.: Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback. Opt. Express 17(22), 20124–20133 (2009)

    Article  Google Scholar 

  19. Xiang, S., Pan, W., Zhang, L., Wen, A., Shang, L., Zhang, H., Lin, L.: Phase-modulated dual-path feedback for time delay signature suppression from intensity and phase chaos in semiconductor laser. Opt. Commun. 324, 38–46 (2014)

    Article  Google Scholar 

  20. Mu, P., He, P., Li, N.: Simultaneous chaos time-delay signature cancellation and bandwidth enhancement in cascade-coupled semiconductor ring lasers. IEEE Access 7, 11041–11048 (2019)

    Article  Google Scholar 

  21. Jiang, N., Wang, Y., Zhao, A., Liu, S., Zhang, Y., Chen, L., Li, B., Qiu, K.: Simultaneous bandwidth-enhanced and time delay signature-suppressed chaos generation in semiconductor laser subject to feedback from parallel coupling ring resonators. Opt. Express 28(2), 1999–2009 (2020)

    Article  Google Scholar 

  22. Ke, J., Yi, L., Hu, W.: Chaos synchronization error compensation by neural network. IEEE Photon. Technol. Lett. 31(13), 1104–1107 (2019)

    Article  Google Scholar 

  23. Ortin, S., Pesquera, L., Gutierrez, J.M., Valle, A., Cofino, A.: Nonlinear dynamics reconstruction with neural networks of chaotic time-delay communication systems. AIP Conf. Proc. 887, 249–256 (2007)

    Article  Google Scholar 

  24. Yi, L., Liao, T., Huang, L., Xue, L., Li, P., Hu, W.: Machine learning for 100 Gb/s/λ passive optical network. J. Lightwave Technol. 37(6), 1621–1630 (2019)

    Article  Google Scholar 

  25. Zibar, D., Piels, M., Jones, R., Schaeffer, C.G.: Machine learning techniques in optical communication. J. Lightwave Technol. 34(6), 1442–1452 (2016)

    Article  Google Scholar 

  26. Musumeci, F., Rottondi, C., Nag, A., Macaluso, I., Zibar, D., Ruffini, M., Tornatore, M.: An overview on application of machine learning techniques in optical networks. IEEE Commun. Surv. Tutor. 21(2), 1383–1408 (2019)

    Article  Google Scholar 

  27. Yu, J., Mo, W., Huang, Y., Ip, E., Kilper, D.C.: Model transfer of QoT prediction in optical networks based on artificial neural networks. J. Opt. Commun. Netw. 11(10), C48–C57 (2019)

    Article  Google Scholar 

  28. Peterson, L.E.: K-nearest neighbor. Scholarpedia 4(2), 1883 (2009)

    Article  Google Scholar 

  29. Scott, M.: Logistic regression. Am. Stat. 58(4), 364 (2004)

    Article  Google Scholar 

  30. Wu, J., Wu, Z., Liu, Y., Fan, L., Tang, X., Xia, G.: Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system. J. Lightwave Technol. 31(3), 461–467 (2013)

    Article  Google Scholar 

  31. Diederik, P., Jimmy, L.: Adam: a method for stochastic optimization. arXiv:1412.6980 [cs.LG] (2014)

  32. Krueger, D., Ballas, N., Jastrzebski, S., Arpit, D., Courville, A.: Deep nets don't learn via memorization. In: International Conference of Learning Representations (2017)

  33. Lin, F., Chao, Y., Wu, T.: Effective bandwidths of broadband chaotic signals. IEEE J. Quantum Electron. 48(8), 1010–1014 (2012)

    Article  Google Scholar 

  34. Bogris, A., Kanakidis, D., Argyris, A., Syvridis, D.: Performance characterization of a closed-loop chaotic communication system including fiber transmission in dispersion shifted fibers. IEEE J. Quantum Electron. 40(9), 1326–1336 (2004)

    Article  Google Scholar 

  35. Jiang, Y., Ge, S., Liu, G., Tang, X.: Research on implementation of adaptive noise cancellation system based on neural network. Multimed. Tools Appl. (2019). https://doi.org/10.1007/s11042-019-7437-3

    Article  Google Scholar 

  36. Vicente, R., Mirasso, C.R., Fischer, I.: Simultaneous bidirectional message transmission in a chaos-based communication scheme. Opt. Lett. 32(4), 403–405 (2007)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grants 61775184 and 61875167, in part by the Natural Science Foundation of Chongqing City under Grant 2019jcyj-msxm X0136, and in part by the Fundamental Research Funds for the Central Universities of China under Grant XDJK2020B053.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tao Deng.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, N., Wu, Z., Lin, X. et al. Bidirectional digital image secure transmission and recognition based on a long-distance chaos synchronization system with machine learning capability. Nonlinear Dyn 104, 2745–2758 (2021). https://doi.org/10.1007/s11071-021-06391-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-021-06391-6

Keywords

Navigation