Skip to main content
Log in

Nonlinearity mitigation with a perturbation based neural network receiver

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

We propose a less complex neural network that estimates and equalizes the nonlinear distortion of single frequency dual polarization data transmitted through a single mode optical fiber. We then analyze the influence of the size of the input data symbol window on the neural network design and the enhancement of the quality factor (Q-factor) that can be achieved by integrating the neural network with a perturbative nonlinearity compensation model. We significantly reduce the complexity of the neural network by determining the most significant inputs for the neural network from the self-phase modulation terms (intra-cross phase modulation and intra-four wave mixing) in the model. The weight matrices of the neural network are determined without prior knowledge of the system parameters while the complexity of the network is reduced in two stages through weight trimming technique and principle component analysis (PCA). Applying our procedure to a 3200 km double polarization 16-QAM optical system yields a ≈ 0.85 dB Q-factor enhancement with a 35% smaller number of inputs compared to previous designs.

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

Similar content being viewed by others

References

  • Agrawal, G.P.: Nonlinear Fiber Optics. Elsevier, Amsterdam (2006)

    MATH  Google Scholar 

  • Averyanov, E., Redyuk, A., Sidelnikov, O., Soroklna, M., Fedoruk, M., Turitsyn, S.: Perturbative machine learning technique for nonlinear impairments compensation in WDM systems. In: 2018 European Conference on Optical Communication (ECOC) (2018)

  • Cartledge, J.C., Guiomar, F.P., Kschischang, F.R., Liga, G., Yankov, M.P.: Digital signal processing for fiber nonlinearities [Invited]. Opt. Express 25, 1916–1936 (2017)

    ADS  Google Scholar 

  • Gao, Y., Cartledge, J.C., Downie, J.D., Hurley, J.E., Pikula, D., Yam, S.S.-H.: Nonlinearity compensation of 224 Gb/s dual-polarization 16-QAM transmission over 2700 km. IEEE Photon. Technol. Lett. 25, 14–17 (2013)

    ADS  Google Scholar 

  • Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. The MIT Press, Cambridge (2017)

    MATH  Google Scholar 

  • Häger, C., Pfister, H.D.: Nonlinear interference mitigation via deep neural networks. In: Optical fiber communication conference (2018)

  • Ip, E., Kahn, J.M.: Compensation of dispersion and nonlinear impairments using digital backpropagation. J. Lightwave Technol. 26, 3416–3425 (2008)

    ADS  Google Scholar 

  • Kamalov, V., Jovanovski, L., Vusirikala, V., Zhang, S., Yaman, F., Nakamura, K., Inoue, T., Mateo, E., Inada, Y.: Evolution from 8QAM live traffic to PS 64-QAM with neural-network based nonlinearity compensation on 11000 km open subsea cable. In: Optical Fiber Communication Conference Postdeadline Papers (2018)

  • Kingma, D., Ba, J.: Adam: a method for stochastic optimization. In: International Conference on Learning Representations (2014)

  • Liga, G., Xu, T., Alvarado, A., Killey, R.I., Bayvel, P.: On the performance of multichannel digital backpropagation in high-capacity long-haul optical transmission. Opt. Express 22, 30053–30062 (2014)

    ADS  Google Scholar 

  • Liodakis, G., Arvanitis, D., Vardiambasis, I.: Neural network-based digital receiver for radio communications. WSEAS Trans. Syst. 3(10), 3308–3313 (2004)

    Google Scholar 

  • Mata, J., Miguel, I.D., Durán, R.J., Merayo, N., Singh, S.K., Jukan, A., Chamania, M.: Artificial intelligence (AI) methods in optical networks: a comprehensive survey. Opt. Switch. Network. 28, 43–57 (2018)

    Google Scholar 

  • Schmidhuber, J.: Deep learning in neural networks: an overview. Neural Netw. 61, 85–117 (2015)

    Google Scholar 

  • Sidelnikov, O., Redyuk, A., Sygletos, S.: Equalization performance and complexity analysis of dynamic deep neural networks in long haul transmission systems. Opt. Express 26, 32765 (2018)

    ADS  Google Scholar 

  • Silva, E.P.D., Yankov, M.P., Ros, F.D., Morioka, T., Oxenlowe, L.K.: Perturbation-based FEC-assisted Iterative nonlinearity compensation for WDM systems. J. Lightwave Technol. 37, 875–881 (2019)

    ADS  Google Scholar 

  • Stegun, I.A., Abramowitz, M.: Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. US Government printing office, Washington (1972)

    MATH  Google Scholar 

  • Tao, Z., Dou, L., Yan, W., Li, L., Hoshida, T., Rasmussen, J.C.: Multiplier-free intrachannel nonlinearity compensating algorithm operating at symbol rate. J. Lightwave Technol. 29, 2570–2576 (2011)

    ADS  Google Scholar 

  • Wang, D., Zhang, M., Fu, M., Cai, Z., Li, Z., Han, H., Cui, Y., Luo, B.: Nonlinearity mitigation using a machine learning detector based on k-nearest neighbors. IEEE Photon. Technol. Lett. 28, 2102–2105 (2016)

    ADS  Google Scholar 

  • Zhang, S., Yaman, F., Nakamura, K., Inoue, T., Kamalov, V., Jovanovski, L., Vusirikala, V., Mateo, E., Inada, Y., Wang, T.: Field and lab experimental demonstration of nonlinear impairment compensation using neural networks. Nat. Commun. 10, 3033 (2019)

    ADS  Google Scholar 

Download references

Acknowledgements

The Natural Sciences and Engineering Research Council of Canada (NSERC) are acknowledged for financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marina M. Melek.

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

Melek, M.M., Yevick, D. Nonlinearity mitigation with a perturbation based neural network receiver. Opt Quant Electron 52, 450 (2020). https://doi.org/10.1007/s11082-020-02565-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-020-02565-5

Keywords

Navigation