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Document Type

Original Article

Abstract

This paper presents an in-depth investigation into applying a frequency domain Volterra series nonlinear equalizer (FD-VNLE) to mitigate nonlinear impairments in optical communication systems operating at high speeds. The study aims to address the issues presented by nonlinear effects, specifically self-phase modulation (SPM), which significantly degrades system performance at higher power levels. A comprehensive mathematical model of the FD-VNLE was developed to provide theoretical insight, while its implementation was carried out using MATLAB co-simulated with OptiSystem. The performance of the 40 Gbps dual-polarization quadrature phase shift keying (DP-QPSK) system was rigorously evaluated, focusing on critical performance metrics like bit error rate (BER) and quality factor (Q-factor). Simulation results indicated that without nonlinear compensation, the system experienced performance degradation beyond an input power of 12 dBm, where the optimum BER was 10 -77 and the Q-factor was 18. However, deploying FD-VNLE and applying digital signal processing (DSP) successfully reduced the BER to 10 -300 and improved the Q-factor to 100, maintaining consistent performance up to an input power of 17 dBm. The DSP further diminished residual phase noise and significantly improved the reliability of the system. These findings highlight the promise of FD-VNLE as a powerful tool for enhancing the efficiency and scalability of next-generation high-speed, long-distance optical networks

Receive Date

31/01/2025

Revise Date

04/05/2025

Accept Date

18/05/2025

Publication Date

6-1-2025

References

[1] He Z, Mirani A, Karlsson M, Schroder J. Perturbation-based € joint SPM and XPM compensation for superchannel system. IEEE Photonics Technol Lett 2024 Dec 1;36(23):1349e52. https://doi.org/10.1109/LPT.2024.3474479 [Internet].

[2] Ali RS, Fattah AY, Hassib MD. The effects of optical fiber impairments on communication systems. Indones J Electr Eng Comput Sci 2022 Oct 1;28(1):241. https://doi.org/10.1109/ COMST.2017.2719958 [Internet].

[3] Bakhshali A, Chan WY, Cartledge JC, O'Sullivan M, Laperle C, Borowiec A, et al. Frequency-domain Volterrabased equalization structures for efficient mitigation of intrachannel kerr nonlinearities. J Lightwave Technol 2016 Apr 15;34(8):1770e7. https://doi.org/10.1109/JLT.2015.2510607 [Internet].

[4] Peddanarappagari KV, M€aõte Brandt-Pearce M. Volterra series transfer function of single-mode fibers. J Lightwave Technol 1997;15:2232. https://doi.org/10.1109/50.643545 [Internet].

[5] Gao C, Xi L, Li D, Ge P, Zhang W. A neural networks nonlinear equalizer based on Volterra series tranfer function. In: 2023 21st International Conference on Optical Communications and Networks (ICOCN). IEEE; 2023. p. 1e3. https:// doi.org/10.1109/ICOCN59242.2023.10236108 [Internet].

[6] Mhatli S, Mrabet H, Amari A. Extensive simulation of fibre non-linearity mitigation in a CO-OFDM-WDM long-haul communication system. IET Optoelectron 2018 Oct 21;12(5): 258e62. https://doi.org/10.1049/iet-opt.2018.5041 [Internet].

[7] Fang X, Fu Y, Wu Q, Zhang L, Zhang F. Volterra expansion based intra channel nonlinear effect equalization method for optical OFDM/OQAM systems. IEEE Access 2020;8: 205657e68. https://doi.org/10.1109/ACCESS.2020.3036861 [Internet].

[8] Castro N, Boscolo S, Ellis AD, Sygletos S. Learned Volterra models for nonlinearity equalization in wavelength-division multiplexed systems. Opt Express 2025 Apr 21;33(8):16717 [Internet], https://opg.optica.org/abstract.cfm?URI¼oe-33-8- 16717.

[9] Kasmi M, Mhatli S, Bahloul F, Dayoub I, Oh K. Performance analysis of UFMC waveform in graded index fiber for 5G communications and beyond. Opt Commun 2020 Jan 1;454:124360. https://doi.org/10.1016/j.optcom.2019.124360 [Internet].

[10] Amari A, Dobre OA, Venkatesan R, Kumar OSS, Ciblat P, Jaouen Y. A survey on fiber nonlinearity compensation for 400 Gb/s and beyond optical communication systems. IEEE Commun Surv Tutorials 2017;19(4):3097e113. https:// doi.org/10.1109/COMST.2017.2719958 [Internet].

[11] Fang X, Xu Y, Zuo S, Zhou H, Li L. A novel sparse Volterra model based fiber nonlinear equalization method for polarization-division-multiplexed CO-OFDM systems. Opt Fiber Technol 2024 Dec 1;88:103889. https://doi.org/10.1016/ j.yofte.2024.103889 [Internet].

[12] Amari A. Nonlinear effects compensation for long-haul superchannel transmission system. Doctoral dissertation (Ph. D), Tel ecom ParisTech. 2016 [Internet]. Available from: https://pastel.hal.science/tel-01668545.

[13] Cheng CM, Peng ZK, Zhang WM, Meng G. Volterra-seriesbased nonlinear system modeling and its engineering applications: A state-of-the-art review. Mech Syst Signal Process 2017 Mar 15;87:340e64. https://doi.org/10.1016/j.ymssp. 2016.10.029 [Internet].

[14] Bakhshali A. Nonlinearity compensation for next generation coherent optical fiber communication systems Doctoral dissertation (Ph. D). Queen’s University (Canada); 2017 (September). Available from: https://qspace.library.queensu. ca/bitstream/handle/1974/22822/Bakhshali_Ali_201709_PhD. pdf.

[15] Guiomar FP, Pinto AN. J Lightwave Technol 2013 Dec 1; 31(23):3879e91. https://doi.org/10.1109/JLT.2013.2288781 [Internet].

[16] Guiomar FP, Reis JD, Teixeira AL. Pinto AN. digital postcompensation using Volterra series transfer function. IEEE Photonics Technol Lett 2011 Oct;23(19):1412e4. https:// doi.org/10.1109/LPT.2011.2162229 [Internet].

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