With the increase in transmission rate and transmission distance
the impact of nonlinear impairments on the performance of long-haul fiber-optic communication systems becomes increasingly significant
severely restricting overall system performance. In order to mitigate integrated effects of nonlinear impairment for the long-haul fiber-optic communication system
a dual-branch hybrid neural network-based nonlinear impairment compensation method for the long-haul optical communication system is proposed. Firstly
the channel memory is leveraged by the model to capture the global feature of channel impairments in the time domain
so as to optimize feature learning of current symbols through historical information; Secondly
the spatial features of symbols in the constellation diagram are captured by the real-valued branch based on convolutional neural networks
and the channel attention mechanism and the spatial attention mechanism are adopted to enhance the learning capability of the model for nonlinear impairment-related spatial features; Finally
the latent information of phase and amplitude variations of complex symbols is captured by the complex-valued branch
thereby the combined effects of nonlinear impairments are effectively compensated. Numerical simulation is established with self-phase modulation and cross-phase modulation as the primary nonlinear effects
simulation results demonstrate that the proposed method achieves a lower bit error rate and exhibits stability under varying conditions of transmitted optical power
Tai Jin , Liu Chenyi , Yang Yuan , et al . Low-cost traffic engineering for large-scale live streaming [J ] . Journal of Tsinghua University(Science and Technology) , 2024 , 64 ( 3 ): 591 — 600 .
Bian Lingyan , Zeng Yanping , Cai Ying , et al . Opportunities and challenges of optoelectronic co-packaging technology in the era of big data [J ] . Laser & Optoelectronics Progress , 2024 , 61 ( 9 ): 65 — 76 .
Kaur P , Dhawan D , Gupta N . Design and analysis of a soliton-based WDM system for performance enhancement of long-haul communication [J ] . Optoelectronics and Advanced Materials-Rapid Communications , 2024 ,18 ( 3 / 4 ): 144 — 149 .
Cui J , Kong W , Liu Z , et al . Dynamic secure key distribution based on dispersion equalization and cellular automata for optical transmission [J ] . Photonics , 2023 , 10 ( 12 ): 1308 — 1317 .
Shi Weihua , Cai Mengya , Lou Yue , et al . Novel broadband low-loss single-mode hollow-core anti-resonant fiber [J ] . Laser & Optoelectronics Progress , 2025 , 62 ( 7 ): 0706004.1 — 0706004.8 .
Chi X , Bai C , Yang F , et al . Joint intra and inter-channel nonlinear compensation scheme based on improved learned digital back propagation for WDM systems [J ] . Optics Express , 2024 , 32 ( 4 ): 22 — 32 .
Huang J , Yi A , Yan , et al . Fast fiber nonlinearity compensation method for PDM coherent optical transmission systems based on the Fourier neural operator [J ] . Optics Express , 2024 , 32 ( 2 ): 2245 — 2256 .
Chen Zhijiang , Liu Fengqing . Transmission performance analysis of 112Gb/s DP-16QAM signal using OBP combined with DBP compensation [J ] . Optical Communication Technology , 2017 , 41 ( 4 ): 16 — 19 .
Hadjadji N , Hamdi R . Nonlinearity mitigation of self-phase modulation effect in coherent optical system [J ] . Journal of Optical Communications , 2024 , 45 ( 4 ): 853 — 862 .
Nguyen T , Mhatli S , Giacoumidis E , et al . Fiber nonlinearity equalizer based on support vector classification for coherent optical ofdm [J ] . IEEE Photonics Journal , 2017 , 8 ( 2 ): 1 — 9 .
Torkaman P , Latifi S M , Feng K M , et al . Nonlinearity-robust im/dd thz communication system via two-stage deep learning equalizer [J ] . IEEE Communications Letters: A publication of the IEEE Communications Society , 2024 , 28 ( 8 ): 1805 — 1809 .
Wang Y , Guo Q , Liu X Y . Doubly selective channel estimation and equalization based on ICI/ISI mitigation for OQAM-FBMC systems [J ] . Physical Communication , 2023 , 59 ( 8 ): 102120.1 — 102120.10 .
Bakhshali A , Najafi H , Hamgini B Z Z . Neural network architectures for optical channel nonlinear compensation in digital subcarrier multiplexing systems [J ] . Optics Express , 2023 , 31 ( 16 ): 26418 — 26434 .
Sidelnikov O , Redyuk A , Sygletos S , et al . Advanced convolutional neural networks for nonlinearity mitigation in long-haul wdm transmission systems [J ] . Journal of Lightwave Technology , 2021 , 39 ( 8 ): 2397 — 2406 .
Xu Z , Sun C , Ji T , et al . Cascade recurrent neural network-assisted nonlinear equalization for a 100Gb/s PAM4 short-reach direct detection system [J ] . Optics Letters , 2020 , 45 ( 15 ): 4216 — 4219 .
Deligiannidis S , Mesaritakis C , Bogris A . Performance and complexity analysis of bi-directional recurrent neural network models vs [J ] . Volterra Nonlinear Equalizers in Digital Coherent Systems , 2021 , 39 ( 18 ): 5791 — 5798 .
Sidelnikov Oleg , Redyuk Alexey , Sygletos Stylianos . Equalization performance and complexity analysis of dynamic deep neural networks in long haul transmission systems [J ] . Optics Express , 2018 , 26 ( 25 ): 32765 — 32776 .
Bogdanov S A , Sidelnikov O S . Use of complex fully connected neural networks to compensate for nonlinear effects in fibre-optic communication lines [J ] . Quantum Electronics , 2021 , 51 ( 5 ): 459 — 462 .
Freire P J , Neskorniuk V , Napoli A , et al . Complex-valued neural network design for mitigation of signal distortions in optical links [J ] . Journal of Lightwave Technology , 2020 , 39 ( 6 ): 1696 — 1705 .
Pan J T , Zhu B H , Ma L L , et al . Nonlinear geometric phase coded ferroelectric nematic fluids for nonlinear soft-matter photonics [J ] . Nature Communications , 2024 , 15 ( 1 ): 8732 — 8743 .
Xu H , Jin Y . The asymptotic expansion for a class of non-linear singularly perturbed problems with optimal control [J ] . Journal of Nonlinear Sciences & Applications (JNSA) , 2016 , 4 ( 9 ): 2718 — 2726 .
Lin X , Luo S , Soman S K O , et al . Perturbation theory-aided learned digital back-propagation scheme for optical fiber nonlinearity compensation [J ] . Lightwave Technology , IEEE/OSA Journal of (J-LT), 2022 , 40 ( 7 ): 1981 — 1988 .