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In optical fiber communication, system identification (SI) for the nonlinear Schr\"odinger equation (NLSE) has long been studied mainly for fiber nonlinearity compensation (NLC). One recent line of inquiry to combine a behavioral-model…

Signal Processing · Electrical Eng. & Systems 2021-04-14 Takeo Sasai , Masanori Nakamura , Etsushi Yamazaki , Shuto Yamamoto , Hideki Nishizawa , Yoshiaki Kisaka

Efficient nonlinearity compensation in fiber-optic communication systems is considered a key element to go beyond the "capacity crunch''. One guiding principle for previous work on the design of practical nonlinearity compensation schemes…

An important problem in fiber-optic communications is to invert the nonlinear Schr\"odinger equation in real time to reverse the deterministic effects of the channel. Interestingly, the popular split-step Fourier method (SSFM) leads to a…

Information Theory · Computer Science 2018-04-10 Christian Häger , Henry D. Pfister

Derived from the regular perturbation treatment of the nonlinear Schrodinger equation, a machine learning-based scheme to mitigate the intra-channel optical fiber nonlinearity is proposed. Referred to as the perturbation theory-aided (PA)…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Xiang Lin , Shenghang Luo , Sunish Kumar Orappanpara Soman , Octavia A. Dobre , Lutz Lampe , Deyuan Chang , Chuandong Li

The modeling of optical wave propagation in optical fiber is a task of fast and accurate solving the nonlinear Schr\"odinger equation (NLSE), and can enable the optical system design, digital signal processing verification and fast waveform…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

Digital backpropagation (DBP) is one of the most effective techniques for compensating nonlinear distortions in coherent optical fiber communication systems. However, its practical application to wideband transmission remains limited by…

Nonlinearity mitigation using digital signal processing has been shown to increase the achievable data rates of optical fiber transmission links. One especially effective technique is digital back propagation (DBP), an algorithm capable of…

Signal Processing · Electrical Eng. & Systems 2018-08-31 Tom Sherborne , Benjamin Banks , Daniel Semrau , Robert I. Killey , Polina Bayvel , Domaniç Lavery

A neural-network-based approach is presented to efficiently implement digital backpropagation (DBP). For a 32x100 km fiber-optic link, the resulting "learned" DBP significantly reduces the complexity compared to conventional DBP…

Information Theory · Computer Science 2017-10-18 Christian Häger , Henry D. Pfister

Deep neural networks (DNNs) have achieved exceptional performance across various fields by learning complex, nonlinear mappings from large-scale datasets. However, they face challenges such as high memory requirements and computational…

Machine Learning · Computer Science 2025-04-21 Callen MacPhee , Yiming Zhou , Bahram Jalali

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

Optics · Physics 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

Nonlinear effects in high-speed optical fiber systems fundamentally limit channel capacity. While traditional Digital Backward Propagation (DBP) with adaptive filters addresses these effects, its computational complexity remains…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Xinyu Xiao , Zhennan Zhou , Bin Dong , Dingjiong Ma , Li Zhou , Jie Sun

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

In cater the need of Beyond 5G communications, large numbers of data driven artificial intelligence based fiber models has been put forward as to utilize artificial intelligence's regression ability to predict pulse evolution in fiber…

Artificial Intelligence · Computer Science 2024-08-20 Yubin Zang , Boyu Hua , Zhenzhou Tang , Zhipeng Lin , Fangzheng Zhang , Simin Li , Zuxing Zhang , Hongwei Chen

Fiber Kerr nonlinearity is a fundamental limitation to the achievable capacity of long-distance optical fiber communication. Digital back-propagation (DBP) is a primary methodology to mitigate both linear and nonlinear impairments by…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Hao Ming , Xinyu Chen , Xiansong Fang , Lei Zhang , Chenjia Li , Fan Zhang

This work proposes a novel low-complexity digital backpropagation (DBP) method, with the goal of optimizing the trade-off between backpropagation accuracy and complexity. The method combines a split step Fourier method (SSFM)-like structure…

Information Theory · Computer Science 2025-04-04 Stella Civelli , Debi Pada Jana , Enrico Forestieri , Marco Secondini

We investigate methods for experimental performance enhancement of auto-encoders based on a recurrent neural network (RNN) for communication over dispersive nonlinear channels. In particular, our focus is on the recently proposed sliding…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Boris Karanov , Mathieu Chagnon , Vahid Aref , Filipe Ferreira , Domanic Lavery , Polina Bayvel , Laurent Schmalen

In this paper, we investigate the use of the learned digital back-propagation (LDBP) for equalizing dual-polarization fiber-optic transmission in dispersion-managed (DM) links. LDBP is a deep neural network that optimizes the parameters of…

Networking and Internet Architecture · Computer Science 2023-07-14 Mohannad Abu-Romoh , Nelson Costa , Yves Jaouën , Antonio Napoli , João Pedro , Bernhard Spinnler , Mansoor Yousefi

In this work, we use an explainable convolutional neural network (NLS-Net) to solve an inverse problem of the nonlinear Schr\"odinger equation, which is widely used in fiber-optic communications. The landscape and minimizers of the…

Numerical Analysis · Mathematics 2021-07-20 Yiran Wang , Zhen Li

Data-nulling superimposed pilot (DNSP) effectively alleviates the superimposed interference of superimposed training (ST)-based channel estimation (CE) in orthogonal frequency division multiplexing (OFDM) systems, while facing the…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Chaojin Qing , Lei Dong , Li Wang , Guowei Ling , Jiafan Wang

Fast and accurate waveform simulation is critical for understanding fiber channel characteristics, developing digital signal processing (DSP) technologies, optimizing optical network configurations, and advancing the optical fiber…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Minghui Shi , Hang Yang , Zekun Niu , Chuyan Zeng , Junzhe Xiao , Yunfan Zhang , Mingzhe Chen , Weisheng Hu , Lilin Yi
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