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Auteurs principaux: Redyuk, Alexey, Shevelev, Evgeny, Danilko, Vitaly, Fedoruk, Mikhail
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2409.20023
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author Redyuk, Alexey
Shevelev, Evgeny
Danilko, Vitaly
Fedoruk, Mikhail
author_facet Redyuk, Alexey
Shevelev, Evgeny
Danilko, Vitaly
Fedoruk, Mikhail
contents Nonlinear signal distortions are one of the primary factors limiting the capacity and reach of optical transmission systems. Currently, several approaches exist for compensating nonlinear distortions, but for practical implementation, algorithms must be simultaneously accurate, fast, and robust against various interferences. One established approach involves applying perturbation theory methods to the nonlinear Schrödinger equation, which enables the determination of the relation between transmitted and received symbols. In most studies, gradient methods are used to find perturbation coefficients by minimizing the mean squared error between symbols. However, the main parameter characterizing the quality of information transmission is the bit error rate. We propose a modification of the conventional perturbation-based approach for fiber nonlinearity compensation in the form of a two-stage scheme for calculating perturbation coefficients. In the first stage, the coefficients are computed using a convolutional neural network by minimizing the mean squared error. In the second stage, the obtained solution is used as an initial approximation for minimizing the bit error rate using the particle swarm optimization method. In numerical experiments, using the nonlinearity compensation algorithm based on the proposed scheme, we achieved a 0.8~dB gain in the signal-to-noise ratio for a 16QAM 20$\times$100 km link with a channel rate of 267~Gbit/s and demonstrated improved accuracy compared to the single-stage scheme. We estimated computational complexity of the algorithm and demonstrated the relation between its complexity and accuracy. Additionally, we developed a method for learning perturbation coefficients without relying on ideal symbols from the transmitter, instead using the received symbols after hard decision detection.
format Preprint
id arxiv_https___arxiv_org_abs_2409_20023
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle CNN-Assisted Particle Swarm Optimization of a Perturbation-Based Model for Nonlinearity Compensation in Optical Transmission Systems
Redyuk, Alexey
Shevelev, Evgeny
Danilko, Vitaly
Fedoruk, Mikhail
Optics
Nonlinear signal distortions are one of the primary factors limiting the capacity and reach of optical transmission systems. Currently, several approaches exist for compensating nonlinear distortions, but for practical implementation, algorithms must be simultaneously accurate, fast, and robust against various interferences. One established approach involves applying perturbation theory methods to the nonlinear Schrödinger equation, which enables the determination of the relation between transmitted and received symbols. In most studies, gradient methods are used to find perturbation coefficients by minimizing the mean squared error between symbols. However, the main parameter characterizing the quality of information transmission is the bit error rate. We propose a modification of the conventional perturbation-based approach for fiber nonlinearity compensation in the form of a two-stage scheme for calculating perturbation coefficients. In the first stage, the coefficients are computed using a convolutional neural network by minimizing the mean squared error. In the second stage, the obtained solution is used as an initial approximation for minimizing the bit error rate using the particle swarm optimization method. In numerical experiments, using the nonlinearity compensation algorithm based on the proposed scheme, we achieved a 0.8~dB gain in the signal-to-noise ratio for a 16QAM 20$\times$100 km link with a channel rate of 267~Gbit/s and demonstrated improved accuracy compared to the single-stage scheme. We estimated computational complexity of the algorithm and demonstrated the relation between its complexity and accuracy. Additionally, we developed a method for learning perturbation coefficients without relying on ideal symbols from the transmitter, instead using the received symbols after hard decision detection.
title CNN-Assisted Particle Swarm Optimization of a Perturbation-Based Model for Nonlinearity Compensation in Optical Transmission Systems
topic Optics
url https://arxiv.org/abs/2409.20023