Compensation for Nonlinear Distortions in Optical Communication Systems Using Perturbation Theory and Multiparameter Optimization

IF 0.6 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Bulletin of the Lebedev Physics Institute Pub Date : 2024-11-05 DOI:10.3103/S1068335624601602
A. A. Redyuk, E. I. Shevelev, V. R. Danilko, M. P. Fedoruk
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Abstract

Nonlinear signal distortions are one of the main reasons limiting the throughput and length of modern fiber-optic communication lines. One of the developed approaches to nonlinear distortion compensation is based on the application of perturbation theory methods to the nonlinear Schrödinger equation, and allows one to obtain a relationship between transmitted and received symbols. Gradient methods that minimize the standard deviation between symbols are usually used to find the perturbation coefficients. However, the main parameter characterizing the data transmission quality is the bit error rate. We propose a modification of this approach in the form of a two-stage scheme for calculating the perturbation coefficients. At the first stage, the coefficients are calculated using the least squares method by minimizing the standard deviation, and at the second stage, the obtained solution is used as an initial approximation to minimize the error coefficient using the particle swarm method. In a numerical experiment, using the algorithm for compensating for received signal distortions based on the proposed scheme, a 0.9 dB gain in the signal-to-noise ratio is obtained for a multi-span line 20 × 100 km long and a 16QAM signal with a channel rate of 267 Gbit/s. An improvement in the accuracy of the algorithm (compared to a single-stage scheme) is shown, estimates of the computational complexity of the algorithm are obtained, and the relationship between its complexity and accuracy is presented.

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利用扰动理论和多参数优化补偿光通信系统中的非线性失真
非线性信号失真是限制现代光纤通信线路吞吐量和长度的主要原因之一。已开发的非线性失真补偿方法之一是将扰动理论方法应用于非线性薛定谔方程,从而获得传输和接收符号之间的关系。使符号间标准偏差最小化的梯度法通常用于寻找扰动系数。然而,表征数据传输质量的主要参数是误码率。我们对这种方法提出了一种修改方案,即采用两阶段方案计算扰动系数。在第一阶段,使用最小二乘法计算系数,使标准偏差最小化;在第二阶段,使用粒子群法将获得的解作为初始近似值,使误差系数最小化。在数值实验中,使用基于所提方案的接收信号失真补偿算法,对一条长 20 × 100 千米的多跨线路和信道速率为 267 Gbit/s 的 16QAM 信号,获得了 0.9 dB 的信噪比增益。结果表明,与单级方案相比,该算法的精确度有所提高,并估算了该算法的计算复杂度,同时提出了复杂度与精确度之间的关系。
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来源期刊
Bulletin of the Lebedev Physics Institute
Bulletin of the Lebedev Physics Institute PHYSICS, MULTIDISCIPLINARY-
CiteScore
0.70
自引率
25.00%
发文量
41
审稿时长
6-12 weeks
期刊介绍: Bulletin of the Lebedev Physics Institute is an international peer reviewed journal that publishes results of new original experimental and theoretical studies on all topics of physics: theoretical physics; atomic and molecular physics; nuclear physics; optics; lasers; condensed matter; physics of solids; biophysics, and others.
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