Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications

被引：0

作者：

Sedov, Egor ^{[1
]}

Chekhovskoy, Igor ^{[2
]}

Fedoruk, Mikhail ^{[2
]}

Turitsyn, Sergey ^{[1
]}

机构：

[1] Aston Institute of Photonic Technologies, Aston University, Birmingham, United Kingdom

[2] Laboratory of Nonlinear Photonics, Novosibirsk State University, Novosibirsk, Russia

来源：

Studies in Applied Mathematics | 2025年 / 154卷 / 01期

基金：

俄罗斯科学基金会; 英国工程与自然科学研究理事会;

关键词：

Fourier transforms - Inverse problems - Inverse transforms - Nonlinear equations - Nonlinear optics - Optical fiber communication - Time domain analysis;

D O I：

10.1111/sapm.12795

中图分类号：

学科分类号：

摘要：

We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time-domain signal processing techniques. Our main focus is on the challenges and recent progress in the development of efficient numerical algorithms and approaches to NFT implementation. © 2024 The Author(s). Studies in Applied Mathematics published by Wiley Periodicals LLC.

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