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

Egor Sedov; Igor Chekhovskoy; Mikhail Fedoruk; Sergei K. Turitsyn

doi:10.1111/sapm.12795

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

Egor Sedov
, Igor Chekhovskoy
, Mikhail Fedoruk
, Sergei K. Turitsyn

Aston University
Novosibirsk State University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

10 Downloads (Pure)

Abstract

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.

Original language	English
Article number	e12795
Number of pages	17
Journal	Studies in Applied Mathematics
Volume	154
Issue number	1
Early online date	6 Dec 2024
DOIs	https://doi.org/10.1111/sapm.12795
Publication status	Published - Jan 2025

Bibliographical note

Copyright © 2024 The Author(s). Studies in Applied Mathematics published by Wiley Periodicals LLC. This is an open access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Data Access Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Funding

This work was supported by the Russian Science Foundation (project no. 20-11-20040) and Engineering and Physical Sciences Research Council(EPSRC) project TRANSNET.

Keywords

inverse scattering transform
nonlinear Fourier transform
nonlinear Schrödinger equation
optical communication

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10.1111/sapm.12795Licence: CC BY 4.0

Stud Appl Math - 2024 - Sedov - Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for
Copyright © 2024 The Author(s). Studies in Applied Mathematics published by Wiley Periodicals LLC. This is an open access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Final published version, 2.48 MBLicence: CC BY 4.0

Cite this

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

Abstract

Bibliographical note

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Keywords

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