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

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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article numbere12795
Number of pages17
JournalStudies in Applied Mathematics
Volume154
Issue number1
Early online date6 Dec 2024
DOIs
Publication statusPublished - 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.

Keywords

  • inverse scattering transform
  • nonlinear Fourier transform
  • nonlinear Schrödinger equation
  • optical communication

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