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 |
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Article number | e12795 |
Number of pages | 17 |
Journal | Studies in Applied Mathematics |
Volume | 154 |
Issue number | 1 |
Early online date | 6 Dec 2024 |
DOIs | |
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.Keywords
- inverse scattering transform
- nonlinear Fourier transform
- nonlinear Schrödinger equation
- optical communication