Fast nonlinear Fourier transform algorithms using higher order exponential integrators

Journal article (2019)

Authors

S. Chimmalgi Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
Peter J. Prins Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
S. Wahls Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
Research Group
Team Raf Van de Plas (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2019 S. Chimmalgi, Peter J. Prins, S. Wahls
DOI: https://doi.org/10.1109/ACCESS.2019.2945480
Nonlinear Fourier transform Eigenvalues and eigenfunctions Transforms for signal processing Nonlinear signal processing
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Published Date

2019

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Raf Van de Plas

Abstract

The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of highly accurate low-complexity algorithms remains a challenge. In this paper, we present new fast forward NFT algorithms that achieve accuracies that are orders of magnitudes better than current methods, at comparable run times and even for moderate sampling intervals. The new algorithms are compared to existing solutions in multiple, extensive numerical examples.