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Nonlinear Fourier Transforms in Action

Publicaciones

Analysis of nonlinear ship-induced 3D wave field using nonlinear Fourier transforms

Autores: H. Zhang, S. Wahls, M. Brühl
Publicado en: Proc. Coastal Dynamics'21, 2022
Editor: Unknown

Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform

Autores: Markus Bruehl, Sander Wahls, Ignacio Barranco Granged, Philipp L.-F. Liu
Publicado en: Volume 6B: Ocean Engineering, 2020, ISBN 978-0-7918-8438-6
Editor: American Society of Mechanical Engineers
DOI: 10.1115/omae2020-19074

Shortening Solitons for Fiber-Optic Transmission

Autores: Sander Wahls
Publicado en: 2021 17th International Symposium on Wireless Communication Systems (ISWCS), 2021, Página(s) 1-6, ISBN 978-1-7281-7432-7
Editor: IEEE
DOI: 10.1109/iswcs49558.2021.9562241

Full Spectrum b-Modulation of Time-Limited Signals Using Linear Programming

Autores: S. Wahls
Publicado en: Proc. OFC'22, 2022, ISBN 978-1-55752-466-9
Editor: Unknown

Generation of Time-Limited Signals in the Nonlinear Fourier Domain via b-Modulation

Autores: Sander Wahls
Publicado en: 2017 European Conference on Optical Communication (ECOC), 2017, Página(s) 1-3, ISBN 978-1-5386-5624-2
Editor: IEEE
DOI: 10.1109/ECOC.2017.8346231

Nonlinear Fourier Transform Algorithm Using a Higher Order Exponential Integrator

Autores: Shrinivas Chimmalgi, Peter J. Prins, Sander Wahls
Publicado en: Advanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF), Edición 2–5 July 2018, 2018, Página(s) SpM4G.5, ISBN 978-1-943580-43-9
Editor: OSA
DOI: 10.1364/sppcom.2018.spm4g.5

Higher Order Exponential Splittings for the Fast Non-Linear Fourier Transform of the Korteweg-De Vries Equation

Autores: Peter J. Prins, Sander Wahls
Publicado en: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2018, Página(s) 4524-4528, ISBN 978-1-5386-4658-8
Editor: IEEE
DOI: 10.1109/icassp.2018.8461708

Discrete Darboux based Fast Inverse Nonlinear Fourier Transform Algorithm for Multi-solitons

Autores: Shrinivas Chimmalgi, Sander Wahls
Publicado en: 2017 European Conference on Optical Communication (ECOC), 2017, Página(s) 1-3, ISBN 978-1-5386-5624-2
Editor: IEEE
DOI: 10.1109/ECOC.2017.8346226

Theoretical Analysis of Maximum Transmit Power in a b-Modulator

Autores: Shrinivas Chimmalgi, Sander Wahls
Publicado en: Proceedings of the 45th European Conference on Optical Communication, 2019
Editor: The IET (?)

NFDMLab: Simulating Nonlinear Frequency Division Multiplexing in Python

Autores: Marius Brehler, Christoph Mahnke, Shrinivas Chimmalgi, Sander Wahls
Publicado en: Optical Fiber Communication Conference (OFC) 2019, 2019, Página(s) M3Z.13, ISBN 978-1-943580-53-8
Editor: OSA
DOI: 10.1364/ofc.2019.m3z.13

Wiener-Hopf Method for b-Modulation

Autores: Sander Wahls, Shrinivas Chimmalgi, Peter J. Prins
Publicado en: Optical Fiber Communication Conference (OFC) 2019, 2019, Página(s) W2A.50, ISBN 978-1-943580-53-8
Editor: OSA
DOI: 10.1364/ofc.2019.w2a.50

Exact nonlinear frequency division multiplexing in lossy fibers

Autores: Vinod Bajaj, Shrinivas Chimmalgi, Vahid Aref and Sander Wahls
Publicado en: Proceedings of the 45th European Conference on Optical Communication, 2019
Editor: The IET (?)

Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT

Autores: Sander Wahls, Markus Bruehl, Yang-Ming Fan, Ching-Jer Huang
Publicado en: Volume 6B: Ocean Engineering, 2020, ISBN 978-0-7918-8438-6
Editor: American Society of Mechanical Engineers
DOI: 10.1115/omae2020-18676

An accurate O ( N 2 ) floating point algorithm for the Crum transform of the KdV equation

Autores: Peter J. Prins, Sander Wahls
Publicado en: Communications in Nonlinear Science and Numerical Simulation, Edición 102, 2021, Página(s) 105782, ISSN 1007-5704
Editor: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105782

Contribution of solitons to enhanced rogue wave occurrence in shallow depths: a case study in the southern North Sea

Autores: Ina Teutsch, Markus Brühl, Ralf Weisse, Sander Wahls
Publicado en: Natural Hazards and Earth System Sciences, Edición 23, 2023, Página(s) 2053–2073, ISSN 1684-9981
Editor: European Geophysical Union
DOI: 10.5194/nhess-23-2053-2023

Bounds on the Transmit Power of b-Modulated NFDM Systems in Anomalous Dispersion Fiber

Autores: Shrinivas Chimmalgi, Sander Wahls
Publicado en: Entropy, Edición 22/6, 2020, Página(s) 639, ISSN 1099-4300
Editor: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/e22060639

Reliable computation of the eigenvalues of the discrete KdV spectrum

Autores: Peter Prins; Sander Wahls
Publicado en: Applied Mathematics and Computation, Edición Vol. 433, 2022, Página(s) 127361, ISSN 0096-3003
Editor: Elsevier BV
DOI: 10.1016/j.amc.2022.127361

Nonlinear Fourier classification of 663 rogue waves measured in the Philippine Sea

Autores: Yu-Chen Lee, Markus Brühl, Dong-Jiing Doong, Sander Wahls
Publicado en: PLOS ONE, Edición 19, 2024, Página(s) e0301709, ISSN 1932-6203
Editor: Public Library of Science
DOI: 10.1371/journal.pone.0301709

FNFT: A Software Library for Computing Nonlinear Fourier Transforms

Autores: Sander Wahls, Shrinivas Chimmalgi, Peter J Prins
Publicado en: Journal of Open Source Software, Edición 3/23, 2018, Página(s) 597, ISSN 2475-9066
Editor: Journal of Open Source Software
DOI: 10.21105/joss.00597

Nonlinear frequency division multiplexing with b-modulation: shifting the energy barrier

Autores: Tao Gui, Gai Zhou, Chao Lu, Alan Pak Tao Lau, Sander Wahls
Publicado en: Optics Express, Edición 26/21, 2018, Página(s) 27978, ISSN 1094-4087
Editor: Optical Society of America
DOI: 10.1364/oe.26.027978

Fast Nonlinear Fourier Transform Algorithms Using Higher Order Exponential Integrators

Autores: Shrinivas Chimmalgi, Peter J. Prins, Sander Wahls
Publicado en: IEEE Access, Edición 7, 2019, Página(s) 145161-145176, ISSN 2169-3536
Editor: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/access.2019.2945480

Soliton Phase Shift Calculation for the Korteweg–De Vries Equation

Autores: Peter J. Prins, Sander Wahls
Publicado en: IEEE Access, Edición 7, 2019, Página(s) 122914-122930, ISSN 2169-3536
Editor: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/access.2019.2932256

Exact NFDM Transmission in the Presence of Fiber-Loss

Autores: Vinod Bajaj, Shrinivas Chimmalgi, Vahid Aref, Sander Wahls
Publicado en: Journal of Lightwave Technology, 2020, Página(s) 1-1, ISSN 0733-8724
Editor: Optical Society of America
DOI: 10.1109/jlt.2020.2984041

On computing high-dimensional Riemann theta functions

Autores: Shrinivas Chimmalgi, Sander Wahls
Publicado en: Communications in Nonlinear Science and Numerical Simulation, Edición 123, 2023, Página(s) 107266, ISSN 1007-5704
Editor: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107266

Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform

Autores: M. Brühl, P. J. Prins, S. Ujvary, I. Barranco, S. Wahls, P. L.-F.Liu
Publicado en: Wave Motion, Edición May 2022, 2022, ISSN 0165-2125
Editor: Elsevier BV
DOI: 10.1016/j.wavemoti.2022.102905

Identification of Spines in Nonlinear Fourier Spectra for the Periodic Nonlinear Schrödinger Equation

Autores: Kitsios, Christos
Publicado en: 2022
Editor: TU Delft

NFDMLab: Release 2019-03-15

Autores: M. Brehler,C. Mahnke, S. Chimmalgi, S. Wahls
Publicado en: 2019
Editor: Zenodo
DOI: 10.5281/zenodo.6500248

FNFT: Version 0.4.1

Autores: Sander Wahls, Shrinivas Chimmalgi, Peter J. Prins, Marius Brehler
Publicado en: 2020
Editor: Zenodo
DOI: 10.5281/zenodo.3941976

Contribution of solitons to enhanced rogue wave occurrence in shallow water: a case study in the southern North Sea

Autores: Ina Teutsch, Markus Brühl, Ralf Weisse, Sander Wahls
Publicado en: Natural Hazards and Earth System Sciences Preprints, 2022
Editor: European Geosciences Union
DOI: 10.5194/nhess-2022-28

Fiber-Optic Communications Using Nonlinear Fourier Transforms: Algorithms and a Bound

Autores: Shrinivas Chimmalgi
Publicado en: 2022, ISBN 978-94-6384-357-7
Editor: TU Delft
DOI: 10.4233/uuid:50ed87d8-2ec2-40e4-88b2-02ac63ef8413

Reliable numerical algorithms for the Non-linear Fourier Transform of the KdV equation

Autores: Peter J. Prins
Publicado en: 2022, ISBN 978-94-6384-320-1
Editor: TU Delft
DOI: 10.4233/uuid:171ba94a-e8f4-4969-b6ed-912d4f334968

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