Periodic nonlinear Fourier transform for fiber-optic communications, Part I: theory and numerical methods

M Kamalian, JE Prilepsky, ST Le, SK Turitsyn - Optics express, 2016 - opg.optica.org
In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an
alternative and efficacious tool for compensation of the nonlinear transmission effects in …

Data transmission based on exact inverse periodic nonlinear Fourier transform, Part I: Theory

JW Goossens, H Hafermann, Y Jaouën - Journal of Lightwave …, 2020 - opg.optica.org
The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical
fiber into nonlinear degrees of freedom, which are preserved during transmission. By …

Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives

SK Turitsyn, JE Prilepsky, ST Le, S Wahls, LL Frumin… - Optica, 2017 - opg.optica.org
Fiber-optic communication systems are nowadays facing serious challenges due to the fast
growing demand on capacity from various new applications and services. It is now well …

Periodic nonlinear Fourier transform for fiber-optic communications, Part II: eigenvalue communication

M Kamalian, JE Prilepsky, ST Le, SK Turitsyn - Optics express, 2016 - opg.optica.org
In this paper we propose the design of communication systems based on using periodic
nonlinear Fourier transform (PNFT), following the introduction of the method in the Part I. We …

Fast nonlinear Fourier transform algorithms using higher order exponential integrators

S Chimmalgi, PJ Prins, S Wahls - IEEE Access, 2019 - ieeexplore.ieee.org
The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic
communications and other engineering fields. Although several numerical algorithms for …

[PDF][PDF] FNFT: A software library for computing nonlinear Fourier transforms

S Wahls, S Chimmalgi, PJ Prins - Journal of Open Source Software, 2018 - joss.theoj.org
The conventional Fourier transform was originally developed in order to solve the heat
equation, which is a standard example for a linear evolution equation. Nonlinear Fourier …

Optical communication based on the periodic nonlinear Fourier transform signal processing

MK Kopae, JE Prilepsky, ST Le… - 2016 IEEE 6th …, 2016 - ieeexplore.ieee.org
In this work we introduce the periodic nonlinear Fourier transform (PNFT) and propose a
proof-of-concept communication system based on it by using a simple waveform with known …

Fixed-point realisation of fast nonlinear Fourier transform algorithm for FPGA implementation of optical data processing

A Vasylchenkova, D Salnikov… - … and Applications XII, 2021 - spiedigitallibrary.org
The nonlinear Fourier transform (NFT) based signal processing has attracted considerable
attention as a promising tool for fibre nonlinearity mitigation in optical transmission …

On the accuracy of split-step Fourier simulations for wideband nonlinear optical communications

S Musetti, P Serena, A Bononi - Journal of Lightwave Technology, 2018 - opg.optica.org
We investigate the accuracy of wideband split-step Fourier method (SSFM) simulations by
treating SSFM numerical noise as an additive distributed noise source, much like amplified …

Fast numerical nonlinear Fourier transforms

S Wahls, HV Poor - IEEE Transactions on Information Theory, 2015 - ieeexplore.ieee.org
The nonlinear Fourier transform, which is also known as the forward scattering transform,
decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common …