1,256 research outputs found
Full Spectrum b-Modulation of Time-Limited Signals Using Linear Programming
We present the first method for the joint modulation of the continuous and the discrete nonlinear Fourier spectrum of finite duration signals.Accepted Author ManuscriptTeam Sander Wahl
Generation of time-limited signals in the nonlinear Fourier domain via b-modulation
Current modulation techniques for the nonlinear Fourier spectrum do not offer explicit control over the pulse duration in the time domain. To address this issue, it is proposed to modulate the b-coefficient instead of the reflection coefficient.© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Team Sander Wahl
Theoretical analysis of maximum transmit power in a <i>b</i>-modulator
The optimal transmit power in various nonlinear Fourier transform-based transmission systems has been observed to decrease with the signal duration when bandwidth is fixed. A new theoretical explanation for this behavior is provided for a specific b-modulator and validated in simulations.Accepted Author ManuscriptTeam Sander Wahl
Discrete Darboux based fast inverse nonlinear Fourier transform algorithm for multi-solitons
A fast algorithm for constructing multi-solitons with linear complexity in the number of samples and eigenvalues is introduced. The algorithm is shown to be significantly faster than the conventional Darboux transform in a numerical example, with acceptable error.Accepted Author ManuscriptTeam Raf Van de PlasTeam Sander Wahl
NFDMLab: Simulating nonlinear frequency division multiplexing in Python
Fiber-optic transmission based on nonlinear frequency division multiplexing (NFDM) has received much attention in recent years. We introduce NFDMLab, an open source software package for simulating NFDM transmissions written in the Python language.Accepted Author ManuscriptTeam Sander Wahl
Shortening Solitons for Fiber-Optic Transmission
Solitons are stable localized pulses that do not disperse in optical fiber. When several solitons interact, they form a multi-soliton. Various fiber-optic communication systems based on multi-solitons have been investigated, but their spectral efficiencies are not competitive. One issue with using multi-solitons for communications is that their effective duration can vary widely with the number of interacting solitons. In this paper, we therefore introduce the concept of soliton shortening. In soliton shortening, a dispersive part is added to the nonlinear spectrum of a multi-soliton that reduces the pulse to a fixed finite duration, without changing the characteristics of the solitonic part. As a proof of concept, soliton shortening is shown to increase the spectral efficiency of a 2-soliton on-off keying system by 40%.Accepted Author ManuscriptTeam Sander Wahl
Nonlinear Fourier transform algorithm using a higher order exponential integrator
We present a nonlinear Fourier transform algorithm whose accuracy, at a comparable runtime and for moderate step sizes, is orders of magnitude better than that of the classical Boffetta-Osborne method.Accepted Author ManuscriptTeam Sander WahlsTeam Raf Van de Pla
Single-channel 1.61 Tb/s optical coherent transmission enabled by neural network-based digital pre-distortion
We propose a novel digital pre-distortion (DPD) based on neural networks for high-baudrate optical coherent transmitters. We demonstrate experimentally that it outperforms an optimized linear DPD giving a 1.2 dB SNR gain in a 128GBaud PCS-256QAM single-channel transmission over 80km of standard single-mode fiber resulting in a record 1.61 Tb/s net data rate.Accepted Author ManuscriptTeam Sander Wahl
Higher order exponential splittings for the fast Non-linear Fourier Transform of the Korteweg-De Vries equation
Non-linear Fourier Transforms (NFTs) enable the analysis of signals governed by certain non-linear evolution equations in a way that is analogous to how the conventional Fourier transform is used to analyse linear wave equations. Recently, fast numerical algorithms have been derived for the numerical computation of certain NFTs. In this paper, we are primarily concerned with fast NFTs with respect to the Korteweg-de Vries equation (KdV), which describes e.g. the evolution of waves in shallow water. We find that in the KdV case, the fast NFT can be more sensitive to numerical errors caused by an exponential splitting. We present higher order splittings that reduce these errors and are compatible with the fast NFT. Furthermore we demonstrate for the NSE case that using these splittings can make the accuracy of the fast NFT match that of the conventional NFT.Accepted Author ManuscriptTeam Sander Wahl
Exact nonlinear frequency division multiplexing in lossy fibers
The path-average approximation penalizes NFDM transmission over lumped amplified fiber links.We investigate suitably tapered lossy fibers to overcome the approximation error induced by the path average, making the NFDM transmission exact. Error vector magnitude gains up to 4.8 dB are observed.Accepted Author ManuscriptTeam Sander Wahl
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