Digital backpropagation in the nonlinear Fourier domain

Wahls, Sander, Le, Son Thai, Prylepskiy, Yaroslav E., Poor, H. Vincent and Turitsyn, Sergei K. (2015). Digital backpropagation in the nonlinear Fourier domain. IN: UNSPECIFIED IEEE.

Abstract

Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schrödinger equation, which describes the evolution of the signal in the link, numerically. This technique is known as digital backpropagation. Typical digital backpropagation algorithms are based on split-step Fourier methods in which the signal has to be discretized in time and space. The need to discretize in both time and space however makes the real-time implementation of digital backpropagation a challenging problem. In this paper, a new fast algorithm for digital backpropagation based on nonlinear Fourier transforms is presented. Aiming at a proof of concept, the main emphasis will be put on fibers with normal dispersion in order to avoid the issue of solitonic components in the signal. However, it is demonstrated that the algorithm also works for anomalous dispersion if the signal power is low enough. Since the spatial evolution of a signal governed by the nonlinear Schrödinger equation can be reverted analytically in the nonlinear Fourier domain through simple phase-shifts, there is no need to discretize the spatial domain. The proposed algorithm requires only OpDlog2 Dq floating point operations to backpropagate a signal given by D samples, independently of the fiber's length, and is therefore highly promising for real-time implementations. The merits of this new approach are illustrated through numerical simulations.

Publication DOI: https://doi.org/10.1109/SPAWC.2015.7227077
Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Institute of Photonics
Additional Information: © 2015 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.
Event Title: 16th IEEE International Workshop on Signal Processing Advances in Wireless Communications
Event Type: Other
Event Dates: 2015-06-28 - 2015-07-01
Uncontrolled Keywords: digital backpropagation,nonlinear Fourier transform,nonlinear Schrödinger equation,optical fiber,Electrical and Electronic Engineering,Computer Science Applications,Information Systems
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Related URLs: http://www.scopus.com/inward/record.url?scp=84953389428&partnerID=8YFLogxK (Scopus URL)
Published Date: 2015-08-27
Authors: Wahls, Sander
Le, Son Thai ( 0000-0002-3824-9456)
Prylepskiy, Yaroslav E.
Poor, H. Vincent
Turitsyn, Sergei K. ( 0000-0003-0101-3834)

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