Digital backpropagation in the nonlinear Fourier domain


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.

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Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
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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
ISBN: 9781479919307, 978-1-4799-1931-4
Last Modified: 27 May 2024 07:44
Date Deposited: 26 Jan 2017 11:15
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Conference contribution
Published Date: 2015-08-27
Authors: Wahls, Sander
Le, Son Thai (ORCID Profile 0000-0002-3824-9456)
Prylepskiy, Yaroslav E. (ORCID Profile 0000-0002-3035-4112)
Poor, H. Vincent
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)



Version: Accepted Version

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