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Digital Backpropagation in the Nonlinear Fourier Domain

Author(s): Wahls, Sander; Le, Son T; Prilepsky, Jaroslaw E; Poor, H Vincent; Turitsyn, Sergei K

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dc.contributor.authorWahls, Sander-
dc.contributor.authorLe, Son T-
dc.contributor.authorPrilepsky, Jaroslaw E-
dc.contributor.authorPoor, H Vincent-
dc.contributor.authorTuritsyn, Sergei K-
dc.date.accessioned2020-02-19T22:00:01Z-
dc.date.available2020-02-19T22:00:01Z-
dc.date.issued2015en_US
dc.identifier.citationWahls, Sander, Son T. Le, Jaroslaw E. Prilepsk, H. Vincent Poor, and Sergei K. Turitsyn. "Digital backpropagation in the nonlinear Fourier domain." In 2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), (2015): 445-449. doi:10.1109/SPAWC.2015.7227077en_US
dc.identifier.issn1948-3244-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1tb7p-
dc.description.abstractNonlinear 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 O(D log 2 D) 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.en_US
dc.format.extent445-449en_US
dc.language.isoenen_US
dc.relation.ispartof2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communicationsen_US
dc.rightsAuthor's manuscripten_US
dc.titleDigital Backpropagation in the Nonlinear Fourier Domainen_US
dc.typeConference Articleen_US
dc.identifier.doidoi:10.1109/SPAWC.2015.7227077-
dc.identifier.eissn1948-3252-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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