Data Transmission Based on Exact Inverse Periodic Nonlinear Fourier Transform, Part II: Waveform Design and Experiment

The nonlinear Fourier transform has the potential to overcome limits on performance and achievable data rates which arise in modern optical fiber communication systems when nonlinear interference is treated as noise. The periodic nonlinear Fourier transform (PNFT) has been much less investigated com...

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Bibliographic Details
Published in:Journal of lightwave technology 2020-12, Vol.38 (23), p.6520-6528
Main Authors: Goossens, Jan-Willem, Hafermann, Hartmut, Jaouen, Yves
Format: Article
Language:English
Subjects:
Algorithms
Boundary conditions
Communications systems
Constellations
Data transmission
Eigenvalues and eigenfunctions
Encoding
Engineering Sciences
Experiments
Fourier transforms
Group velocity
Inverse scattering
Nonlinear optics
Nonlinear systems
Optical communication
optical fiber communication
Optical fibers
Optical noise
Optical solitons
Optics
periodic nonlinear Fourier transform
Photonic
Waveforms
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Summary:The nonlinear Fourier transform has the potential to overcome limits on performance and achievable data rates which arise in modern optical fiber communication systems when nonlinear interference is treated as noise. The periodic nonlinear Fourier transform (PNFT) has been much less investigated compared to its counterpart based on vanishing boundary conditions. In this article, we design a first experiment based on the PNFT in which information is encoded in the invariant nonlinear main spectrum. To this end, we propose a method to construct a set of periodic waveforms each having the same fixed period, by employing the exact inverse PNFT algorithm developed in Part I. We demonstrate feasibility of the transmission scheme in experiment in good agreement with simulations and obtain a bit-error ratio of 10^{-3} over a distance of 2000 km. It is shown that the transmission reach is significantly longer than expected from a naive estimate based on group velocity dispersion and cyclic prefix length, which is explained through a dominating solitonic component in the transmitted waveform. Our constellation design can be generalized to an arbitrary number of nonlinear degrees of freedom.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2020.3013163