Probabilistic Eigenvalue Shaping for Nonlinear Fourier Transform Transmission
Artikel i vetenskaplig tidskrift, 2018

We consider a nonlinear Fourier transform (NFT)-based transmission scheme, where data is embedded into the imaginary part of the nonlinear discrete spectrum. Inspired by probabilistic amplitude shaping, we propose a probabilistic eigenvalue shaping (PES) scheme as a means to increase the data rate of the system. We exploit the fact that for an NFT-based transmission scheme the pulses in the time domain are of unequal duration by transmitting them with a dynamic symbol interval and find a capacity-achieving distribution. The PES scheme shapes the information symbols according to the capacity-achieving distribution and transmits them together with the parity symbols at the output of a low-density parity-check encoder, suitably modulated, via time-sharing. We furthermore derive an achievable rate for the proposed PES scheme. We verify our results with simulations of the discrete-time model as well as with split-step Fourier simulations.

soliton communication

nonlinear Fourier transform (NFT)

Discrete spectrum

probabilistic shaping


Andreas Buchberger

Chalmers, Elektroteknik, Kommunikation, Antenner och Optiska Nätverk

Alexandre Graell i Amat

Chalmers, Elektroteknik, Kommunikation, Antenner och Optiska Nätverk

Vahid Aref


Laurent Schmalen


Journal of Lightwave Technology

0733-8724 (ISSN)

Vol. 36 20 4799-4807 8409271

Coding for Optical communications In the Nonlinear regime (COIN)

Europeiska kommissionen (EU) (EC/H2020/676448), 2016-03-01 -- 2020-02-28.






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