Probabilistic Eigenvalue Shaping for Nonlinear Fourier Transform Transmission
Journal article, 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.

probabilistic shaping

Discrete spectrum

soliton communication

nonlinear Fourier transform (NFT)

Author

Andreas Buchberger

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Alexandre Graell i Amat

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Vahid Aref

Nokia Bell Labs

Laurent Schmalen

Nokia Bell Labs

Journal of Lightwave Technology

0733-8724 (ISSN)

Vol. 36 20 4799-4807

Coding for Optical communications In the Nonlinear regime (COIN)

European Commission (Horizon 2020), 2016-03-01 -- 2020-02-28.

Subject Categories

Telecommunications

Communication Systems

DOI

10.1109/JLT.2018.2854760

More information

Latest update

4/8/2019 1