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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Optimization of Probabilistic Shaping for Nonlinear Fiber Channels with Non-Gaussian Noise.

Henrik Enggaard Hansen1, Metodi P Yankov1, Leif Katsuo Oxenløwe1

  • 1DTU Fotonik, Technical University of Denmark, Bygning 343, Ørsted Plads, 2800 Kongens Lyngby, Denmark.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary

Probabilistic constellation shaping optimizes fiber optic communication by tailoring signal probabilities. This advanced technique outperforms standard methods, enhancing data transmission over nonlinear channels.

Keywords:
coherent communicationsconstellation shapingfiber optic communicationnonlinearities

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Area of Science:

  • Optical Communications
  • Information Theory
  • Nonlinear Optics

Background:

  • Fiber optic channels exhibit nonlinear effects that degrade signal quality.
  • Conventional probabilistic constellation shaping (PCS) for Additive White Gaussian Noise (AWGN) channels is suboptimal for nonlinear channels.
  • Nonlinear interference and amplified spontaneous emission noise are key challenges.

Purpose of the Study:

  • To investigate probabilistic constellation shaping (PCS) in nonlinear fiber optic communication channels.
  • To develop a channel-agnostic optimization strategy for PCS.
  • To optimize constellation probability mass functions (PMFs) for various nonlinear channel types.

Main Methods:

  • A general framework for PCS in nonlinear channels was established.
  • Channel-agnostic optimization of constellation PMFs was employed.
  • Optimized PMFs were compared against conventional Maxwell-Boltzmann PMFs and unshaped Quadrature-Amplitude Modulation (QAM).

Main Results:

  • Optimized PMFs effectively balance amplified spontaneous emission noise and nonlinear interference.
  • The derived PMFs deviate from Maxwell-Boltzmann distributions and outperform them.
  • Significant gains of over 0.1 bits/symbol were achieved compared to unshaped QAM across tested channels.

Conclusions:

  • Channel-optimized PCS is superior to conventional methods in nonlinear fiber optic systems.
  • The optimized PMFs mitigate nonlinear effects and improve spectral efficiency.
  • PCS offers substantial performance gains, particularly for dispersion-managed and unrepeatered channels.