A Simple Nonlinearity-Tailored Probabilistic Shaping Distribution for Square QAM
Eric Sillekens, Daniel Semrau, Gabriele Liga, Nikita A. Shevchenko,, Zhe Li, Alex Alvarado, Polina Bayvel, Robert. I. Killey, Domani\c{c} Lavery

TL;DR
This paper introduces a novel probabilistic shaping distribution tailored for square QAM that enhances mutual information and SNR in nonlinear fiber channels, outperforming traditional Maxwell-Boltzmann distributions.
Contribution
The paper proposes a new nonlinearity-tailored probabilistic shaping distribution that improves performance metrics over Maxwell-Boltzmann in nonlinear fiber communications.
Findings
0.1 bit/symbol MI gain for DP-256QAM
0.2 dB SNR improvement after 200 km transmission
Outperforms Maxwell-Boltzmann distribution in nonlinear channels
Abstract
A new probabilistic shaping distribution that outperforms Maxwell-Boltzmann is studied for the nonlinear fiber channel. Additional gains of 0.1 bit/symbol MI or 0.2 dB SNR for both DP-256QAM and DP-1024QAM are reported after 200 km nonlinear fiber transmission.
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