# Analysis and Optimisation of Distribution Matching for the Nonlinear Fibre Channel

## TL;DR

This paper introduces a nonlinearity-optimized distribution matcher for nonlinear fibre channels, significantly improving SNR performance by accounting for the variable composition of probabilistic shaping schemes.

## Contribution

It presents a novel distribution matching method optimized for nonlinear effects, enhancing SNR metrics in fibre channel communications.

## Key findings

- Improved average SNR by 0.14 dB
- Enhanced worst-case SNR by 0.22 dB
- Effective mitigation of nonlinear effects in probabilistic shaping

## Abstract

Enhanced Gaussian noise models are used to demonstrate that the per-block SNR after fibre transmission varies significantly due to the variable-composition nature of modern probabilistic shaping schemes. We propose a nonlinearity-optimised distribution matcher that improves the average and worst-case SNR by 0.14 and 0.22 dB, respectively.