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Extending Fibre Nonlinear Interference Power Modelling to Account for General Dual-Polarisation 4D Modulation Formats
Gabriele Liga1, Astrid Barreiro1, Hami Rabbani1,2
1Information and Communication Theory Lab, Signal Processing Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.
This study extends nonlinear interference models for optical communications. The new models accurately predict interference in arbitrary dual-polarisation 4D formats, going beyond previous limitations.
Area of Science:
- Optical Communications
- Information Theory
- Signal Processing
Background:
- Four-dimensional (4D) modulation formats encode data onto two orthogonal polarization states in optical communications.
- Existing analytical models for nonlinear interference (NLI) in fiber-optic systems are limited to polarization-multiplexed 2D (PM-2D) formats.
- These models assume independent and identically distributed data on each polarization channel, a subset of dual-polarization 4D (DP-4D) formats.
Purpose of the Study:
- To mathematically derive an extension of existing NLI models for arbitrary DP-4D modulation formats.
- To address the limitations of current models that only apply to specific PM-2D formats.
- To provide a more comprehensive framework for analyzing NLI in advanced optical communication systems.
Main Methods:
- Step-by-step mathematical derivation based on the enhanced Gaussian noise model.
- Relaxing assumptions on the geometry and statistics of the transmitted 4D modulation format.
- Extending the analysis to arbitrary DP-4D constellations.
Main Results:
- Developed generalized expressions for NLI power in DP-4D systems.
- Demonstrated that NLI in DP-4D formats depends on cross-polarization correlations, unlike PM-2D formats.
- Showcased the inadequacy of PM-2D models for general DP-4D constellations.
Conclusions:
- The extended NLI models provide a more accurate prediction for arbitrary DP-4D formats.
- Cross-polarization correlations are crucial for accurate NLI assessment in general DP-4D systems.
- This work advances the understanding and design of high-capacity optical communication systems.
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