Three-dimensional constellation design based on centroid-corrected geometric shaping with optimized average Hamming...

Area of Science:

• Optical Communications
• Digital Signal Processing
• Information Theory

Background:

• Traditional constellation designs in optical communication systems face limitations in spectral efficiency and error performance.
• Optimizing constellation geometry and bit-to-symbol mapping is crucial for improving data transmission reliability.

Purpose of the Study:

• To propose a novel three-dimensional (3D) constellation design, 3D-CCGS-OAHD, for enhanced optical communication performance.
• To improve the constellation figure of merit (CFM) and bit error rate (BER) through optimized geometric shaping and average Hamming distance (AHD).

Main Methods:

• Utilized centroid-corrected geometric shaping (CCGS) to optimize constellation point distribution and ensure balanced geometry.
• Employed a simulated annealing (SA) algorithm to minimize AHD and explore superior bit-to-symbol mapping strategies beyond Gray mapping.
• Demonstrated the 3D-CCGS-OAHD scheme over a 2 km 7-core fiber link.

Main Results:

• The 3D-CCGS constellation achieved a sensitivity gain of 0.84 dB over traditional 3D constellations with Gray mapping.
• The 3D-CCGS-OAHD scheme provided a further gain of 1.29 dB compared to traditional 3D constellations.
• Experimental results validated the effectiveness of the proposed scheme in improving BER performance.

Conclusions:

• The proposed 3D-CCGS-OAHD constellation design offers significant performance improvements for short-distance optical communication systems.
• The novel approach demonstrates promising prospects for future research in high-performance optical data transmission.
• The combination of CCGS and OAHD effectively enhances constellation efficiency and data integrity.