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Updated: Dec 21, 2025

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
Published on: March 20, 2017
Degenerated look-up table-based perturbative fiber nonlinearity compensation algorithm for probabilistically shaped
A novel algorithm compensates for fiber nonlinearity in optical communications. The homomorphic approach significantly reduces computational complexity for probabilistically shaped signals, enhancing performance and efficiency.
Area of Science:
- Optical Communications
- Digital Signal Processing
- Nonlinear Optics
Background:
- Intra-channel fiber nonlinearity poses a significant challenge in high-speed optical communication systems.
- Existing nonlinearity compensation algorithms often face limitations in flexibility and computational complexity, especially for advanced modulation formats like probabilistically shaped signals.
Purpose of the Study:
- To propose and evaluate a degenerated look-up table-based perturbative nonlinearity compensation (DLUT-PNC) algorithm.
- To introduce a homomorphic DLUT-PNC (HDLUT-PNC) scheme for further complexity reduction.
- To assess the performance and efficiency of these algorithms for probabilistically shaped (PS) signals.
Main Methods:
- Development of the DLUT-PNC algorithm for intra-channel fiber nonlinearity compensation.
- Introduction of the HDLUT-PNC scheme by leveraging homomorphic properties to minimize computational resources.
- Numerical simulations and experimental verification using high-baudrate PS-16QAM and PS-32QAM signals over extended transmission distances.
Main Results:
- The DLUT-PNC algorithm demonstrates flexible complexity optimization for PS signals.
- The HDLUT-PNC scheme significantly reduces table input size, look-up operations, and complex multipliers compared to DLUT-PNC.
- Simulations show effective compensation for 70-GBaud PS-16QAM over 1200-km and 56-Gbaud PS-32QAM over 800-km.
- Experimental validation confirms the performance of DLUT-PNC for PS-16QAM over 432-km.
Conclusions:
- The proposed DLUT-PNC and HDLUT-PNC algorithms offer effective solutions for intra-channel fiber nonlinearity compensation.
- HDLUT-PNC provides substantial computational advantages, making it suitable for advanced optical communication systems.
- The algorithms are validated for high-performance, high-baudrate probabilistically shaped signals, paving the way for future optical network advancements.
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