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Post-FEC performance evaluation of optical SDM systems with mode-dependent loss
Optics Letters
|December 15, 2023
Summary
Mode-dependent loss in spatial division multiplexing (SDM) systems necessitates advanced forward-error correction (FEC). Applying low-density parity check (LDPC) FEC independently to each mode significantly improves bit error rate (BER) performance.
Area of Science:
- Optical communication systems
- Digital signal processing
- Information theory
Background:
- Spatial Division Multiplexing (SDM) systems are crucial for increasing optical network capacity.
- Mode-dependent loss (MDL) in SDM channels introduces random bit error rates (BER), impacting system design and forward-error correction (FEC) strategies.
- Traditional methods for calculating post-FEC BER are inadequate for MDL-impaired systems due to the random nature of pre-FEC BER.
Purpose of the Study:
- To analyze the bit error rate (BER) performance of spatial division multiplexing (SDM) systems affected by mode-dependent loss (MDL).
- To evaluate two distinct approaches for applying low-density parity check (LDPC) forward-error correction (FEC) in MDL-impaired SDM systems with optimal MIMO receivers.
- To determine the most effective LDPC-FEC application strategy for mitigating MDL impairments.
Main Methods:
- Numerical simulations were employed to analyze post-FEC BER performance.
- Two LDPC-FEC application schemes were simulated: independent application per mode and joint application across all modes.
- The study considered an optimal linear multiple-input multiple-output (MIMO) receiver architecture.
- Investigated simplifications in log-likelihood ratio (LLR) computations for efficiency.
Main Results:
- The probability density function (PDF) and coding gain of the pre-FEC BER are dependent on the signal-to-noise ratio (SNR) in MDL-impaired SDM systems.
- Applying LDPC-FEC independently to each spatial mode demonstrated superior performance compared to applying it jointly across all modes.
- The first LDPC-FEC application strategy significantly reduced the post-FEC BER.
Conclusions:
- Independent application of LDPC-FEC per mode is the optimal strategy for mitigating MDL impairments in SDM systems.
- The findings provide crucial insights for designing robust SDM systems and selecting appropriate FEC schemes.
- Further research into simplified LLR computations can enhance the practical implementation of these systems.

