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Block-length aware enumerative sphere shaping for probabilistic shaping optical transmission system.

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    |November 14, 2024
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    Block-length aware enumerative sphere shaping (BA-ESS) improves probabilistic shaping (PS) for optical communications. This new method enhances transmission performance, especially for short block lengths, outperforming existing techniques like ESS and OESS.

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    Area of Science:

    • Optical communications
    • Digital signal processing

    Background:

    • Probabilistic shaping (PS) is crucial for high-capacity optical systems.
    • Current methods like Constant Composition Distribution Matching (CCDM) suffer rate loss at short block lengths.

    Purpose of the Study:

    • Introduce a novel block-length aware enumerative sphere shaping (BA-ESS) algorithm.
    • Optimize PS for high-order modulation formats across varying block lengths.

    Main Methods:

    • Developed BA-ESS with static (BA-ESS-S) and dynamic (BA-ESS-D) modes.
    • BA-ESS-S for short blocks, BA-ESS-D for long blocks (real-time coding).
    • Validated via 28 GBaud PS-64QAM simulations and 8 GBaud PS-64QAM experiments.

    Main Results:

    • BA-ESS demonstrated significant OSNR gains over ESS and Optimum ESS (OESS).
    • At block length 40, BA-ESS showed 0.88 dB (vs. ESS) and 0.34 dB (vs. OESS) OSNR gains.
    • Experimental results at block length 20 yielded a 0.97 dB OSNR gain over ESS.

    Conclusions:

    • BA-ESS effectively reduces rate loss for short block lengths in PS.
    • The adaptive mode switching enhances overall transmission efficiency and reduces storage complexity.
    • BA-ESS represents a significant advancement for PS in high-order modulation formats.