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Related Experiment Video

Updated: Jan 8, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Low-complexity probabilistically shaped coded modulation based on multi-stage distribution matching for coherent

Hao Shi, Jian Zhao, Lingguo Cao

    Optics Express
    |December 19, 2025
    PubMed
    Summary
    This summary is machine-generated.

    A novel multiplication-free algorithm simplifies signal distribution matching using bit-level operations. This method enhances optical signal-to-noise ratio and reduces complexity compared to traditional techniques.

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    Area of Science:

    • Optical Communications
    • Digital Signal Processing

    Background:

    • Probabilistic shaping (PS) is crucial for optimizing optical communication systems.
    • Classical distribution matching methods like constant composition distribution matching (CCDM) involve complex arithmetic coding and multiplication operations.

    Purpose of the Study:

    • To introduce and validate a novel, multiplication-free multi-stage distribution-matching (MSDM) algorithm.
    • To demonstrate the advantages of MSDM over conventional methods in terms of complexity and performance.

    Main Methods:

    • The proposed MSDM algorithm decomposes symbol probability into bit probabilities.
    • It utilizes simple bit-level logical operations instead of multiplication-intensive arithmetic coding.
    • The algorithm was experimentally validated for probabilistic shaping in optical systems.

    Main Results:

    • The MSDM-based PS-16QAM signal achieved a 1.28 dB optical signal-to-noise ratio gain compared to uniform distribution signals.
    • The proposed scheme demonstrated significantly lower computational complexity than CCDM.
    • MSDM alleviated the error propagation effect in the inverse distribution matching process.

    Conclusions:

    • The multiplication-free MSDM algorithm offers an efficient and high-performance alternative for probabilistic shaping.
    • MSDM provides a practical solution for reducing complexity in optical communication systems.
    • This approach enhances signal shaping while mitigating common drawbacks of existing methods.