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Updated: Mar 16, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Capacity achieving nonbinary LDPC coded non-uniform shaping modulation for adaptive optical communications.

Changyu Lin, Ding Zou, Tao Liu

    Optics Express
    |August 10, 2016
    PubMed
    Summary
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    This study introduces novel nonbinary coded modulation with non-uniform shaping for adaptive optical networks. The new design offers significant symbol signal-to-noise ratio (SNR) gains over traditional methods.

    Area of Science:

    • Digital Communications
    • Information Theory
    • Optical Networking

    Background:

    • Traditional coded modulation often uses power-of-two constellation sizes.
    • Adaptive optical networks require efficient and high-performance modulation schemes.
    • Nonbinary LDPC codes offer potential for improved coding gain.

    Purpose of the Study:

    • To propose a mutual information-inspired nonbinary coded modulation design with non-uniform shaping.
    • To investigate the performance of 5-QAM, 7-QAM, and 9-QAM constellations in adaptive optical networks.
    • To jointly optimize non-uniform shaping and LDPC code rates for enhanced system performance.

    Main Methods:

    • Design of non-uniform 5-QAM, 7-QAM, and 9-QAM signal constellations.
    • Joint consideration of constellation shaping and nonbinary (NB) LDPC code rates.

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  • Analysis of coding performance and system SNR performance.
  • Comparison with traditional LDPC-coded schemes like star-8-QAM and QPSK.
  • Main Results:

    • The proposed NB LDPC-coded 9-QAM achieves over 2dB gain in symbol SNR compared to traditional LDPC-coded star-8-QAM.
    • NB LDPC-coded 5-QAM and 7-QAM outperform traditional LDPC-coded QPSK.
    • Joint optimization of shaping and code rate yields superior performance at equivalent SNR.

    Conclusions:

    • The proposed nonbinary coded modulation with non-uniform shaping offers significant performance improvements for adaptive optical networks.
    • This approach enables better spectral efficiency and coding gain compared to conventional methods.
    • The use of matched NB LDPC codes further enhances the overall system efficiency and reliability.