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Perturbation dimensional reduction theory assisted low complexity convolutional neural network equalizer for optical

Lu Han, Yongjun Wang, Haipeng Yao

    Optics Express
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    This study introduces a novel data dimensionality reduction method and a complex-valued CNN equalizer to minimize complexity in optical communication systems. The approach significantly reduces feature units and equalizer complexity, enhancing transmission efficiency.

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    Area of Science:

    • Optical Communications
    • Artificial Intelligence
    • Signal Processing

    Background:

    • Modern optical communication systems require efficient equalization to mitigate nonlinear impairments.
    • Balancing high equalization performance with minimized system complexity is a key research challenge.

    Purpose of the Study:

    • To propose a novel, low-complexity data dimensionality reduction (DR) method for neural network-based equalizers.
    • To develop an efficient complex-valued CNN (CvCNN) equalizer for optical fiber communication systems.
    • To reduce the complexity of neural network equalizers while maintaining performance.

    Main Methods:

    • A DR method exploiting spatial symmetry of perturbation coefficients for low-complexity feature map construction.
    • Design of a CvCNN equalizer using single-channel complex-valued feature maps.
    • Numerical studies and experimental verification in a 20 GBaud PDM 64-QAM system.

    Main Results:

    • The DR feature map achieved an 82.64% reduction in effective feature units.
    • The CvCNN equalizer reduced space and time complexity by 66.90% and 70.55%, respectively.
    • Performance was validated through Q-factor comparisons and complexity analyses.

    Conclusions:

    • The proposed DR method and CvCNN equalizer offer a significant reduction in complexity for optical communication systems.
    • This approach effectively mitigates nonlinear impairments with improved efficiency.
    • The methodology provides a viable solution for developing low-complexity, high-performance equalizers.