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Blind frequency offset estimation method based on a minimum phase correction error for a full spectrum modulated NFDM

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    A new blind frequency offset estimation (FOE) method enhances spectral efficiency in full spectrum modulated nonlinear frequency division multiplexing (FS-NFDM) systems. This approach achieves high accuracy without training symbols, significantly reducing computational complexity and search times.

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    Area of Science:

    • Optical Communications
    • Signal Processing

    Background:

    • Full spectrum modulated nonlinear frequency division multiplexing (FS-NFDM) systems require efficient frequency offset estimation (FOE) to optimize spectral efficiency.
    • Existing methods may require training symbols or suffer from high computational complexity.

    Purpose of the Study:

    • To propose a novel blind frequency offset estimation (FOE) method for FS-NFDM systems.
    • To enhance spectral efficiency and reduce computational complexity in FOE.

    Main Methods:

    • A blind FOE approach utilizing minimum phase correction error for high accuracy.
    • An eigenvalue-shift method for coarse frequency offset (FO) search interval determination.
    • A one-dimensional optimization algorithm (golden section search and parabolic interpolation) for optimal FOE within the coarse interval.

    Main Results:

    • Achieved sub-MHz estimation accuracy without training symbols.
    • Demonstrated feasibility and reliability in back-to-back (BTB) and fiber transmission scenarios.
    • Reduced search complexity by hundreds of times compared to the grid search method.

    Conclusions:

    • The proposed blind FOE method significantly improves spectral efficiency in FS-NFDM systems.
    • The method is robust to amplified spontaneous emission noise and phase noise.
    • Offers a wide FOE range and high FOE accuracy with reduced computational load.