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Multi-constraint Gerchberg-Saxton iteration algorithms for linearizing IM/DD transmission systems.

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    A new multi-constraint iterative algorithm (MCIA) improves optical field retrieval in intensity-modulation/direct-detection systems by accelerating convergence and enabling nonlinear-equalization-free detection, outperforming existing methods.

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    Area of Science:

    • Optical Communications
    • Signal Processing
    • Fiber Optic Transmission Systems

    Background:

    • Chromatic dispersion significantly impacts intensity-modulation/direct-detection (IM/DD) fiber transmission systems due to signal-signal beating interference (SSBI).
    • Gerchberg-Saxton (G-S) algorithms offer promising optical field recovery from double sideband signals but face challenges with slow convergence and local optimization.
    • Existing iterative algorithms like data-aided iterative algorithm (DIA) and decision-directed data-aided iterative algorithm (DD-DIA) have limitations in speed and accuracy.

    Purpose of the Study:

    • To propose and validate a novel multi-constraint iterative algorithm (MCIA) for enhanced optical field retrieval in IM/DD systems.
    • To accelerate convergence speed and achieve nonlinear-equalization-free detection.
    • To improve the performance of optical transmission systems affected by chromatic dispersion and SSBI.

    Main Methods:

    • Developed a multi-constraint iterative algorithm (MCIA) extending Gerchberg-Saxton-based linearized detection.
    • Integrated data-aided iterative algorithm (DIA) and decision-directed data-aided iterative algorithm (DD-DIA) principles.
    • Utilized redundant bits from channel coding to correct decision errors and enforce task function constraints, accelerating optical field retrieval.

    Main Results:

    • MCIA demonstrated a 1.5-dB reduction in received optical power (ROP) for 100-Gb/s PAM-4 over 50-km SSMF compared to DD-DIA at a symbol error rate (SER) of 2×10-2.
    • Achieved a 30% reduction in iteration count (30 iterations) for 100-Gb/s over 400-km SSMF transmission compared to DD-DIA.
    • Experimental validation showed a 1-dB ROP improvement over DD-DIA for 92-Gb/s PAM-4 over 50-km IM/DD systems.
    • MCIA with a linear equalizer reduced bit error rates (BERs) by over an order of magnitude compared to Volterra nonlinear equalization with only 52 iterations.

    Conclusions:

    • The proposed MCIA effectively accelerates optical field retrieval and enables nonlinear-equalization-free detection in IM/DD systems.
    • MCIA offers significant improvements in ROP, convergence speed, and SER/BER performance compared to existing iterative algorithms and nonlinear equalization techniques.
    • MCIA is a promising solution for enhancing the performance of future high-capacity optical fiber transmission systems.