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Direct-detection mode-division multiplexing in modal basis using phase retrieval.

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    Mode-division multiplexing (MDM) boosts short-reach system capacity by using multiple modes. We show channel estimation for MIMO processing is a phase retrieval problem, with convex optimization outperforming other methods.

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    Area of Science:

    • Optical communications
    • Signal processing

    Background:

    • Mode-division multiplexing (MDM) enhances direct-detection short-reach system capacity by utilizing multiple spatial modes.
    • MDM necessitates multi-input multi-output (MIMO) signal processing to compensate for modal crosstalk.

    Purpose of the Study:

    • To reframe channel estimation for MIMO processing in MDM systems as a phase retrieval problem.
    • To propose and evaluate novel techniques for efficient channel estimation in MDM systems.

    Main Methods:

    • Formulating channel estimation as a phase retrieval problem.
    • Developing and comparing three estimation techniques: sparse training sequences, convex optimization (CO), and alternating minimization.
    • Demonstrating the effectiveness of the proposed methods through simulations or experiments.

    Main Results:

    • Channel estimation in MDM-MIMO systems can be effectively treated as a phase retrieval problem.
    • Convex optimization (CO) demonstrates superior performance compared to sparse training sequences and alternating minimization for channel estimation.
    • The proposed techniques offer efficient solutions for compensating modal crosstalk in MDM systems.

    Conclusions:

    • Phase retrieval offers a powerful framework for channel estimation in MDM systems.
    • Convex optimization is a highly effective technique for accurate channel estimation, enabling improved performance in MDM-based communication systems.
    • This work advances the practical implementation of high-capacity MDM short-reach systems.