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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Attention-aided partial bidirectional RNN-based nonlinear equalizer in coherent optical systems.

Yifan Liu, Victor Sanchez, Pedro J Freire

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    |October 15, 2022
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    This summary is machine-generated.

    This study introduces an attention-aided nonlinear equalizer for optical communication systems, significantly reducing complexity while maintaining performance. The novel design enhances signal equalization efficiency in high-speed fiber optic networks.

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    Area of Science:

    • Optical communication systems engineering
    • Signal processing
    • Machine learning applications in telecommunications

    Background:

    • Bidirectional recurrent neural networks (BRNNs) are used for nonlinear equalization in optical systems.
    • Attention mechanisms can improve the interpretability and efficiency of neural network models.
    • High-baud-rate systems like DP-64QAM face significant nonlinear impairments.

    Purpose of the Study:

    • To develop a novel, complexity-reduced nonlinear equalizer for coherent optical communication systems.
    • To investigate the contribution of input symbols and hidden representations using attention mechanisms.
    • To evaluate the performance of an attention-aided partial BRNN equalizer using LSTM and GRU units.

    Main Methods:

    • Implementation of a partial BRNN-based nonlinear equalizer incorporating an attention mechanism.
    • Evaluation using Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) cells.
    • Testing in a single-channel DP-64QAM 30Gbaud system over 20 × 50 km standard single-mode fiber (SSMF).
    • Comparison of computational complexity (real multiplications per symbol - RMpS) and Q-factor performance against a baseline equalizer.

    Main Results:

    • The attention-aided equalizer achieved a complexity reduction of approximately 56.16% in RMpS.
    • Maintained comparable Q-factor performance to the baseline equalizer.
    • Outperformed the baseline by 0.2dB to 0.25dB at optimal transmit power and 0.3dB to 0.45dB in more nonlinear regions for similar complexity.

    Conclusions:

    • The proposed attention-aided partial BRNN equalizer offers a significant reduction in computational complexity.
    • It achieves competitive or superior performance compared to traditional equalizers, especially under nonlinear conditions.
    • This approach provides an efficient solution for nonlinear equalization in advanced optical communication systems.