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Implementation of Bartlett matched-field processing using interpretable complex convolutional neural network.

Mingda Liu1, Haiqiang Niu1, Zhenglin Li2

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This study introduces an interpretable neural network for underwater source localization, offering physical meaning unlike traditional methods. The Bartlett complex convolutional neural network (BC-CNN) demonstrates equivalence to Bartlett matched-field processing (MFP).

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Area of Science:

  • Acoustics and Signal Processing
  • Artificial Intelligence
  • Oceanography

Background:

  • Neural networks show promise in underwater source localization, outperforming conventional matched-field processing (MFP).
  • However, current neural network approaches often lack physical interpretability, hindering understanding and trust.
  • Matched-field processing (MFP) is a traditional method for underwater acoustic source localization.

Purpose of the Study:

  • To design an interpretable complex convolutional neural network (CNN) for underwater source localization.
  • To provide clear physical meanings for the network's output and structure.
  • To establish the interpretability of the proposed network by relating its components to established physical models.

Main Methods:

  • Development of a Bartlett processor-based complex convolutional neural network (BC-CNN).
  • Analysis of the relationship between BC-CNN convolution weights and the replica pressures used in MFP.
  • Conducting simulation experiments with two distinct labeling strategies.

Main Results:

  • The designed BC-CNN offers clear physical interpretations for its operations and outputs.
  • A strong correlation was found between the convolution weights of the BC-CNN and the replica pressures of Bartlett MFP.
  • Simulation results confirmed the equivalence between the Bartlett MFP and the developed BC-CNN.

Conclusions:

  • The proposed BC-CNN enhances the interpretability of neural networks for underwater source localization.
  • This interpretable approach bridges the gap between data-driven methods and physics-based models.
  • The BC-CNN provides a physically meaningful and accurate alternative for underwater acoustic localization.