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Multi-frequency sparse Bayesian learning for robust matched field processing.

Kay L Gemba1, Santosh Nannuru1, Peter Gerstoft1

  • 1Marine Physical Laboratory of the Scripps Institution of Oceanography, University of California at San Diego, La Jolla, California 92093-0238, USA.

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Sparse Bayesian learning (SBL) offers robust and efficient source localization for matched field processing. This advanced method outperforms traditional processors, even with realistic environmental mismatches.

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Area of Science:

  • Signal Processing
  • Acoustics
  • Machine Learning

Background:

  • Matched field processing (MFP) is crucial for source localization in complex environments.
  • Traditional processors like Bartlett and MVDR face challenges with environmental mismatch and multiple sources.
  • Need for robust and computationally efficient adaptive processors in underwater acoustics.

Purpose of the Study:

  • To derive and evaluate a multi-snapshot, multi-frequency sparse Bayesian learning (SBL) processor for MFP.
  • To compare SBL performance against established processors (Bartlett, MVDR, WNC) under realistic conditions.
  • To assess SBL's robustness to environmental mismatch and its ability to handle complex source scenarios.

Main Methods:

  • Development of a multi-snapshot, multi-frequency sparse Bayesian learning (SBL) processor.
  • Simulation of a two-source scenario with realistic mismatches (array tilt, data/replica vector misalignment).
  • Performance comparison using metrics like localization accuracy and robustness against Bartlett, MVDR, and WNC processors.

Main Results:

  • SBL demonstrated adaptive behavior, effectively localizing a weaker source amidst a stronger one.
  • SBL exhibited significant robustness to environmental mismatch.
  • SBL achieved improved localization performance compared to Bartlett, MVDR, and WNC processors.
  • SBL automatically determines sparsity, offering an interpretable ambiguity surface.

Conclusions:

  • Sparse Bayesian learning (SBL) provides a computationally efficient and high-performance solution for adaptive and robust matched field processing.
  • SBL is a practical alternative for applications demanding reliable source localization in challenging underwater environments.
  • The SBL processor's ability to handle mismatch and complex source configurations makes it a valuable advancement in signal processing.