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An iterative implementation of rotated coordinates for inverse problems.

Tracianne B Neilsen1

  • 1Applied Research Laboratories, The University of Texas at Austin, P.O. Box 8029, Austin, Texas 78713-8029, USA.

The Journal of the Acoustical Society of America
|May 27, 2003
PubMed
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This study introduces a new method using rotated coordinates in simulated annealing to locate acoustic sources and map ocean seabed properties. This systematic decoupling technique improves inversion accuracy, especially for complex environmental parameters.

Area of Science:

  • Acoustic physics
  • Oceanography
  • Computational geophysics

Background:

  • Accurate localization of acoustic sources is crucial for underwater exploration and monitoring.
  • Characterizing ocean seabed parameters is essential for understanding acoustic propagation.

Purpose of the Study:

  • To develop a generalized inversion method for simultaneously determining acoustic source location and ocean seabed parameters.
  • To utilize the rotated coordinates technique within simulated annealing for enhanced inversion performance.

Main Methods:

  • A generalized inversion method employing the rotated coordinates technique within simulated annealing.
  • An iterative, multistep algorithm termed systematic decoupling using rotated coordinates.
  • Minimization of a cost function based on model-data cross-hydrophone spectra.

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Main Results:

  • The rotated coordinates technique effectively aids the inversion process by revealing parameter coupling and sensitivities.
  • Demonstration of a systematic decoupling algorithm for inverting multiple unknown parameters.
  • Successful application of the inversion method to simulated acoustic data.

Conclusions:

  • The proposed method offers a robust approach for acoustic source localization and ocean seabed characterization.
  • Systematic decoupling using rotated coordinates is particularly beneficial for complex inversion problems with numerous parameters.