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Bayesian multiple-source localization in an uncertain ocean environment.

Authors
  • Dosso, Stan E1
  • Wilmut, Michael J
  • 1 School of Earth and Ocean Sciences, University of Victoria, Victoria, British Columbia V8W 3P6, Canada. [email protected] , (Canada)
Type
Published Article
Journal
The Journal of the Acoustical Society of America
Publication Date
Jun 01, 2011
Volume
129
Issue
6
Pages
3577–3589
Identifiers
DOI: 10.1121/1.3575594
PMID: 21682383
Source
Medline
License
Unknown

Abstract

This paper considers simultaneous localization of multiple acoustic sources when properties of the ocean environment (water column and seabed) are poorly known. A Bayesian formulation is developed in which the environmental parameters, noise statistics, and locations and complex strengths (amplitudes and phases) of multiple sources are considered to be unknown random variables constrained by acoustic data and prior information. Two approaches are considered for estimating source parameters. Focalization maximizes the posterior probability density (PPD) over all parameters using adaptive hybrid optimization. Marginalization integrates the PPD using efficient Markov-chain Monte Carlo methods to produce joint marginal probability distributions for source ranges and depths, from which source locations are obtained. This approach also provides quantitative uncertainty analysis for all parameters, which can aid in understanding of the inverse problem and may be of practical interest (e.g., source-strength probability distributions). In both approaches, closed-form maximum-likelihood expressions for source strengths and noise variance at each frequency allow these parameters to be sampled implicitly, substantially reducing the dimensionality and difficulty of the inversion. Examples are presented of both approaches applied to single- and multi-frequency localization of multiple sources in an uncertain shallow-water environment, and a Monte Carlo performance evaluation study is carried out.

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