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Optimisation of hydrophone placement: a dynamical systems approach
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UNSPECIFIED (2003) Optimisation of hydrophone placement: a dynamical systems approach. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 14 (Part 4). pp. 369-386. doi:10.1017/S0956792503005175 ISSN 0956-7925.
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Official URL: http://dx.doi.org/10.1017/S0956792503005175
Abstract
Tools from equivariant bifurcation theory are applied to the problem of the optimisation of horizontal planar arrays to minimise array noise gain in a 2D isotropic noise field. We specifically use the performance measure derived in the paper by Hayward [3], which is invariant under suitable actions of the symmetry group S-n x O(2), although we would expect most suitable measures to inherit such a symmetry due to the physical properties of the array. An analysis of bifurcations in the presence of this symmetry provides a list of array configurations which one would expect to (locally) optimise performance. This analysis provides a systematic way to search through 2n-dimensional phase-space, via low dimensional searches, for solutions. We provide an example of the technique for an array with seven hydrophones and a maximum aperture size of 3m.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | EUROPEAN JOURNAL OF APPLIED MATHEMATICS | ||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||
ISSN: | 0956-7925 | ||||
Official Date: | August 2003 | ||||
Dates: |
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Volume: | 14 | ||||
Number: | Part 4 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 369-386 | ||||
DOI: | 10.1017/S0956792503005175 | ||||
Publication Status: | Published |
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