UNSPECIFIED. (2003) Optimisation of hydrophone placement: a dynamical systems approach. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 14 (Part 4). pp. 369-386. ISSN 0956-7925

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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
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	EUROPEAN JOURNAL OF APPLIED MATHEMATICS
Publisher:	CAMBRIDGE UNIV PRESS
ISSN:	0956-7925
Date:	August 2003
Volume:	14
Number:	Part 4
Number of Pages:	18
Page Range:	pp. 369-386
Identification Number:	10.1017/S0956792503005175
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/9280

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