Optimisation of hydrophone placement: a dynamical systems approach
UNSPECIFIED. (2003) Optimisation of hydrophone placement: a dynamical systems approach. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 14 (Part 4). pp. 369-386. ISSN 0956-7925Full text not available from this repository.
Official URL: http://dx.doi.org/10.1017/S0956792503005175
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 , 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|
|Number of Pages:||18|
|Page Range:||pp. 369-386|
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