Right whale localisation using a downhill simplex inversion scheme

Francine Desharnais, Mathieu Côté, Colin J. Calnan, Gordon R. Ebbeson, David J. Thomson, Nicole E.B. Collison, Chris A. Gillard


The downhill simplex part of a hybrid nonlinear inversion procedure combining simulated annealing with a downhill simplex algorithm [S. E. Dosso and M.J. Wilmut, "An adaptive hybrid algorithm for geoacoustic inversion," Proceedings of the Fifth European Conference on Underwater Acoustics, 185-190 (2000)] was used to localize sounds from the workshop dataset. The procedure relies on relative arrival times for the direct propagation paths from the sources to each receiver. An eigenray model [S.E. Dosso, N.E.B. Collison, "Acoustic tracking of a freely drifting sonobuoy field," J. Acoust. Soc. Am. 111, 2166-2177 (2002)] was used to estimate travel time along the direct paths. The positions of the receivers and whales were obtained by inversion of estimated relative travel delays. It was found that the direct path assumption was a problem for the distances involved with the workshop dataset. This paper will discuss the solution of using a constant sound speed instead of actual sound speed profiles for localisation, as well as the error associated with arrival time inaccuracies. The error growth for multi-source cases will also be discussed.


Acoustic waves; Algorithms; Error analysis; Nonlinear systems; Problem solving; Simulated annealing; Datasets; Speed profiles; Travel delays; Whale localization

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