Abstract

An algorithm has been developed to calculate a ship's closest point of approach (CPA) to a stationary single hydrophone. The algorithm first tracks a selected spectral component of radiated ship's noise, yielding the component's Doppler-time history. Using this information initial estimates are then made of ship's speed (v), CPA, time at CPA (t0), component frequency at CPA (f0) and the Doppler shift. The frequency-time history is fitted with a curve using the Gauss—Newton nonlinear least square method. Final estimates of v, CPA, fo and t0 result as Δv, ΔCPA, Δf0 and Δt0 tend to zero. This technique is applied to recording of a supertanker passage.

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