,Data-Derived Estimation of Source Depth Using Vertical Line Array Data in Shallow Water

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Following the closure relation of normal mode theory,the source depth can be estimated approximately provided that the eigenfunction and the excited amplitude with correct polarity of each effective mode are given.Both the eigenfunction and the excited amplitude of each effective mode can be extracted using the data-derived method,which does not require a priori knowledge about ocean environment and source range but the sound pressure data observed by vertical line array.The polarities,undetermined by data-derived method,can be estimated using a cost function.Then,the source depth is determined by locating the peak of the object function defined by the closure relation with the correct polarities.Numerical simulation and experiment are carried out to illustrate the performance of this method.Long-range source depth estimation using a vertical line array (VLA) is desirable in practice.By finding the peak in the correlation function between the modeled acoustic field (for an assumed source depth) and the received pressure field at a VLA,the matched field processing technique (MFP) can be used to estimate source depth.[1-3] Assuming that the pressure field can be expressed as the summation of normal modes,the matched mode processing technique (MMP) can be used to estimate the source depth by matching the modal amplitudes between the modeled and the received fields.A matched bearing processing method can also be used to estimate the source depth in shallow water.
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