In passive fathometer processing, the presence of wavelets in the estimate of the medium's Green's function corresponds to the location of reflectors in the seabed; amplitudes are related to seabed properties. Bayesian methods have been successful in identifying reflectors that define layer interfaces. Further work, however, revealed that phase shifts are occasionally present in the wavelets and hinder accurate layer identification for some reflectors. With a Gibbs sampler that computes probability densities of reflector depths, strengths of the reflections, and wavelet phase shifts, the significance of phase shift modeling in successful estimation of reflectors and their strengths is demonstrated.
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