Abstract
Doppler as a discriminant for a shallow water moving rigid scatterer from a single element receiver is considered here. A mono-static source-receiver configuration emits a single tone to ensonify a moving object. Inference regarding the depth and speed of the moving object are sought from the amplitude and Doppler of the direct arrival and the surface interacting arrival. Computation of the full posterior probability distribution of the returned amplitudes and frequencies given the received waveform and the prior distribution on target depth is made by Markov Chain Monte Carlo sampling. A Gibbs sampler is employed to construct the posterior joint density of all parameters. Conditional and marginal densities of the amplitudes are analytically tractable while those of the frequencies are made with an importance sampling approach. Confidence intervals are computed and employed to address depth discrimination.