Posterior inference of two closely spaced wave vectors for inference regarding the state of an acoustic target

Abstract

A bistatic sonar arrangement is employed to infer the depth, speed, and range of an oncoming submerged acoustic target from a continuous wave transmission. Surface and direct interacting paths associated with closely spaced angles and frequencies from the returned acoustic wave fronts are resolved. A Gibbs sampler is employed to construct the posterior joint density of all parameters taking full advantage of the analytic tractability of the amplitude and phase of the wave fronts while the ordered wave vectors, their angles and frequencies are sampled numerically by two-dimensional quantile function. The inferred density of target depth, range, and speed is accomplished by constructing a numerical inverse-transformation of the forward propagation model. Simulations are used to demonstrate the potential of sub-Rayleigh resolution accuracy at less than -10dB received SNR with an 9 element vertical array.

Reference

Barros, D.C. Anchieta, P. J. Gendron, “Posterior inference of two closely spaced wave vectors for inference regarding the state of an acoustic target,” 172^nd Meeting of the Acoustical Society of America, Honolulu, HI, November 2016.