Sequential bayesian filtering for spatial arrival time estimation

Locating and tracking a source in an ocean environment as well as estimating environmental parameters of a sound propagation medium is of utmost importance in underwater acoustics. Matched field processing is often the method of choice for the estimation of such parameters. This approach, based on full field calculations, is computationally intensive and sensitive to assumptions on the structure of the environment. As an alternative, methods that use only select features of the acoustic field for source localization and environmental inversion have been proposed. The focus here is on inversion using arrival times of identified paths within recorded time-series. After a short study of a linearization techniques employing such features and numerical issues on their implementation, we turn our attention to the need for accurate extraction of arrival times for accurate estimation. We develop a particle filtering approach that treats arrival times as "targets", dynamically modeling their "location" at arrays of spatially separated receivers. Using Monte Carlo simulations, we perform an evaluation of our method and compare it to conventional Maximum Likelihood (ML) estimation. The comparison demonstrates an advantage in using the proposed approach, which can be employed as a pre-inversion tool for minimization and quantification of uncertainty in arrival time estimation.

Name thesis:degree_name

Doctor of Philosophy in Mathematical Sciences - (Ph.D.)

Discipline thesis:degree_discipline

Mathematical Sciences

Year

2011

Author dc:creator

• Jain, Rashi

Contributors dc:contributor

• Eliza Zoi-Heleni Michalopoulou
• Ali Abdi
• Manish Chandra Bhattacharjee

• Particle filtering
• Uncertainty
• Regularized inversion
• Arrival time estimation
• Monte Carlo Markov chain
• Mathematics

Repository record dc:identifier

https://digitalcommons.njit.edu/dissertations/281

OAI identifier oai:identifier

oai:digitalcommons.njit.edu:dissertations-1336