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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Particle filtering for frequency estimation from acoustic time-series in dispersive media
Author: Aunsri, Nattapol
View Online: njit-etd2014-004
(xvi, 106 pages ~ 4.1 MB pdf)
Department: Department of Mathematical Sciences
Degree: Doctor of Philosophy
Program: Mathematical Sciences
Document Type: Dissertation
Advisory Committee: Michalopoulou, Eliza Zoi-Heleni (Committee chair)
Abdi, Ali (Committee member)
Dhar, Sunil Kumar (Committee member)
Horntrop, David James (Committee member)
Luke, Jonathan H.C. (Committee member)
Date: 2014-01
Keywords: Frequency estimation
Particle filtering
Bayesian filtering
Sequential Monte Carlo
Underwater acoustics
Signal processing
Availability: Unrestricted

Acoustic signals propagating in the ocean carry information about geometry and environmental parameters within the propagation medium. Accurately retrieving this information leads us to effectively estimate parameters that are of utmost importance in environmental studies, climate monitoring, and defense. This dissertation focuses on the development of sequential Bayesian filtering methods to obtain accurate esti­mates of instantaneous frequencies using Short Term Fourier Transforms within the acoustic field measured at an array of hydrophones, which can be used in a subsequent step for the estimation of propagation related parameters. We develop a particle filter to estimate these frequencies along with modal amplitudes, variance, model order. In the first part of our work, we consider a Gaussian model for the error in the data measurements, which has been the standard approach in instantaneous frequency estimation to date. We here design a filter that identifies the true structure of the data errors and implement a χ2 model to capture this structure appropriately. We demonstrate both with synthetic and real data that our approach is superior to the conventional method, especially for low Signal-to-Noise-Ratios.

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