Pole-zero modeling of transient waveforms: a comparison of methods with application to acoustic signals
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Authors
May, Gary L.
Subjects
Pole-zero modeling
ARMA modeling
Transient modeling
Acoustic signal modeling
ARMA modeling
Transient modeling
Acoustic signal modeling
Advisors
Therrien, Charles W.
Date of Issue
1991-03
Date
March 1991
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The modeling of damped signals as the impulse response of a pole-zero system is considered for a broad range of pole-zero modeling algorithms. The goal is to obtain the best possible fit between the model impulse response and the modeled signal. Prony's method, the least squares modified Yule-Walker equations (LSMYWE), iterative prefiltering, and the Akakie maximum likelihood estimator are compared on known test sequences for a variety of model degrading situations (e.g., additive noise) to develop an understanding of which methods are most suitable for modeling real world signals. A correlation domain version of iterative filtering (including the correlation domain version). Modeling several laboratory generated short duration acoustic signals confirmed the robustness of LSMYWE and iterative prefiltering. It is shown that correlation domain iterative prefiltering outperforms standard iterative prefiltering when large model orders are required for accurate modeling. Shank's method was determined to be the most effective method of determining the zeros of a pole-zero model when a time domain match is required.
Type
Thesis
Description
Series/Report No
Department
Electrical and Computer Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
95 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.