University of Notre Dame
Browse
CoveyES122006.pdf (954.13 kB)

A wavelet method for estimating damping in oscillating systems

Download (954.13 kB)
thesis
posted on 2006-12-15, 00:00 authored by Eric S Covey
A combination of multiresolution analysis (MRA) and a modified Schroeder integration method is tested as a means of identifying unknown oscillating signals in time series data, and estimating signal decay. Significant signals can be detected by applying a single-value criterion to each level of the MRA decomposition of the time series. Alternately, subject to certain constraints, significant signals can be detected during the modified Schroeder integration step by applying a reverse-integrated criterion vector to the reverse-integrated decibel transformation of each level of the MRA decomposition. Given that the modified Schroeder integration procedure failed to produce a better estimate of signal decay than other currently available procedures, the single-value criterion method of identifying significant signals is retained as the simpler and more flexible of the two methods of determining signal significance.

History

Date Modified

2017-06-02

Defense Date

2006-10-25

Research Director(s)

Steven M. Boker

Committee Members

Julie M. Braungart-Rieker Gitta Lubke Cindy S. Bergeman Scott E. Maxwell

Degree

  • Doctor of Philosophy

Degree Level

  • Doctoral Dissertation

Language

  • English

Alternate Identifier

etd-12152006-023641

Publisher

University of Notre Dame

Program Name

  • Psychology

Usage metrics

    Dissertations

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC