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Type of Document Dissertation Author Covey, Eric S Author's Email Address ecovey@nd.edu URN etd-12152006-023641 Title A wavelet method for estimating damping in oscillating systems Degree Doctor of Philosophy Department Psychology Advisory Committee
Advisor Name Title Steven M. Boker Committee Chair Cindy S. Bergeman Committee Member Gitta Lubke Committee Member Julie M. Braungart-Rieker Committee Member Scott E. Maxwell Committee Member Keywords
- Schroeder integration
- dynamical systems
- wavelet analysis
- quantitative psychology
Date of Defense 2006-10-25 Availability unrestricted Abstract 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.
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