Title page for ETD etd-052699-144606


Type of Document Master's Thesis
Author Lusk, Craig Perry
URN etd-052699-144606
Title Wavelet Analysis and its Application to Modulation Characterization
Degree Master of Science
Department Engineering Mechanics
Advisory Committee
Advisor Name Title
Hajj, Muhammad R. Committee Chair
Hajj, Muhammad R. Committee Chair
Hendricks, Scott L. Committee Member
Hendricks, Scott L. Committee Member
Ragab, Saad A. Committee Member
Ragab, Saad A. Committee Member
Keywords
  • Hydrodynamic Stability
  • Mixing Layers
  • Modulation
  • Wavelets
  • Waves
  • Hydrodynamic Stability
  • Mixing Layers
  • Modulation
  • Wavelets
  • Waves
Date of Defense 1999-05-07
Availability unrestricted
Abstract
Wavlet analysis and its advantages in determining time-varying characteristics are discussed. The Morlet wavelet is defined and procedures for choosing its parameters are described. The recovery of modulation characteristics using the Morlet wavelet is demonstrated. Hydrodynamic linear stability is reviewed and its application to steady and unsteady mixing layers is discussed. Modulation effects are demonstrated by using the magnitude and phase of the wavelet coefficients. The time-varying characteristics of the most unstable modes are determined using the real part of the wavelet coefficients. It is found that mean flow unsteadiness increases the amplitude and phase modulation of the mixing layers. Synchronized variations of the two most unstable modes, the fundamental and the subharmonic, are also observed in the region of subharmonic growth. In a second application of wavelet analysis, the phase lag of the wavelet coefficients is used to determine the phase relation between the fundamental and the subharmonic in acoustically forced mixing layers. The results show that selective forcing affects the time-variations of the phase relation. In a third application, the magnitude and phase of the wavelet coefficients are used to decompose propagating waves measured at a single location.
Files
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  LUSK1.PDF 23.39 Mb 01:48:16 00:55:41 00:48:43 00:24:21 00:02:04
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