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Physical Sciences and Mathematics

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University of Missouri, St. Louis

Dissertations

Theses/Dissertations

2015

Local spline interpolation

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Wavelet Analysis Of Non-Stationary Signals With Applications, Maria Dorothea Van Der Walt Apr 2015

Wavelet Analysis Of Non-Stationary Signals With Applications, Maria Dorothea Van Der Walt

Dissertations

The empirical mode decomposition (EMD) algorithm, introduced by N.E. Huang et al in 1998, is arguably the most popular mathematical scheme for non-stationary signal decomposition and analysis. The objective of EMD is to separate a given signal into a number of components, called intrinsic mode functions (IMF's), after which the instantaneous frequency (IF) and amplitude of each IMF are computed through Hilbert spectral analysis (HSA). On the other hand, the synchrosqueezed wavelet transform (SST), introduced by I. Daubechies and S. Maes in 1996 and further developed by I. Daubechies, J. Lu and H.-T. Wu in 2011, is first applied to …