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Mathematical modeling of seismic data: Multiscale noise removal and recognition algorithm
In this thesis, we present a novel artifact removal algorithm based on a seismic acquisition artifact data model, in which the artifact pattern is postulated to be additive to the actual geological signals. The algorithm ...
System identification for robust control
In the design of a robust control system, one needs a nominal model together with a quantitative bound on the uncertainty that results from under-modeling and disturbances. In this thesis we do not intentionally seek a ...
Wavelet-based excitation representation and response determination of linear and nonlinear systems
The dissertation determines the evolutionary spectrum of non-stationary stochastic processes and describes the time-varying characteristics of the response of linear and nonlinear dynamic systems subject to non-stationary ...
The mathematical theory and applications of biorthogonal Coifman wavelet systems
In this thesis, we present a theoretical study of biorthogonal Coifman wavelet systems, a family of biorthogonal wavelet systems with vanishing moments equally distributed between scaling functions and wavelet functions. ...