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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 ...
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. ...