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Titlebook: Wavelet Transforms and Time-Frequency Signal Analysis; Lokenath Debnath Book 2001 Springer Science+Business Media New York 2001 Fourier an

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Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methodession for the boundary terms with .. degrees of freedom, we show that it fits the optimal convergence rate of the coupling Galerkin methods, while the number of nonzero entries in the corresponding stiffness matrices is considerably smaller than N...
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The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transformtainty relations which indicate how the local spread in time and frequency are related at a particlar time–frequency point. In addition, we obtain general results for the time, scale, and frequency moments of the scalogram in terms of the moments of the signal and mother wavelet.
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The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transformtainty relations which indicate how the local spread in time and frequency are related at a particlar time–frequency point. In addition, we obtain general results for the time, scale, and frequency moments of the scalogram in terms of the moments of the signal and mother wavelet.
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Wavelet Frames: Multiresolution Analysis and Extension Principlesavelet frames. The theory of Frame Multiresolution Analysis as introduced in [.] is presented in a streamlined form, and the main result of the theory is completed. The interplay between redundancy and robustness in frame expansions is illustrated by a simple example. We then restate Ron and Shen’s
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Wavelet Frames: Multiresolution Analysis and Extension Principlesavelet frames. The theory of Frame Multiresolution Analysis as introduced in [.] is presented in a streamlined form, and the main result of the theory is completed. The interplay between redundancy and robustness in frame expansions is illustrated by a simple example. We then restate Ron and Shen’s
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Convergence Rates of Multiscale and Wavelet Expansionsthe supremum error norm. Some of the results are proved without assuming the existence of a scaling function in the multiresolution analysis. Necessary and sufficient conditions are given for convergence at given rates in terms of behavior of Fourier transforms of the wavelet or scaling function nea
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