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Generalized cross validation for wavelet thresholding
TLDR
This paper investigates the possibility of using GCV in a noise reduction algorithm, based on wavelet-thresholding, where the threshold can be seen as a kind of smoothing parameter. Expand
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A general module theoretic framework for vector M-Padé and matrix rational interpolation
TLDR
A general module theoretic framework is used to solve several classical interpolation problems and generalizations thereof in a unified way. Expand
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Computation of the fractional Fourier transform
In this note we make a critical comparison of some matlab programs for the digital computation of the fractional Fourier transform that are freely available and we describe our own implementationExpand
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Orthogonal Rational Functions
List of symbols Introduction 1. Preliminaries 2. The fundamental spaces 3. The kernel functions 4. Recurrence and second kind functions 5. Para-orthogonality and quadrature 6. Interpolation 7.Expand
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Numerically robust transfer function modeling from noisy frequency domain data
TLDR
Using vector orthogonal polynomials as basis functions for the representation of the rational form of a linear time invariant system, in frequency domain identification problems, it is shown that the notorious numerical ill conditioning of these maximum likelihood problems can be overcome completely. Expand
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Empirical Bayes Approach to Improve Wavelet Thresholding for Image Noise Reduction
TLDR
We introduce a geometrical prior model for configurations of important wavelet coefficients and combine this with local characterization of a classical threshold procedure into a Bayesian framework. Expand
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The computation of non-perfect Padé-Hermite approximants
TLDR
We describe a simple and efficient algorithm to generate a number of polynomial vectors which can be used to describe all possible solutions for a type I Padé-Hermite problem. Expand
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Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise
TLDR
Denoising algorithms based on wavelet thresholding replace small wavelet coefficients by zero and keep or shrink the coefficients with absolute value above the threshold. Expand
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Pade´ techniques for model reduction in linear system theory: a survey
Abstract Techniques of Pade approximation and continued fractions have been used often in model reduction problems. An extensive bibliography on this topic is given. The ideas are explained for theExpand
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WAILI: Wavelets with integer lifting
This manual describes WAILI, a wavelet transform library. For more information about the theoretical foundations behind the library, please refer to ‘Wavelet Transforms Using the Lifting Scheme’Expand
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