A. Bultheel

Publications541
h-index31
Citations4,347
Highly Influential Citations128
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Generalized cross validation for wavelet thresholding
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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 to solve the Padé problem and the generalization to the vector M-Padé problem.
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Numerically robust transfer function modeling from noisy frequency domain data
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…
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Computation of the fractional Fourier transform
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Orthogonal Rational Functions
TLDR
The kernel functions are studied in detail in the context of discrete geometry, with particular attention to the role of LaSalle's inequality and its applications to discrete number theory.
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Empirical Bayes Approach to Improve Wavelet Thresholding for Image Noise Reduction
TLDR
This article introduces a geometrical prior model for configurations of important wavelet coefficients and combines this with local characterization of a classical threshold procedure into a Bayesian framework, which is incorporated into the conditional model.
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A lookahead algorithm for the solution of block toeplitz systems
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Pade´ techniques for model reduction in linear system theory: a survey
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Division algorithms for continued fractions and the Padé table
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WAILI: Wavelets with integer lifting
TLDR
This manual describes WAILI, a wavelet transform library, and the theoretical foundations behind the library, please refer to the report ITA-Wavelets-WP1.1.
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