Wen-shin Lee
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View article: Multiscale matrix pencils for separable reconstruction problems
Multiscale matrix pencils for separable reconstruction problems Open
View article: Analysing Textures with Exponential Analysis
Analysing Textures with Exponential Analysis Open
View article: Antenna Position Estimation Through Sub-Sampled Exponential Analysis of Harmonically Related Input Signals
Antenna Position Estimation Through Sub-Sampled Exponential Analysis of Harmonically Related Input Signals Open
Accurate placement of elements in large antenna arrays is a difficult and costly process. We explore the use of the validated exponential analysis (VEXPA) technique that was previously formulated to solve a direction-of-arrival (DOA) estim…
View article: Antenna Position Estimation Through Subsampled Exponential Analysis of Signals in the Near Field
Antenna Position Estimation Through Subsampled Exponential Analysis of Signals in the Near Field Open
In a previous article we explored the use of a subsampled exponential analysis algorithm to find the antenna-element positions in a large irregular planar array after the installation phase. The application requires an unmanned aerial vehi…
View article: Multiscale matrix pencils for separable reconstruction problems
Multiscale matrix pencils for separable reconstruction problems Open
The nonlinear inverse problem of exponential data fitting is separable since the fitting function is a linear combination of parameterized exponential functions, thus allowing to solve for the linear coefficients separately from the nonlin…
View article: Parametric spectral analysis: scale and shift
Parametric spectral analysis: scale and shift Open
We introduce the paradigm of dilation and translation for use in the spectral analysis of complex-valued univariate or multivariate data. The new procedure stems from a search on how to solve ambiguity problems in this analysis, such as al…
View article: VEXPA: Validated EXPonential Analysis through regular sub-sampling
VEXPA: Validated EXPonential Analysis through regular sub-sampling Open
View article: Enhancement of String Tension Using Thin-Film Metallic Glass Coatings
Enhancement of String Tension Using Thin-Film Metallic Glass Coatings Open
Inspired by the application of metallic glass sheet as face material for improving the performance of golf clubs, the present work was aimed to explore the application of thin-film metallic glass (TFMG) coatings for enhancing the performan…
View article: How to get high resolution results from sparse and coarsely sampled data
How to get high resolution results from sparse and coarsely sampled data Open
View article: Superresolution underwater acoustics
Superresolution underwater acoustics Open
We explore the application of some recent results in exponential analysis and sparse interpolation to underwater acoustics, in a joint effort from marine engineers and computational mathematicians. The fact that, in practice, the sampling …
View article: Validated exponential analysis for harmonic sounds
Validated exponential analysis for harmonic sounds Open
In audio spectral analysis, the Fourier method is popular because of its stability and its low computational complexity. It suffers however from a time-frequency resolution trade off and is not particularly suited for aperiodic signals suc…
View article: Multivariate exponential analysis from the minimal number of samples
Multivariate exponential analysis from the minimal number of samples Open
View article: A hybrid Fourier-Prony method
A hybrid Fourier-Prony method Open
The FFT algorithm that implements the discrete Fourier transform is considered one of the top ten algorithms of the $20$th century. Its main strengths are the low computational cost of $\mathcal{O}(n \log n$) and its stability. It is one o…
View article: A SHORT-TIME PRONY METHOD FOR THE DETECTION OF TRANSIENTS
A SHORT-TIME PRONY METHOD FOR THE DETECTION OF TRANSIENTS Open
Many parametric spectral methods are based on the classical algorithm of the French engineer G. de Prony for exponential analysis.A drawback of this method is that it cannot take into consideration any discontinuities due to the starting a…
View article: Sparse Modelling and Multi-exponential Analysis (Dagstuhl Seminar 15251)
Sparse Modelling and Multi-exponential Analysis (Dagstuhl Seminar 15251) Open
The research fields of harmonic analysis, approximation theory and computer algebra are seemingly different domains and are studied by seemingly separated research communities. However, all of these are connected to each other in many ways…
View article: On tensor decomposition, sparse interpolation and Padé approximation
On tensor decomposition, sparse interpolation and Padé approximation Open
What is the connection of tensor decomposition in multilinear algebra with exponential analysis from signal processing, sparse interpolation from computer algebra, Gaussian quadrature from numerical analysis, and Padé approximation theory?…
View article: Numerical reconstruction of convex polytopes from directional moments
Numerical reconstruction of convex polytopes from directional moments Open