Efficient numerical methods in non-uniform sampling theory

HG Feichtinger, K Gr\" ochenig, T Strohmer - Numerische Mathematik, 1995 - Springer
We present a new``second generation" reconstruction algorithm for irregular sampling, i\@.
e\@. for the problem of recovering a band-limited function from its non-uniformly sampled …

[책][B] Matrix computations and semiseparable matrices: linear systems

R Vandebril, M Van Barel, N Mastronardi - 2008 - books.google.com
In recent years several new classes of matrices have been discovered and their structure
exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril …

[책][B] Modern sampling theory: mathematics and applications

JJ Benedetto, PJSG Ferreira - 2012 - books.google.com
Sampling is a fundamental topic in the engineering and physical sciences. This new edited
book focuses on recent mathematical methods and theoretical developments, as well as …

Some perspectives on the eigenvalue problem

DS Watkins - SIAM review, 1993 - SIAM
This expository paper explores the relationships among a number of algorithms for solving
eigenvalue problems, including the power method, subspace iteration, the QR algorithm …

Random sampling of multivariate trigonometric polynomials

RF Bass, K Gröchenig - SIAM journal on mathematical analysis, 2005 - SIAM
We investigate when a trigonometric polynomial p of degree M in d variables is uniquely
determined by its sampled values p (xj) on a random set of points xj in the unit cube (the" …

A discrete theory of irregular sampling

K Gröchenig - Linear Algebra and its applications, 1993 - Elsevier
We derive algorithms for the iterative reconstruction of discrete band-limited signals from
their irregular samples. They converge at a geometric rate, and all constants are computable …

[HTML][HTML] Numerical analysis of the non-uniform sampling problem

T Strohmer - Journal of computational and applied mathematics, 2000 - Elsevier
We give an overview of recent developments in the problem of reconstructing a band-limited
signal from nonuniform sampling from a numerical analysis view point. It is shown that the …

Passive vibration compensation in scanning white-light interferometry

S Tereschenko, P Lehmann, L Zellmer… - Applied Optics, 2016 - opg.optica.org
We present a passive vibration compensation approach in scanning white-light
interferometry (SWLI). A pointwise distance measuring interferometer (DMI) obtains fast …

Stability results for scattered data interpolation by trigonometric polynomials

S Kunis, D Potts - SIAM Journal on Scientific Computing, 2007 - SIAM
A fast and reliable algorithm for the optimal interpolation of scattered data on the torus T^d
by multivariate trigonometric polynomials is presented. The algorithm is based on a variant …

Optimally conditioned instrumental variable approach for frequency-domain system identification

R Van Herpen, T Oomen, M Steinbuch - Automatica, 2014 - Elsevier
Accurate frequency-domain system identification demands for reliable computational
algorithms. The aim of this paper is to develop a new algorithm for parametric system …