Efficient numerical methods in non-uniform sampling theory
From MaRDI portal
Publication:1347035
DOI10.1007/s002110050101zbMath0837.65148OpenAlexW2154625249MaRDI QIDQ1347035
Karlheinz Gröchening, Thomas Strohmer, Hans G. Feichtinger
Publication date: 21 May 1996
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002110050101
convergencenumerical resultsstopping criteriacondition numberextrapolationfast algorithmirregular samplesadaptive weightsToeplitz systemconjugate gradient accelerationreconstruction of band- limited signals
Trigonometric interpolation (42A15) Iterative numerical methods for linear systems (65F10) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples, Fast scattered data approximation with Neumann and other boundary conditions, Sampling-based Spotlight SAR Image Reconstruction from Phase History Data for Speckle Reduction and Uncertainty Quantification, Local reconstruction for sampling in shift-invariant spaces, Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications, Nonlinear projection recovery in digital inpainting for color image restoration, A sublinear algorithm for the recovery of signals with sparse Fourier transform when many samples are missing, On the computation of the polar FFT, Construction of frames for shift-invariant spaces, Finite Fourier frame approximation using the inverse polynomial reconstruction method, Scientific applications of iterative Toeplitz solvers, Direct inversion of the nonequispaced fast Fourier transform, Sampling and reconstruction in distinct subspaces using oblique projections, A new theoretical derivation of NFFT and its implementation on GPU, Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements, Nonuniform sampling for random signals bandlimited in the linear canonical transform domain, Spatially distributed sampling and reconstruction, Electron paramagnetic resonance image reconstruction with total variation and curvelets regularization, Learning Regularization Parameter-Maps for Variational Image Reconstruction Using Deep Neural Networks and Algorithm Unrolling, Choosing Function Spaces in Harmonic Analysis, Efficient calculations of 3-D FFTs on spiral contours, On the stability of unevenly spaced samples for interpolation and quadrature, Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates, Fast computation of spectral centroids, Marcinkiewicz–Zygmund Inequalities and Polynomial Approximation from Scattered Data onSO(3), A Novel Reconstruction Framework for Time-Encoded Signals with Integrate-and-Fire Neurons, On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate, A novel algorithm for computing autocorrelation of randomly sampled sequences, Reconstruction of bandlimited signal from its non-uniform integral samples, A derandomization approach to recovering bandlimited signals across a wide range of random sampling rates, Sampling theorems on bounded domains, Numerical stability of nonequispaced fast Fourier transforms, Frames for weighted shift-invariant spaces, A multi-level algorithm for the solution of moment problems, Using a natural deconvolution for analysis of perturbed integer sampling in shift-invariant spaces, Towards a fast, model-independent cosmic microwave background bispectrum estimator, Function Spaces Inclusions and Rate of Convergence of Riemann-Type Sums in Numerical Integration, The cardinal orthogonal scaling function and sampling theorem in the wavelet subspaces, Flexible Gabor-wavelet atomic decompositions for \(L^2\) -Sobolev spaces, A Practical Guide to the Recovery of Wavelet Coefficients from Fourier Measurements, Direct Inversion of the Three-Dimensional Pseudo-polar Fourier Transform, Sampling and Galerkin reconstruction in reproducing kernel spaces, Irregular sampling of band-limited functions on the sphere, Gaussian regularized periodic nonuniform sampling series, A randomized Kaczmarz algorithm with exponential convergence, Reconstructing signals with finite rate of innovation from noisy samples, Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules, Estimation of linear operators from scattered impulse responses, Numerical analysis of non-uniform sampling problem, Projective Fourier analysis for patterns, Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type, An exact solution to the Fourier transform of band-limited periodic functions with nonequispaced data and application to non-periodic functions
