Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling

DOI10.1137/040609586zbMath1118.42010OpenAlexW2125529598MaRDI QIDQ3446831

Thomas Strohmer, Jared Tanner

Publication date: 26 June 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040609586

zbMATH Keywords

oversamplinganalog-to-digital conversionbandlimited functionShannon's sampling theoremperiodic nonuniform samplingbunched samplingfast reconstructionGevrey class filterrecovery of bandlimited signalsroot-exponential accuracytranslates of atoms

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (11)

Local reconstruction for sampling in shift-invariant spaces ⋮ An \(L^2\)-stability estimate for periodic nonuniform sampling in higher dimensions ⋮ The Nyquist sampling rate for spiraling curves ⋮ Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements ⋮ Computing reconstructions from nonuniform Fourier samples: universality of stability barriers and stable sampling rates ⋮ Scattered data approximation by regular grid weighted smoothing ⋮ Gaussian regularized periodic nonuniform sampling series ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series ⋮ Multichannel interpolation of nonuniform samples with application to image recovery ⋮ On regularized Shannon sampling formulas with localized sampling ⋮ An exact solution to the Fourier transform of band-limited periodic functions with nonequispaced data and application to non-periodic functions

This page was built for publication: Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling