Local reconstruction of a function from a non-uniform sampled data

DOI10.1016/j.apnum.2008.03.038zbMath1180.65183OpenAlexW2070912133MaRDI QIDQ999084

S. Sivananthan, Ramakrishnan Radha

Publication date: 30 January 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.038

zbMATH Keywords

waveletshift invariant spaceHermite functionnon-uniform samplingdigital data processingscaling identity

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Numerical methods for trigonometric approximation and interpolation (65T40) Sampling theory in information and communication theory (94A20)

Related Items (7)

Improved sampling and reconstruction in spline subspaces ⋮ Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\) ⋮ Random sampling in reproducing kernel subspaces of \(L^p(\mathbb{R}^n)\) ⋮ Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators ⋮ A local weighted average sampling and reconstruction theorem over shift invariant subspaces ⋮ Local reconstruction method and voice system ⋮ Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators

Cites Work

• Unnamed Item
• Unnamed Item
• Solution of a tridiagonal operator equation
• Local reconstruction method and voice system
• Matrix computations.
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Necessary density conditions for sampling an interpolation of certain entire functions
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values
• Ten Lectures on Wavelets
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces

This page was built for publication: Local reconstruction of a function from a non-uniform sampled data