Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions
From MaRDI portal
Publication:5413841
DOI10.1080/00036811.2013.769135zbMath1290.94024arXiv1209.5698OpenAlexW1992300204WikidataQ58244818 ScholiaQ58244818MaRDI QIDQ5413841
Yi Wang, Tao Qian, Qiu-hui Chen, You Fa Li
Publication date: 2 May 2014
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5698
sampling theoremgeneralized sinc functionreproducing propertynon-bandlimited signalSobolev smoothnesstruncated errornoisy error
Related Items (3)
Shannon-type sampling for multivariate non-bandlimited signals ⋮ Robust multiscale analytic sampling approximation to periodic function and fast algorithm ⋮ Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples
Cites Work
- A Mathematical Theory of Communication
- The Bedrosian identity for functions analytic in a neighborhood of the unit circle
- Hermite-like interpolating refinable function vector and its application in signal recovering
- Polynomial decay rate for the dissipative wave equation
- A sampling theorem for non-bandlimited signals using generalized sinc functions
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms
- FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Error Analysis of Frame Reconstruction From Noisy Samples
- The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines
- Shannon sampling and function reconstruction from point values
This page was built for publication: Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions
