Uniform and non-uniform sampling of bandlimited functions at minimal density with a few additional samples
DOI10.1007/s43670-022-00041-7zbMath1504.94080OpenAlexW4307959773MaRDI QIDQ2103084
Hussain Al-Hammali, Adel Faridani
Publication date: 13 December 2022
Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43670-022-00041-7
Riesz basisLagrange interpolationnon-uniform samplingShannon sampling theoremcomplete interpolating sequencesine type function
Trigonometric interpolation (42A15) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-equidistant sampling for bounded bandlimited signals
- Riesz bases of exponentials and sine-type functions
- The Paley-Wiener-Levinson theorem revisited
- A sampling theorem with nonuniform complex nodes
- Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
- General sampling theorem using contour integral.
- Interpolation of functions from generalized Paley--Wiener spaces
- NIST digital library of mathematical functions
- Sampling theory, a renaissance. Compressive sensing and other developments
- A simple pointview for Kadec-\(1/4\) theorem in the complex case
- On a class of sine-type functions
- Necessary density conditions for sampling an interpolation of certain entire functions
- Exponential bases in \(L^ 2\)
- System Approximations and Generalized Measurements in Modern Sampling Theory
- Sampling Expansions for Functions Band-Limited in the Distributional Sense
- Sampling Theory and Reproducing Kernel Hilbert Spaces
- Complete interpolating sequences, the discrete Muckenhoupt condition, and conformal mapping
- Five short stories about the cardinal series
- Sampling Bandlimited Functions of Polynomial Growth
- The Shannon sampling theorem—Its various extensions and applications: A tutorial review
- Nonuniform Sampling of Bandlimited Functions of Polynomial Growth
- Characterization of bandlimited functions and processes
- A sampling theorem for irregularly spaced sample points (Corresp.)
- A Two Channel System Approximation for Bandlimited Functions
- Sampling-50 years after Shannon
- On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
- Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions
- A sampling theorem by perturbing the zeros of a sine-type function
- Sampling: Theory and Applications
- Band-limited functions and the sampling theorem
- PERTURBATION OF NONHARMONIC FOURIER SERIES AND NONUNIFORM SAMPLING THEOREM
- On the Problem of Interpolation of Random Processes
- Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support
- Sampling series for band-limited generalized functions
- Interpolation in a Classical Hilbert Space of Entire Functions
This page was built for publication: Uniform and non-uniform sampling of bandlimited functions at minimal density with a few additional samples
