On the Numerical Computation of Certain Eigenfunctions of Time and Multiband Limiting
From MaRDI portal
Publication:2919994
DOI10.1080/01630563.2012.682133zbMath1261.94022OpenAlexW2001531584MaRDI QIDQ2919994
Joseph D. Lakey, Jeffrey A. Hogan
Publication date: 23 October 2012
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2012.682133
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Duration and bandwidth limiting. Prolate functions, sampling, and applications.
- Optimal non-linear models for sparsity and sampling
- Approximation of bandlimited functions
- Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit
- Eigenvalue distribution of time and frequency limiting
- Large mode number eigenvalues of the prolate spheroidal differential equation.
- Prolate spheroidal wave functions, an introduction to the Slepian series and its properties
- Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
- Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
- New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues
- Asymptotic behavior of the eigenvalues of certain integral equations. II
- Perfect reconstruction formulas and bounds on aliasing error in sub-Nyquist nonuniform sampling of multiband signals
- Prolate spheroidal wavefunctions, quadrature and interpolation
- On the density of phase-space expansions
- Sampling theory approach to prolate spheroidal wavefunctions
- A Theory for Sampling Signals From a Union of Subspaces
- Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
- Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
This page was built for publication: On the Numerical Computation of Certain Eigenfunctions of Time and Multiband Limiting