Gabor frames by sampling and periodization
From MaRDI portal
Publication:2463391
DOI10.1007/s10444-005-9003-yzbMath1123.42006OpenAlexW1966154270MaRDI QIDQ2463391
Publication date: 6 December 2007
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-005-9003-y
Related Items
Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups ⋮ Effective approach to calculate analysis window in infinite discrete Gabor transform ⋮ Time-domain characterization of multiwindow Gabor systems on discrete periodic sets ⋮ Unnamed Item ⋮ Directional frames for image recovery: multi-scale discrete Gabor frames ⋮ A rational-expansion-based method to compute Gabor coefficients of 2D indicator functions supported on polygonal domain ⋮ Time-frequency analysis on flat tori and Gabor frames in finite dimensions ⋮ Double preconditioning for Gabor frame operators: algebraic, functional analytic and numerical aspects ⋮ Gabor families in \(l^{2}(\mathbb{Z}^{d})\) ⋮ A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation ⋮ Super Gabor frames on discrete periodic sets ⋮ Using B-spline frames to represent solutions of acoustics scattering problems ⋮ Gabor shearlets ⋮ Digital Gabor filters with MRA structure ⋮ Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets ⋮ Multi-window gabor frames and oblique Gabor duals on discrete periodic sets ⋮ Discrete subspace multiwindow Gabor frames and their duals ⋮ A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil ⋮ Translation partitions of unity, symmetry properties, and Gabor frames ⋮ Vector-valued weak Gabor dual frames on discrete periodic sets ⋮ Sampling and periodization of generators of Heisenberg modules ⋮ The duals of Gabor frames on discrete periodic sets ⋮ Tight Gabor sets on discrete periodic sets ⋮ Designing Gabor windows using convex optimization ⋮ Gabor systems on discrete periodic sets ⋮ A 3D MODEL TO SIMULATE VIBRATIONS IN A LAYERED MEDIUM WITH STOCHASTIC MATERIAL PARAMETERS ⋮ Deformations and Balian-Low theorems for Gabor frames on the adeles ⋮ On the duality of discrete and periodic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new Segal algebra
- Derivation of the finite discrete Gabor transform by periodization and sampling
- Signal analytic proofs of two basic results on lattice expansions
- On rationally oversampled Weyl-Heisenberg frames
- Gabor frames and time-frequency analysis of distributions
- From continuous to discrete Weyl-Heisenberg frames through sampling
- Gabor analysis and algorithms. Theory and applications
- Duality and biorthogonality for Weyl-Heisenberg frames
- Gabor time-frequency lattices and the Wexler-Raz identity
- Foundations of time-frequency analysis
- Approximation of the Fourier transform and the dual Gabor window
- Advances in Gabor analysis
- Finite-dimensional approximation of the inverse frame operator
- Wiener’s lemma for twisted convolution and Gabor frames
- Embeddings of some classical Banach spaces into modulation spaces
- An introduction to frames and Riesz bases