Gabor windows supported on \([-1, 1]\) and compactly supported dual windows
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Publication:1045711
DOI10.1016/j.acha.2009.07.004zbMath1177.42029OpenAlexW2128678861MaRDI QIDQ1045711
Hong Oh Kim, Ole Christensen, Rae Young Kim
Publication date: 15 December 2009
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2009.07.004
Related Items (21)
On the Gabor frame set for compactly supported continuous functions ⋮ DUAL PAIRS OF GABOR FRAMES FOR TRIGONOMETRIC GENERATORS WITHOUT THE PARTITION OF UNITY PROPERTY ⋮ Gabor frames with trigonometric spline dual windows ⋮ Pseudo-differential operators and existence of Gabor frames ⋮ On Gabor frames generated by sign-changing windows and B-splines ⋮ Dual frames compensating for erasures -- a non-canonical case ⋮ Constructing pairs of dual bandlimited frame wavelets in \(L^{2}(\mathbb R^n)\) ⋮ Compactly supported multiwindow dual Gabor frames of rational sampling density ⋮ Gabor windows supported on \([ - 1, 1\) and dual windows with small support] ⋮ Gabor Frames: Characterizations and Coarse Structure ⋮ Sparse dual frames and dual Gabor functions of minimal time and frequency supports ⋮ On compactly supported dual windows of Gabor frames ⋮ Quantization and Finite Frames ⋮ TECHNIQUES FOR SMOOTHING AND SPLITTING IN THE CONSTRUCTION OF TIGHT FRAME GABOR WINDOWS ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Zak transforms and Gabor frames of totally positive functions and exponential B-splines ⋮ On a necessary condition for B-spline Gabor frames ⋮ Structure of nonstationary Gabor frames and their dual systems ⋮ Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces ⋮ Frame sets for a class of compactly supported continuous functions ⋮ Designing Gabor windows using convex optimization
Cites Work
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- On dual Gabor frame pairs generated by polynomials
- Pairs of dual Gabor frame generators with compact support and desired frequency localization
- Continuous and Discrete Wavelet Transforms
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
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