Gabor frames and directional time-frequency analysis

DOI10.1016/j.acha.2007.09.004zbMath1258.42032OpenAlexW2072157326MaRDI QIDQ930735

Loukas Grafakos, Christopher Sansing

Publication date: 1 July 2008

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2007.09.004

zbMATH Keywords

time-frequency analysisGabor analysisridgeletsframe theory

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (19)

Directional short-time Fourier transform of distributions ⋮ Directional Stockwell transform in L²(ℝⁿ) ⋮ Spectral theorems associated with the directional short-time Fourier transform ⋮ On common fundamental domains ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Directional short-time Fourier transform ⋮ DIRECTIONAL TIME–FREQUENCY ANALYSIS VIA CONTINUOUS FRAMES ⋮ Gabor frame decomposition of evolution operators and applications ⋮ Analysis of time-frequency scattering transforms ⋮ Lifting of quaternionic frames to higher dimensions with partial ridges ⋮ Discrete directional Gabor frames ⋮ Directional time-frequency analysis and directional regularity ⋮ Gabor Analysis for Imaging ⋮ Rotationally invariant time-frequency scattering transforms ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ Uncertainty principles associated with the directional short-time Fourier transform ⋮ The Radon transform intertwines wavelets and shearlets ⋮ Unnamed Item

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Continuity properties of the Gabor frame operator
• Harmonic analysis of neural networks
• The Radon transform.
• Gabor frames and time-frequency analysis of distributions
• From continuous to discrete Weyl-Heisenberg frames through sampling
• Gabor analysis and algorithms. Theory and applications
• The art of frame theory
• Foundations of time-frequency analysis
• The Mathematics of Computerized Tomography
• Harmonic Analysis in Phase Space. (AM-122)
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• Radon’s inversion formulas
• Weyl-Heisenberg frames, translation invariant systems and the Walnut representation
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