Directional short-time Fourier transform

DOI10.1016/j.jmaa.2012.09.053zbMath1256.42050OpenAlexW2022660731MaRDI QIDQ1931540

Hossein Hosseini Giv

Publication date: 14 January 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.053

zbMATH Keywords

inversion formulashort-time Fourier transformdirectional short-time Fourier transformcontinuous ridgelet transformGabor ridge functionridgelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (11)

Directional short-time Fourier transform of distributions ⋮ Directional Stockwell transform in L²(ℝⁿ) ⋮ Spectral theorems associated with the directional short-time Fourier transform ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Discrete directional Gabor frames ⋮ Directional time-frequency analysis and directional regularity ⋮ Directional short-time Fourier transform and quasiasymptotics of distributions ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ Characterisation of wave front sets by the Stockwell transform ⋮ Uncertainty principles associated with the directional short-time Fourier transform

Cites Work

• Gabor frames and directional time-frequency analysis
• Harmonic analysis of neural networks
• The Radon transform.
• Foundations of time-frequency analysis
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
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