Time-frequency localization for the short time Fourier transform

DOI10.1080/10652469.2015.1092439zbMath1334.42022OpenAlexW1821515378MaRDI QIDQ2790229

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Publication date: 3 March 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1092439

zbMATH Keywords

uncertainty principleshort time Fourier transformreproducing kernel Hilbert spaceorthonormal sequenceShapiro's theoremtime-frequency localizationHeisenberg inequalitydispersion principleumbrella theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other transforms and operators of Fourier type (43A32)

Related Items (4)

Hardy's theorem for the continuous wavelet transform ⋮ Inequalities in time-frequency analysis ⋮ Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function ⋮ Logvinenko-Sereda type theorems for the short time Fourier transform

Cites Work

• Unnamed Item
• Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
• Uncertainty principles for orthonormal sequences
• Annihilating sets for the short time Fourier transform
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Integral bounds for radar ambiguity functions and Wigner distributions

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