Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function

DOI10.1007/s13226-017-0216-9zbMath1384.42008OpenAlexW2610158718MaRDI QIDQ1702404

Peng Zhang

Publication date: 28 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-017-0216-9

zbMATH Keywords

entropytime-frequency analysisPrice's theoremHeisenberg inequalitygeneralized dispersionlogarithmic Beckner's theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (3)

Uncertainty principle for the two sided quaternion windowed Fourier transform ⋮ Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform ⋮ Inequalities in time-frequency analysis

Cites Work

• A Mathematical Theory of Communication
• Variation diminishing Hankel transforms
• 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.
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Time-frequency localization for the short time Fourier transform
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Integral bounds for radar ambiguity functions and Wigner distributions
• Pitt's Inequality and the Uncertainty Principle
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