Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
DOI10.1186/S13660-021-02737-1zbMath1506.42006OpenAlexW4205112522MaRDI QIDQ2129087
Publication date: 22 April 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-021-02737-1
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities for sums, series and integrals (26D15)
Cites Work
- New inequalities and uncertainty relations on linear canonical transform revisit
- Foundations of time-frequency analysis
- Wigner-Ville distribution associated with the linear canonical transform
- Windowed special affine Fourier transform
- Nazarov's uncertainty principles in higher dimension
- Some properties of windowed linear canonical transform and its logarithmic uncertainty principle
- Paley-Wiener theorems and uncertainty principles for the windowed linear canonical transform
- Inequalities and local uncertainty principles
- Uncertainty Principles for Linear Canonical Transform
- Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle
- Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions
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