Short time coupled fractional Fourier transform and the uncertainty principle
DOI10.1515/FCA-2021-0029zbMath1498.44006OpenAlexW3190304430MaRDI QIDQ2046079
Ahmed I. Zayed, Ramanathan Kamalakkannan, Rajakumar Roopkumar
Publication date: 17 August 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2021-0029
uncertainty principlefractional Fourier transformshort-time Fourier transformtwo-dimensional fractional Fourier transform
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
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Cites Work
- Unnamed Item
- A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution
- Namias' fractional Fourier transforms on \(L^ 2\) and applications to differential equations
- Foundations of time-frequency analysis
- On Namias's Fractional Fourier Transforms
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Ten Lectures on Wavelets
- Uncertainty principles invariant under the fractional Fourier transform
- Short term spectral analysis, synthesis, and modification by discrete Fourier transform
- Power filtering ofnth order in the fractional Fourier domain
- Two-dimensional fractional Fourier transform and some of its properties
- Short-Time Fractional Fourier Transform and Its Applications
- On the extension of the coupled fractional Fourier transform and its properties
- Novel Short-Time Fractional Fourier Transform: Theory, Implementation, and Applications
- An uncertainty principle for real signals in the fractional Fourier transform domain
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