Uncertainty principle for the two-sided quaternion windowed Fourier transform

DOI10.1080/10652469.2019.1572138zbMath1444.42011OpenAlexW2912491312MaRDI QIDQ4629074

Emna Tefjeni, Brahim Kamel

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1080/10652469.2019.1572138

zbMATH Keywords

uncertainty principlequaternion Fourier transformquaternion windowed Fourier transformquaternion Wigner transformthe radar quaternion ambiguity function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (12)

Quaternion linear canonical S-transform and associated uncertainty principles ⋮ Uncertainty principles for the two-sided quaternion linear canonical transform ⋮ Uncertainty principle for the two-sided quaternion windowed linear canonical transform ⋮ Characterization of rationally sampled quaternionic dual Gabor frames ⋮ Quaternionic Gabor frame characterization and the density theorem ⋮ Uncertainty principles related to quaternionic windowed Fourier transform ⋮ A class of quaternionic Fourier orthonormal bases ⋮ On uncertainty principle for the two-sided quaternion linear canonical transform ⋮ Sharp inequalities for geometric Fourier transform and associated ambiguity function ⋮ Two-dimensional quaternion linear canonical transform: properties, convolution, correlation, and uncertainty principle ⋮ Linear canonical wave packet transform ⋮ On Heisenberg and local uncertainty principles for the multivariate continuous quaternion shearlet transform

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• Plancherel theorem and quaternion Fourier transform for square integrable functions
• Wigner distributions and ambiguity functions of 2-D quaternionic and monogenic signals
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