Uncertainty principle for the two sided quaternion windowed Fourier transform

DOI10.1007/s11868-019-00283-5zbMath1442.42019OpenAlexW2917828045WikidataQ128319576 ScholiaQ128319576MaRDI QIDQ2174854

Emna Tefjeni, Kamel Brahim

Publication date: 27 April 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-019-00283-5

zbMATH Keywords

uncertainty principlequaternion Fourier transformquaternion windowed Fourier transformquaternion-Wigner transformradar 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) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform ⋮ Uncertainty principle for the two-sided quaternion windowed linear canonical transform ⋮ Tighter Heisenberg-Weyl type uncertainty principle associated with quaternion wavelet transform ⋮ Uncertainty principles for the windowed Opdam–Cherednik transform ⋮ On Heisenberg and local uncertainty principles for the multivariate continuous quaternion shearlet transform

Cites Work

• Unnamed Item
• Unnamed Item
• Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
• Relation between quaternion Fourier transform and quaternion Wigner-Ville distribution associated with linear canonical transform
• The Balian-Low theorem for the windowed quaternionic Fourier transform
• Windowed Fourier transform of two-dimensional quaternionic signals
• The uncertainty principle: A mathematical survey
• A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms
• Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function
• Cohen class of time-frequency representations and operators: boundedness and uncertainty principles
• On two-dimensional quaternion Wigner-Ville distribution
• Convolution theorems for quaternion Fourier transform: properties and applications
• An uncertainty principle for quaternion Fourier transform
• Quaternion Fourier transform on quaternion fields and generalizations
• Integral bounds for radar ambiguity functions and Wigner distributions
• Plancherel theorem and quaternion Fourier transform for square integrable functions
• Wigner distributions and ambiguity functions of 2-D quaternionic and monogenic signals

This page was built for publication: Uncertainty principle for the two sided quaternion windowed Fourier transform