The Wigner-Ville distribution associated with the quaternion offset linear canonical transform

DOI10.1007/s10476-019-0007-0zbMath1449.42007arXiv1901.01097OpenAlexW2996552227MaRDI QIDQ2288347

Youssef El Haoui, Saïd Fahlaoui, M. El Kassimi

Publication date: 17 January 2020

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01097

zbMATH Keywords

Wigner-Ville distributionPoisson summation formulalinear canonical transformPlancherel identityoffset linear canonical transformHeisenberg uncertaintyLieb's inequalityquaternionic transformtwo-sided quaternion Fourier transform

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) Harmonic analysis in several variables (42B99)

Related Items (7)

Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform ⋮ Quaternion offset linear canonical transform in one-dimensional setting ⋮ The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation ⋮ Miyachi's theorem for the quaternion Fourier transform ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform ⋮ Erratum to: ``The Wigner-Ville distribution associated with the quaternion offset linear canonical transform

Cites Work

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• Integral bounds for radar ambiguity functions and Wigner distributions
• Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
• Linear Canonical Transformations and Their Unitary Representations

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