Uncertainty principles for Wigner-Ville distribution associated with the linear canonical transforms

DOI10.1155/2014/470459zbMath1472.42009OpenAlexW2146214471WikidataQ59038512 ScholiaQ59038512MaRDI QIDQ1724187

Bing-Zhao Li, Yong-Gang Li, Hua Fei Sun

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/470459

zbMATH Keywords

fractional Fourier transformHeisenberg uncertainty principle of harmonic analysisWigner-Ville distributions

Mathematics Subject Classification ID

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)

Related Items (9)

Logarithmic uncertainty relations for odd or even signals associate with Wigner-Ville distribution ⋮ Novel uncertainty principles for two-sided quaternion linear canonical transform ⋮ The algebra of \(2D\) Gabor quaternionic offset linear canonical transform and uncertainty principles: the algebra of \(2D\) Gabor quaternionic offset LCT and uncertainty principles ⋮ Uncertainty principle for free metaplectic transformation ⋮ Special Fourier integral operators of types I and II with function-variable symbols: definition, relation to metaplectic transform, and Heisenberg's uncertainty principles ⋮ Generalized Balian-Low theorem associated with the linear canonical transform ⋮ Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains ⋮ Quaternion windowed linear canonical transform of two-dimensional signals ⋮ Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

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