Tighter uncertainty principles based on quaternion Fourier transform

DOI10.1007/s00006-015-0579-0zbMath1338.42013OpenAlexW1039191508MaRDI QIDQ284570

Pei Dang, Yan Yang, Tao Qian

Publication date: 18 May 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0579-0

zbMATH Keywords

uncertainty principlesquaternion Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Operations with distributions and generalized functions (46F10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items

Uncertainty principles for the two-sided quaternion linear canonical transform ⋮ Novel uncertainty principles for two-sided quaternion linear canonical transform ⋮ A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms ⋮ A version of uncertainty principle for quaternion linear canonical transform ⋮ A simplified proof of uncertainty principle for quaternion linear canonical transform ⋮ Generalized uncertainty principles associated with the quaternionic offset linear canonical transform ⋮ Uncertainty principles for doubly periodic functions ⋮ The uncertainty principle for the two-sided quaternion Fourier transform ⋮ Pseudo‐differential operator in quaternion space ⋮ Tighter Heisenberg-Weyl type uncertainty principle associated with quaternion wavelet transform ⋮ Uncertainty principles related to quaternionic windowed Fourier transform ⋮ Uncertainty principles for images defined on the square ⋮ Quaternion windowed linear canonical transform of two-dimensional signals ⋮ Two-sided fractional quaternion Fourier transform and its application

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