Linear canonical wavelet transform in quaternion domains

DOI10.1007/s00006-021-01142-7zbMath1470.42064OpenAlexW3171787557MaRDI QIDQ2047634

Aajaz A. Teali, Azhar Y. Tantary, Firdous Ahmad Shah

Publication date: 20 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00006-021-01142-7

zbMATH Keywords

wavelet transformuncertainty principlesquaternion Fourier transformlinear canonical transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integral operators (47G10)

Related Items (5)

Clifford-valued Stockwell transform and the associated uncertainty principles ⋮ Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform ⋮ Spacetime linear canonical transform and the uncertainty principles ⋮ On the fractional space-time Fourier transforms ⋮ Short-time special affine Fourier transform for quaternion-valued functions

Cites Work

• Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem
• On uncertainty principle for quaternionic linear canonical transform
• Two-dimensional directional wavelets and the scale-angle representation
• Advanced topics in Shannon sampling and interpolation theory
• The uncertainty principle: A mathematical survey
• A version of uncertainty principle for quaternion linear canonical transform
• A simplified proof of uncertainty principle for quaternion linear canonical transform
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Windowed special affine Fourier transform
• Linear canonical Stockwell transform
• Quaternion windowed linear canonical transform of two-dimensional signals
• The theory and use of the quaternion wavelet transform
• Ridgelet transform for quarternion-valued functions
• Quaternionic Stockwell transform
• Quaternion and Clifford Fourier Transforms and Wavelets
• Continuous quaternion fourier and wavelet transforms
• Wavelet Transforms and Their Applications
• Inequalities and local uncertainty principles
• The linear canonical wavelet transform on some function spaces
• Real Quaternionic Calculus Handbook
• Special affine wavelet transform and the corresponding Poisson summation formula
• Lecture Notes on Wavelet Transforms
• Linear Canonical Transformations and Their Unitary Representations

This page was built for publication: Linear canonical wavelet transform in quaternion domains