CLIFFORD ALGEBRA Cl3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS

DOI10.1142/S0219691307002166zbMath1197.42019OpenAlexW1998134128MaRDI QIDQ5386800

Mawardi Bahri, Eckhard M. S. Hitzer

Publication date: 14 May 2008

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691307002166

zbMATH Keywords

uncertainty principleClifford Fourier transformsimilitude groupClifford Gabor waveletsClifford wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Clifford algebras, spinors (15A66)

Related Items (16)

Stronger uncertainty principles for hypercomplex signals ⋮ An uncertainty principle for quaternion Fourier transform ⋮ Continuous quaternion fourier and wavelet transforms ⋮ On uncertainty principle for quaternionic linear canonical transform ⋮ Clifford valued shearlet transform ⋮ Real Clifford windowed Fourier transform ⋮ Uncertainty principles for images defined on the square ⋮ Two-dimensional quaternion wavelet transform ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Clifford algebra-valued wavelet transform on multivector fields ⋮ Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\) ⋮ Uncertainty principles associated with quaternionic linear canonical transforms ⋮ Clifford wavelet transform and the uncertainty principle ⋮ Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces ⋮ Discrete uncertainty principle in quaternion setting and application in signal reconstruction ⋮ Color image analysis by quaternion-type moments

Cites Work

• Unnamed Item
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• Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\)
• Clifford wavelets, singular integrals, and Hardy spaces
• Quaternion Fourier transform on quaternion fields and generalizations
• The theory and use of the quaternion wavelet transform
• Benchmarking of Three-Dimensional Clifford Wavelet Functions
• Complete discrete 2-D Gabor transforms by neural networks for image analysis and compression
• Uncertainty inequalities for the continuous wavelet transform

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