Uncertainty principles associated with quaternionic linear canonical transforms

DOI10.1002/mma.3724zbMath1407.94037OpenAlexW2283477130MaRDI QIDQ5739247

Jian-Yu Ou, Kit Ian Kou, João Pedro Morais

Publication date: 15 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3724

zbMATH Keywords

quantum mechanicsquaternionic linear canonical transformquaternion analysisquaternionic Fourier transformhypercomplex functionsuncertainly principleGaussian quaternionic signal

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (16)

Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis ⋮ Novel uncertainty principles for two-sided quaternion linear canonical transform ⋮ A version of uncertainty principle for quaternion linear canonical transform ⋮ Quaternion and fractional Fourier transform in higher dimension ⋮ Uncertainty principle for the two-sided quaternion windowed linear canonical transform ⋮ Donoho-Stark's uncertainty principle for the quaternion Fourier transform ⋮ Quaternion offset linear canonical transform in one-dimensional setting ⋮ Theories and applications associated with biquaternion linear canonical transform ⋮ Uncertainty principles associated with quaternion linear canonical transform and their estimates ⋮ Hyperbolic linear canonical transforms of quaternion signals and uncertainty ⋮ Envelope detection using generalized analytic signal in 2D QLCT domains ⋮ Two-sided Fourier transform in Clifford analysis and its application ⋮ Plancherel theorem and quaternion Fourier transform for square integrable functions ⋮ Uncertainty principles for the quaternion linear canonical transform ⋮ Uncertainty principles in linear canonical domains ⋮ Quaternionic short-time fractional Fourier transform

Cites Work

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• Uncertainty principles invariant under the fractional Fourier transform
• Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
• An uncertainty principle for real signals in the fractional Fourier transform domain
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• CLIFFORD ALGEBRA Cl_3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS
• Linear Canonical Transformations and Their Unitary Representations
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