Octonion short‐time linear canonical transform

DOI10.1002/MMA.8513zbMath1529.42006OpenAlexW4283645629MaRDI QIDQ6141840

Bing-Zhao Li, Wen-Biao Gao

Publication date: 20 December 2023

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

Full work available at URL: https://doi.org/10.1002/mma.8513

zbMATH Keywords

uncertainty principleoctonionoctonion linear canonical transformoctonion short-time linear canonical transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem
• Cauchy-Riemann operators in octonionic analysis
• A simplified proof of uncertainty principle for quaternion linear canonical transform
• Uncertainty principles for the quaternion linear canonical transform
• Discrete octonion Fourier transform and the analysis of discrete 3-D data
• A variation on uncertainty principles for quaternion linear canonical transform
• A generalization of the octonion Fourier transform to 3-D octonion-valued signals: properties and possible applications to 3-D LTI partial differential systems
• A new convolution operator for the linear canonical transform with applications
• The unified theory of \(n\)-dimensional complex and hypercomplex analytic signals
• Quaternion windowed linear canonical transform of two-dimensional signals
• Plancherel theorems of quaternion Hilbert transforms associated with linear canonical transforms
• A framework of linear canonical transform on pseudo‐differential operators and its application
• Truncation error estimates for two‐dimensional sampling series associated with the linear canonical transform
• Uncertainty principles for the two‐sided offset quaternion linear canonical transform
• Convolution and Multichannel Sampling for the Offset Linear Canonical Transform and Their Applications
• Uncertainty principle for the two-sided quaternion windowed linear canonical transform

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