Discrete octonion linear canonical transform associated with finite-length function

DOI10.1142/s0219887824502207MaRDI QIDQ6625045

Pengyu Wang, Wenbiao Gao

Publication date: 28 October 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

uncertainty principleconvolution theoremlinear canonical transformoctonion linear canonical transformdiscrete octonion Fourier transform

Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Title not available (Why is that?)
• Discrete octonion Fourier transform and the analysis of discrete 3-D data
• Octonion offset 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
• The unified theory of \(n\)-dimensional complex and hypercomplex analytic signals
• Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula
• Paley-Wiener theorems and uncertainty principles for the windowed linear canonical transform
• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
• Discrete quaternion Fourier transform and properties
• Octonion short‐time linear canonical transform
• Linear canonical curvelet transform and the associated Heisenberg-type inequalities
• Octonion short-time Fourier transform for time-frequency representation and its applications

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