The wave packet transform in the framework of linear canonical transform

DOI10.1142/S0219691321500521zbMath1502.53120OpenAlexW3214642489MaRDI QIDQ5076026

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Publication date: 12 May 2022

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/s0219691321500521

zbMATH Keywords

waveletlinear canonical transformwave packet transformcanonical wavelet

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Canonical transformations in symplectic and contact geometry (53D22)

Cites Work

• Linear canonical transforms. Theory and applications
• The fractional wave packet transform
• Approximation of linear canonical wavelet transform on the generalized Sobolev spaces
• Eigenfunction wavelet transform
• Wavelets associated with representations of the affine Weyl–Heisenberg group
• Ten Lectures on Wavelets
• The linear canonical wavelet transform on some function spaces
• On the Range of Some Fractional Integrals
• Continuous wavelet transform involving canonical convolution
• Product of continuous fractional wave packet transforms
• Relations between fractional operations and time-frequency distributions, and their applications
• Linear Canonical Transformations and Their Unitary Representations
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