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- Title
A New Class of Linear Canonical Wavelet Transform.
- Authors
Gupta, Bivek; Verma, Amit K.; Cattani, Carlo
- Abstract
We define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark's uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give the Shapiro's mean dispersion theorem for the proposed LCWT.
- Subjects
WAVELET transforms; CANONICAL transformations; HEISENBERG uncertainty principle; WAVELETS (Mathematics); MATHEMATICS theorems
- Publication
Journal of Applied & Computational Mechanics, 2024, Vol 10, Issue 1, p64
- ISSN
2383-4536
- Publication type
Article
- DOI
10.22055/jacm.2023.44326.4196