Journal of Applied and Computational Mechanics
A New Class of Linear Canonical Wavelet Transform
Document Type : Research Paper
Authors
1 Department of Mathematics, Indian Institute of Technology Patna, Patna, 801106, India
2 Engineering School (DEIM), University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy
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.
Keywords
- Linear canonical transform
- linear canonical wavelet transform
- uncertainty principle
- Shapiro’s theorem
Main Subjects
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