Non-separable linear canonical wavelet transform
Date
2021
Authors
Srivastava, H.M.
Shah, Firdous A.
Garg, Tarun K.
Lone, Waseem Z.
Qadri, Huzaifa L.
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
This study aims to achieve an efficient time-frequency representation of higher-dimensional
signals by introducing the notion of a non-separable linear canonical wavelet transform in L^2(R^n).
The preliminary analysis encompasses the derivation of fundamental properties of the novel integral
transform including the orthogonality relation, inversion formula, and the range theorem. To extend
the scope of the study, we formulate several uncertainty inequalities, including the Heisenberg’s,
logarithmic, and Nazorav’s inequalities for the proposed transform in the linear canonical domain.
The obtained results are reinforced with illustrative examples.
Description
Keywords
non-separable linear canonical wavelet, symplectic matrix, non-separable linear canonical transform, uncertainty principle
Citation
Srivastava, H. M., Shah, F. A., Garg, T. K., Lone, W. Z., & Qadri, H. L. (2021). “Non-separable linear canonical wavelet transform.” Symmetry, 13(11), 2182. https://doi.org/10.3390/sym13112182