A New Wavelet Transform and Its Localization Operators
In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields. Then we define and study a class of pseudo-differential operators known as time-frequency (or localization) operators and we give criteria for its boundedness and Schatten class properties.
Authors
- Saifallah Ghobber (ORCID: https://orcid.org/0000-0003-0606-7305)
- Hatem Mejjaoli (ORCID: https://orcid.org/0000-0001-8387-0033)
Institutions
- Taibah University (SA)
- King Faisal University (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2025-05-26
- DOI
- https://doi.org/10.3390/math13111771
- Citations
- 4
- Primary Topic
- Image and Signal Denoising Methods
- Type
- article
- Field-Weighted Citation Impact
- 5.10
Funders
- King Faisal University