Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/31162
Title: | A new convolution operator for the linear canonical transform with applications |
Author: | Castro, Luís P. Goel, Navdeep Silva, Anabela S. |
Keywords: | Linear canonical transform Convolution Integral equations Filtering |
Issue Date: | Apr-2021 |
Publisher: | Springer |
Abstract: | The linear canonical transform plays an important role in engineering and many applied fields, as it is the case of optics and signal processing. In this paper, a new convolution for the linear canonical transform is proposed and a corresponding product theorem is deduced. It is also proved a generalized Young's inequality for the introduced convolution operator. Moreover, necessary and sufficient conditions are obtained for the solvability of a class of convolution type integral equations associated with the linear canonical transform. Finally, the obtained results are implemented in multiplicative filters design, through the product in both the linear canonical transform domain and the time domain, where specific computations and comparisons are exposed. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/31162 |
DOI: | 10.1007/s40314-021-01484-9 |
ISSN: | 2238-3603 |
Publisher Version: | https://link.springer.com/content/pdf/10.1007/s40314-021-01484-9.pdf |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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PostprintCastroGoelSilva.pdf | 1.61 MB | Adobe PDF | View/Open |
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