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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
Integral equations
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
DOI: 10.1007/s40314-021-01484-9
ISSN: 2238-3603
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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