The Weyl correspondence in the linear canonical transform domain
Filomat, Tome 37 (2023) no. 22, p. 7431

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The main objective of the paper is to generalize and enrich the Weyl transform by introducing the Weyl correspondence in the linear canonical transform (LCT) domain. In this paper, we propose the linear canonical-Wigner transform in harmonic analysis of phase space along with the admissible Wigner-Ville distribution (WVD) and Weyl transform in the LCT domain and discuss some useful results. Further we establish the relationship between the Wigner-Ville distribution and the Weyl transform in the LCT domain.
DOI : 10.2298/FIL2322431K
Classification : 43A32, 34B20, 81S30
Keywords: Linear canonical transform, Weyl transform, Wigner-Ville distribution, Linear canonical-Wigner transform
Amit Kumar; Akhilesh Prasad; Pankaj Jain. The Weyl correspondence in the linear canonical transform domain. Filomat, Tome 37 (2023) no. 22, p. 7431 . doi: 10.2298/FIL2322431K
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