The Weyl correspondence in the linear canonical transform domain

Abstract

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 alongwith the admissible Wigner-Ville distribution function and Weyl transform in the LCT domain and discussed some useful result. Moreover, establish the relationship in between the Wigner-Ville distribution function and the Weyl transform in the LCT domain.