The wigner-ville distribution in the linear canonical transform domain

The linear canonical transform (LCT) is a powerful tool for signal processing and optics. It is, therefore, worthwhile and interesting to consider the Wigner-Ville distribution (WVD) in the LCT domain. In this paper, we propose a new definition for the WVD associated with the instantaneous autocorrelation function in the LCT domain, which we name as WL, and also obtain some properties of WL. As a further generalization of WL, a new definition for the WVD associated with the offset linear canonical transform (OLCT) is given. Finally, we have achieved some applications of the new WVD in the LCT and OLCT domain to verify the derived theory.