Entropic Uncertainty Relations of the Wigner-Ville Distribution in Linear Canonical Transform Domain

To investigate the uncertainty principle problems associated with the linear canonical transform, a new kind of entropic uncertainty relation for Wigner-Ville distribution associated with the linear canonical transform domain was derived. Firstly, the Pitt inequality in the linear canonical transform domain was generalized. And then the entropic uncertainty relation for Wigner-Ville distribution associated with the linear canonical transform domain was derived based on the Pitt inequality. The derived results can be taken as the generalization of the classical entropic uncertainty principle in the linear canonical transform domain, and lay the foundation for the theory and application investigation of linear canonical transform.