title: Cases where the linear canonical transform of a signal has compact support or is band-limited.
abstract: A signal may have compact support, be band-limited (i.e., its Fourier transform has compact support), or neither ("unbounded"). We determine conditions for the linear canonical transform of a signal having these properties. We examine the significance of these conditions for special cases of the linear canonical transform and consider the physical significance of our results.
authors.affiliation: School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Republic of Ireland.
authors.forename: John J
authors.initials: JJ
authors.lastname: Healy
authors.forename: John T
authors.initials: JT
authors.lastname: Sheridan