Sampling theorems for signals periodic in the linear canonical transform domain

In [E. Margolis, Y.C. Eldar, IEEE Trans. Signal Process. 56 (2008) 2728-2745], the authors derived a practical reconstruction formula for bandlimited periodic signals. It was shown that every bandlimited periodic signal can be perfectly reconstructed from finitely many nonuniformly spaced samples taken over a period. In this paper, we generalize this result in a broader sense. We obtain a similar reconstruction formula for a large class of signals, whose linear canonical transforms are bandlimited periodic functions.