  As a time-shifted and frequency-modulated version of the linear canonical
transform (LCT), the offset linear canonical transform (OLCT) provides a more
general framework of most existing linear integral transforms in signal
processing and optics. To study simultaneous localization of a signal and its
OLCT, the classical Heisenberg's uncertainty principle has been recently
generalized for the OLCT. In this paper, we complement it by presenting another
two uncertainty principles, i.e., Donoho-Stark's uncertainty principle and
Amrein-Berthier-Benedicks's uncertainty principle, for the OLCT. Moreover, we
generalize the short-time LCT to the short-time OLCT. We likewise present
Lieb's uncertainty principle for the short-time OLCT and give a lower bound for
its essential support.
