Abstract
We study the inversion formula for recovering a signal from its windowed linear canonical transform. Different from the known inversion formula, where a double integral is invoked, we show that every signal can be recovered from its windowed linear canonical transform with a univariate integral. Moreover, we show that the integral involved is convergent almost everywhere on as well as in
for all
. Furthermore, we also obtain an inversion formula for functions in
with the method of Cesàro summability.
2010 Mathematics Subject Classification:
Disclosure statement
No potential conflict of interest was reported by the author(s).