A bandlimited CT signal xc(t) cannot also be timelimited, which is to say that a CT signal cannot have finite duration in both the time and frequency domains. Does the same situation hold for DT...

A bandlimited CT signal xc(t) cannot also be timelimited, which is to say that a CT signal cannot have finite duration in both the time and frequency domains. Does the same situation hold for DT signals? Hint: Consider sampling the bandlimited CT signal xc(t) = sinc(t/T ).