I just simulated the impulse response in matlab for a first order IIR low pass filter using the command impulse (tf[50],[1 50]). The output seems to be lasting for a finite period. Can anybody clarify?
A digital system has limited resolution. As long as the variations are within +/-0.5 LSB around the current value you will see no change.
What else do you expect?
Btw: Similar with an analog system ... the limit here is "noise".
Thanks for pointing it out. It was a typo. It was actually impulse of (c2d(continuous function)). Just to know more, how far will the response last. In matlab, there isn't any resolution issues.