Response Times
for Complex Poles
Complex poles will have components in the response that are of the form:
When trying to estimate
response time in these systems the important thing is often the exponentially
decaying modulating envelope for the sinusoid. That's the e-t/t
term.
-
The envelope decays to
5%
of the original value in 3
time constants.
-
The envelope decays to
1%
of the original value in 4.6
time constants.