If f(t) is the step-response of a linear time invariant system, then its impulse response h(t) is given by:
(where ‘t’ indicates continuous time domain)1
\(h\left( t \right) = \smallint f\left( t \right)\)
2
\(h\left( t \right) = \frac{d}{{dt}}f\left( t \right)\)
3
\(h\left( t \right) = {\left[ {f\left( t \right)} \right]^2}\)
4
h(t) = f(t)