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<math>H(s)= \frac {5}{s}</math> | <math>H(s)= \frac {5}{s}</math> | ||
+ | |||
+ | |||
+ | == part B == | ||
+ | |||
+ | <math>h(t) = \sum_{-\infty} ^\infty a_k H(s) | ||
+ | </math> |
Revision as of 18:39, 25 September 2008
part A
$ e^{st}\rightarrow h(t)\rightarrow H(S)e^{st} $
$ H(s) = \int_{-\infty}^\infty h(t)e^{-st}dt $
assume
$ h(t) = 5u(t-3) $
$ H(s) = 5\int_3^\infty e^{-st}dt $
$ H(s) = \frac{-5}{s} $
$ 4 to \infty $
$ H(s)= \frac {5}{s} $
part B
$ h(t) = \sum_{-\infty} ^\infty a_k H(s) $