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− | \ s = | + | \ s = j\omega |
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+ | can be determined by taking the Laplace Transform of the system's unit impulse response, h(t). | ||
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+ | <math> | ||
+ | \laplace |
Revision as of 16:01, 26 September 2008
A continuous-time Linear Time-Invariant (LTI) system defined for the purpose of this page will be
$ \ w(t) = 5v(t) $
where v(t) is an input signal dependent on the parameter of time.
The unit impulse response of the system would then simply be
$ \ w(t) = 5\delta(t) $
and the system function H(s) of the system, where
$ \ s = j\omega $
can be determined by taking the Laplace Transform of the system's unit impulse response, h(t).
$ \laplace $