Line 16: Line 16:
  
 
<math>
 
<math>
\ s = \sigma + j\omega
+
\ s = j\omega
 
</math>
 
</math>
 +
 +
can be determined by taking the Laplace Transform of the system's unit impulse response, h(t).
 +
 +
<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 $

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