Line 16: Line 16:
  
 
<math>
 
<math>
\ s = a + j\omega
+
\ s = \sigma + j\omega
 
</math>
 
</math>

Revision as of 16:56, 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 = \sigma + j\omega $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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