(Unit Impulse)
(Unit Impulse)
Line 8: Line 8:
 
<math> H(s) = \int^{\infty}_{1}e^{-jw_0 t} dt\,</math><br>
 
<math> H(s) = \int^{\infty}_{1}e^{-jw_0 t} dt\,</math><br>
  
<math> H(s) = \frac{1}{jw_0}<br>
+
<math> H(s) = \frac{1}{jw_0}</math><br>
  
  

Revision as of 18:41, 25 September 2008

Unit Impulse

$ h(t) = u(t-1) \, $

$ H(s) = \int^{\infty}_{-\infty} u(t-1)e^{-jw_0 t} dt\, $

$ H(s) = \int^{\infty}_{1}e^{-jw_0 t} dt\, $

$ H(s) = \frac{1}{jw_0} $


Repsonse of the CT system

$ x(t) = cos({\frac{2\pi t}{3}})+ 4sin({\frac{5\pi t}{3}})\, $

$ y(t) = H(s)x(t)\, $


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ECE462 Survivor

Seraj Dosenbach