m (New page: == Define a DT LTI System == <math> \,\ x[n] = (3 + 6)^n </math> === h[n] and H(z) === We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse r...)
 
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== Define a DT LTI System ==
 
== Define a DT LTI System ==
  
<math> \,\ x[n] = (3 + 6)^n </math>
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<math> \,\ x[n] = 5*u[n-5] + 6*u[n+6] </math>
  
 
=== h[n] and H(z) ===
 
=== h[n] and H(z) ===
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<br><br>
  
 
We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse response (<math> \delta[n] </math>).
 
We obtain <math> h[n] </math> by finding the response of <math> x[n] </math> to the unit impulse response (<math> \delta[n] </math>).
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<math> \,\ h[n] = 5*\delta[n-5] + 6*\delta[n+6] </math>

Revision as of 16:03, 25 September 2008

Define a DT LTI System

$ \,\ x[n] = 5*u[n-5] + 6*u[n+6] $

h[n] and H(z)



We obtain $ h[n] $ by finding the response of $ x[n] $ to the unit impulse response ($ \delta[n] $).

$ \,\ h[n] = 5*\delta[n-5] + 6*\delta[n+6] $

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