(Methods to recover a signal)
(Methods to recover a signal)
 
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<math>x(t)= \sum^{\infty}_{k = -\infty} x(kT) (u[t-kT]-u[t-(k+1)T])</math>
 
<math>x(t)= \sum^{\infty}_{k = -\infty} x(kT) (u[t-kT]-u[t-(k+1)T])</math>
  
[[Image:Zero_order_ECE301Fall2008mboutin.jpg|800px|thumb]]  
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[[Image:Zero_order_ECE301Fall2008mboutin.jpg|800px|center|thumb]]  
  
 
2. First-order intapolation
 
2. First-order intapolation

Latest revision as of 10:47, 10 November 2008

Methods to recover a signal

1. Zero-order intapolation (step function)

$ x(t)= \sum^{\infty}_{k = -\infty} x(kT) (u[t-kT]-u[t-(k+1)T]) $

Zero order ECE301Fall2008mboutin.jpg

2. First-order intapolation

$ x(t)= \sum^{\infty}_{k = -\infty} f_k (t) $

where $ f_k (t)= x(t_k) + (t-t_k) \frac {x(t_{k+1})-x(t_k)}{t_{k+1} - t_k} for t_k < t < t_{k+1} $

First order ECE301Fall2008mboutin.jpg

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