View source for Xujun Huang: Chapter 7 notes ECE301Fall2008mboutin - Rhea

=== Methods to recover a signal ===

1. Zero-order intapolation (step function)

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

[[Image:Zero_order_ECE301Fall2008mboutin.jpg|400px|left|thumb]] 

2. First-order intapolation

<math>x(t)= \sum^{\infty}_{k = -\infty} f_k (t) </math>

where <math>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} </math> 

[[Image:First_order_ECE301Fall2008mboutin.jpg|600px|left]]