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]) $
File:/Zero order.jpg. ECE301Fall2008mboutin
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} $
