# sampling

Sampling is the process of going from a continuous signal to a discrete signal at some sampling rate.

\begin{equation}
x[n] = x_c(nT)
\end{equation}

Where \(n\) is the sampling interval and \(T\) is the sampling period.

The sampling rate is thus defined is \(\frac{2\pi}{T}\)

One can recover \(x_c(t)\) from \(x[n]\) when the conditions given in the shannon-nyquist theorem are fulfilled, perfectly using a