A discrete-time sinusoidal signal can be represented by the following function: $\forall n \in \mathbb{Z}, x(n) = \sin(\omega n)$ $x: \mathbb{Z} \rightarrow [-1,1] $ Where $\omega$ is the angular frequency (in rad/s) that is related to the frequency $f$ (in Hz or samples per second) by: $ \omega = 2 \pi f$ and with the [[fundamental period]]: $ \omega = \frac{2 \pi}{N_0} $