Similarly, in [[digital signal processing]], the same concept is represented as a function on <math>\mathbb{Z}</math> (the [[integer]]s):
:<math>
\delta[n] = \begin{cases} 1, & n = 0 \\ 0, & n \ne 0.\end{cases}</math>
The function is referred to as an ''impulse'', or ''unit impulse''. And when it stimulates a signal processing element, the output is called the [[impulse response]] of the element.
