Editing Z-transform (section)

===Output response===
If such a system <math>H(z)</math> is driven by a signal <math>X(z)</math> then the output is <math>Y(z) = H(z)X(z).</math> By performing [[partial fraction]] decomposition on <math>Y(z)</math> and then taking the inverse Z-transform the output <math>y[n]</math> can be found. In practice, it is often useful to fractionally decompose <math>\textstyle \frac{Y(z)}{z}</math> before multiplying that quantity by <math>z</math> to generate a form of <math>Y(z)</math> which has terms with easily computable inverse Z-transforms.