| Line 2: | Line 2: | ||
<math> x[n] = \oint_C {X(Z)}{Z ^ (n-1)} , dZ \ </math> | <math> x[n] = \oint_C {X(Z)}{Z ^ (n-1)} , dZ \ </math> | ||
| + | where C is a closed counterwise countour inside the ROC of the Z- transform and around the origin. | ||
| + | |||
| + | <math> = \sum_{poles a_i} Residue ( X(Z) Z^ (n-1)) \ </math> | ||
Revision as of 04:28, 23 September 2009
Inverse Z-transform
$ x[n] = \oint_C {X(Z)}{Z ^ (n-1)} , dZ \ $
where C is a closed counterwise countour inside the ROC of the Z- transform and around the origin.
$ = \sum_{poles a_i} Residue ( X(Z) Z^ (n-1)) \ $
