| Line 5: | Line 5: | ||
<math>S_1(t) = 5t</math> | <math>S_1(t) = 5t</math> | ||
| + | |||
<math>S_2(t) = t - t_0</math> | <math>S_2(t) = t - t_0</math> | ||
| − | <math>x(t) -> S_1(t) </math> | + | <math>x(t) -> S_1(t) -> S_2(t) -> 5x(t - t_0)</math> |
| + | |||
<math>s_1(t) = 5t</math> | <math>s_1(t) = 5t</math> | ||
Revision as of 16:09, 12 September 2008
A system is time invariant if for any time shifted input signal the system produces a shifted output such that if an input $ x(t) $ produced an output $ y(t) $ then the input $ x(t + t_0) $ would produced the output $ y(t + t_0) $
Time invariant Signal
$ S_1(t) = 5t $
$ S_2(t) = t - t_0 $
$ x(t) -> S_1(t) -> S_2(t) -> 5x(t - t_0) $
$ s_1(t) = 5t $
