(New page: == Def of Time invariant system == when parameter is an invariable, parameter does not change a value depends on time changing. == example of time invariant == <math>y(t)=3x(t)</math>...) |
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<math>z(t)=3y(t)</math> | <math>z(t)=3y(t)</math> | ||
− | <math>=3x(t-t_0)</math> | + | <math>=3x(t-t_0)\leftarrow same output</math> |
<math>y(t)=3x(t)</math> | <math>y(t)=3x(t)</math> | ||
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<math>z(t)=y(t-t_0)</math> | <math>z(t)=y(t-t_0)</math> | ||
− | <math>=3x(t-t_0)</math> | + | <math>=3x(t-t_0)\leftarrow same output</math> |
it has a same output. therefore it is a time invariant. | it has a same output. therefore it is a time invariant. |
Revision as of 17:24, 11 September 2008
Def of Time invariant system
when parameter is an invariable, parameter does not change a value depends on time changing.
example of time invariant
$ y(t)=3x(t) $
$ y(t)=x(t-t_0) $
$ z(t)=3y(t) $
$ =3x(t-t_0)\leftarrow same output $
$ y(t)=3x(t) $
$ z(t)=y(t-t_0) $
$ =3x(t-t_0)\leftarrow same output $
it has a same output. therefore it is a time invariant.