(→Definition of Time Invariance) |
|||
| Line 3: | Line 3: | ||
== Example of a Time Invariant System == | == Example of a Time Invariant System == | ||
| − | + | The following system is time invariant: | |
| + | |||
| + | <math>\,s(t)=\,</math> | ||
== Example of a Time Variant System == | == Example of a Time Variant System == | ||
| − | + | The following system is time variant: | |
| + | |||
| + | <math>\,s(t)=\,</math> | ||
Revision as of 19:22, 11 September 2008
Definition of Time Invariance
A system $ \,s(t)\, $ is called time invariant if for any input signal $ \,x(t)\, $ yielding output signal $ \,y(t)\, $ and for any $ \,t_o\in\mathbb{R}\, $, the response to $ \,x(t-t_o)\, $ is $ \,y(t-t_o)\, $.
Example of a Time Invariant System
The following system is time invariant:
$ \,s(t)=\, $
Example of a Time Variant System
The following system is time variant:
$ \,s(t)=\, $
