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The following system is time invariant: | The following system is time invariant: | ||
| − | <math>\,s(t)=\,</math> | + | <math>\,s(t)=2x(t-3)\,</math> |
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| + | '''Proof:''' | ||
== Example of a Time Variant System == | == Example of a Time Variant System == | ||
Revision as of 18:41, 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)=2x(t-3)\, $
Proof:
Example of a Time Variant System
The following system is time variant:
$ \,s(t)=\, $
