(Time Invariant Systems)
(Time Invariant Systems)
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== Time Invariant Systems ==
 
== Time Invariant Systems ==
<nowiki>
+
 
A system is time invariant if for any function x(t), a time shift of the function x(t-t0),
+
A system is time invariant if for any function x(t), a time shift of the function x(t-t0),
 
  is commutative with the other effects of the system.
 
  is commutative with the other effects of the system.
 
   
 
   

Revision as of 12:45, 16 September 2008

Time Invariant Systems

A system is time invariant if for any function x(t), a time shift of the function x(t-t0),

is commutative with the other effects of the system.

x(t)   ->   |Sys|   ->   |time delay by t0|   -> a(t)
  
x(t)   ->   |time delay by t0|   ->   |Sys|   -> a(t)
 
If this resulting function a(t) is the same for both cascades then the system is time invariant.</nowiki>

Time Variant:

A system is time variant if the results of the cascaded systems are not the same.

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