(Time Invariant Systems)
(Time Variant:)
 
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== Time Invariant Systems ==
 
== Time Invariant Systems ==
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  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),
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  If this resulting function a(t) is the same for both cascades then the system is time invariant.</nowiki>
 
  If this resulting function a(t) is the same for both cascades then the system is time invariant.</nowiki>
  
==  Time Variant: ==
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==  Time Variant Systems: ==
 
   
 
   
 
  A system is time variant if the results of the cascaded systems are not the same.
 
  A system is time variant if the results of the cascaded systems are not the same.

Latest revision as of 12:46, 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 Systems:

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

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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