Revision as of 12:44, 16 September 2008 by Drecord (Talk)

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.

Time Variant:

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

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