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== Time Invariant Systems == | == Time Invariant Systems == | ||
| − | A system is time invariant if for any function x(t) a time shift of the function x(t-t0) the | + | 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. |
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| + | x(t) -> |Sys| -> |time delay by t0| -> a(t) | ||
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| + | x(t) -> |time delay by t0| -> |Sys| -> a(t) | ||
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| + | If this resulting function a(t) is the same for both cascades then the system is time invariant. | ||
| − | A system is time variant if | + | == Time Variant: == |
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| + | A system is time variant if the results of the cascaded systems are not the same. | ||
Revision as of 12:43, 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.
Time Variant:
A system is time variant if the results of the cascaded systems are not the same.
