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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), is commutative with the other effects of the system. | + | 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) -> |Sys| -> |time delay by t0| -> a(t) | ||
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x(t) -> |time delay by t0| -> |Sys| -> 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. | + | If this resulting function a(t) is the same for both cascades then the system is time invariant.</nowiki> |
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| − | == Time Variant: == | + | == 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 13:46, 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.
