(New page: == Invertible Systems == A system is invertible if distinct inputs yield distinct outputs. Invertible System: y(t) = <math>\frac{3*x(t) + 8}{1}</math> x(t) = <math>\frac{y(t) - 8}{3}</...) |
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| − | == | + | == Time Invariant Systems == |
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| − | A system is | + | |
| − | + | 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) | + | x(t) -> |time delay by t0| -> |Sys| -> a(t) |
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| − | x(t) -> | | + | 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 Systems: == | |
| − | + | 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.
