(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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y(t) = <math>t^4</math> | y(t) = <math>t^4</math> | ||
| − | x(t) = <math>t</math> -> |Sys| -> y(t) = <math>t^4</math> | + | x(t) = <math>t</math> -> |Sys| -> y(t) = <math>t^4</math> |
| − | x(t) = <math>-t</math> -> |Sys| -> y(t) = <math>t^4</math> | + | x(t) = <math>-t</math> -> |Sys| -> y(t) = <math>t^4</math> |
Revision as of 12:22, 16 September 2008
Invertible Systems
A system is invertible if distinct inputs yield distinct outputs.
Invertible System:
y(t) = $ \frac{3*x(t) + 8}{1} $
x(t) = $ \frac{y(t) - 8}{3} $
x(t) -> |Sys 1| -> y(t) -> |Sys 2| -> x(t)
The two equations are inverses of each other.
Noninvertible System:
y(t) = $ t^4 $
x(t) = $ t $ -> |Sys| -> y(t) = $ t^4 $
x(t) = $ -t $ -> |Sys| -> y(t) = $ t^4 $
