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Suppose a system is modeled mathematically as: | Suppose a system is modeled mathematically as: | ||
| − | <math>f(x)= 5x | + | <math>\ f(x)= 5x + 6 \ln(x) + 9</math> |
| + | |||
| + | Let <math>\x(t)=Ct </math> be the input to this system. Then <math> \y(t) = f(x(t)) </math> | ||
| + | Therefore | ||
| + | |||
| + | <math>\ y(t)= | ||
Revision as of 14:05, 11 September 2008
What is Time Invariance?
Time Invariance describes a property of a system such that the input of signal shifted k units in time equals it's respective output shifted k units in time.
An example of time invariance
Suppose a system is modeled mathematically as: $ \ f(x)= 5x + 6 \ln(x) + 9 $
Let $ \x(t)=Ct $ be the input to this system. Then $ \y(t) = f(x(t)) $ Therefore
$ \ y(t)= $
