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Time Invariance

A system is time invariant if x(t) passed through the system yeilds y(t) and x(t-T) for any value of T yeilds y(t-T). Time shifting before you put something through the system and after you put it through the system gives you the same results.

Example of Time Invariance

y(t) = x(t)/4

x(t) = cos(t)+sin(t)

x(t) through y(t) yields y(t) = cos(t)/4 + sin(t)/4

x(t-4) through y(t) yields y(t-4) = cos(t-4)/4 + sin(t-4)/4

the signal is time invariant

Example of not Time Invariant system

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett