Time Invariance

A system is time invariant if an input signal x(t) corresponds to the output signal y(t) despite any scaling due to time.

x(t-t0) -> |      | -> y(t-t0)     Shifted input yields shifted output

y(t) = 7*x(t)

x(t) delayed = x(t-t0) -> | sys | -> 10* x(t-t0) x(t) -> |sys| = 10* x(t) -> delayed -> 10* x(t-t0)

Same result therefore time invariant.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett