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Time Invariance

A time invariant system is one in which a time shifted input yields an output of the same time shift:

$ x(t-\delta) = y(t-\delta) $


Example of a time invariant system:

$ x(t) = \sin(t) $

Example of a time variant system:

$ x(t) = t\sin(t) $

In the variant example the amplitude of the signal depends on time so it is time variant

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