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Shift-invariant system

In signal processing, a shift invariant system is the discrete equivalent of a time-invariant system, defined such that if y(n){\displaystyle y(n)} is the response of the system to x(n){\displaystyle x(n)}, then y(n−k){\displaystyle y(n-k)} is the response of the system to x(n−k){\displaystyle x(n-k)}.

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