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Question 4.5: Determining whether a system is time invariant Test for time......

Determining whether a system is time invariant

Test for time invariance the system whose input-output relationship is y(t) = exp(x(t)).

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Let x_1(t) = g(t).  Then y_1(t) = exp(g(t)).  Let x_2(t) = g(t − t_0 ).  Then y_2(t) = exp(g(t − t_0 )) = y_1(t − t_0 ). Therefore this system is time invariant.

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