Problem

(a) Show that the three LTI systems with impulse responses all have the same r...

(a) Show that the three LTI systems with impulse responses

all have the same response to x(t) = cos t.

(b) Find the impulse response of another LTI system with the some response to cos t.

This problem illustrates the fact that the response to cos t cannot be used to specify an LTI system uniquely.

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