Problem

A causal LTI system has system function (a) Determine the output of the sys...

A causal LTI system has system function

(a) Determine the output of the system when the input is x[n] = u[n].

(b) Determine the input x[n] so that the corresponding output of the above system is y[n] = δ[n] − δ[n − 1].

(c) Determine the output y[n] when the input is x[n] = cos(0.5πn) for−∞ < n < ∞. You may leave your answer in any convenient form.

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