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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