Question: Problem 1: (35 points) Consider the difference equation of a causal DT system 1 Yk = Yk-2 + Uk a) Specify the general form

Problem 1: (35 points) Consider the difference equation of a causal DT

Problem 1: (35 points) Consider the difference equation of a causal DT system 1 Yk = Yk-2 + Uk a) Specify the general form of the system natural-response. b) Determine the transfer function of the system and give its ROC. c) Determine the forced-response of the system to the input k k-1 = - 1 (-1) * 0 + (-1) * Uk using z-transform techniques. 0k-1

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