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1. For the following causal system y(n) = x(n)-x(n-1)-1.2y(n-1)-0.36y(n-2) Determine the transient and steady-state response for the input x(n)=u(n) using the inverse z-transform and

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1. For the following causal system y(n) = x(n)-x(n-1)-1.2y(n-1)-0.36y(n-2) Determine the transient and steady-state response for the input x(n)=u(n) using the inverse z-transform and the residue theorem. You are required to use the residue theorem for both the transient and steady state response. a) Determine the transient response of the system in closed form using the residue theorem. (10pts) b) Determine the steady state response of the system using the residue theorem. (5pts) c) Using the residue theorem give the steady state output of the filter for x(n)= elu(n) (5pts)

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