Question: We are interested in the unit-step solu-tion of a system represented by the following difference equation y[n] = y[n 1] 0.5y[n 2]

We are interested in the unit-step solu-tion of a system represented by the following difference equation y[n] = y[n − 1] − 0.5y[n − 2] + x[n] + x[n − 1]

(a) Find an expression for Y(z).

(b) Do a partial expansion of Y(z).

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