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1. (12 Points) Find the z-domain transfer function (H(z)) of the following difference equation. What are the b and a coefficients? What are the poles

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1. (12 Points) Find the z-domain transfer function (H(z)) of the following difference equation. What are the b and a coefficients? What are the poles and zeros? Plot the poles and zeros on the 2-plane. Show all your work to receive full credit. y(n) = x(n) + x(n-1) + 0.7y(n-1) -0.1y(x-2)

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