Given the difference equation y(n) = x(n) - 2cos (α)x(n-1 ) + x(n-2) + 2γcos (α)-γ ² ? where γ = 0.8 and α-60 ⁰ a. find the transfer function H(z); b. plot the poles and zeros on the z-plan with the unit circle; e. determine the stability of the system from the pole-zero plot; d. calculate the amplitude (magnitude) response of H(z) e. calculate the phase response of H(z)

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6.20. Given the difference equation y(n) x(n) 2 cos (a)x(n 1) +x(n 2) + 2y cos (a) y 60, where y = 0.8 and a = a. find the transfer function H(z); b. plot the poles and zeros on the z-plan with the unit circle; c. determine the stability of the system from the pole-zero plot; d. calculate the amplitude (magnitude) response of H(2); e. calculate the phase response of H(z).