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(a) Show that a system with transfer function H(z) whose denominator A(z) = 1 – [2ρ...

(a) Show that a system with transfer function H(z) whose denominator A(z) = 1 – [2ρ cosθ] z-1 + ρ 2 z-2 has poles at z = ρe ±jθ (b) For what values of r is this system stable? (c) If the numerator of H(z) is B(z) = K z-1 , what is the form of its impulse response for ρ = 1? (d) If the numerator of H(z) is B(z) = K z-1 , what is the form of its impulse response for ρ = 0.9? (e) Draw the block diagram corresponding to H(z).

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