Q5. (a) Consider the following difference equation y(k) = 0.9y(k – 1) + y(k − 2) + u(k – 1) i) ii) Use the z-transform t
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Q5. (a) Consider the following difference equation y(k) = 0.9y(k – 1) + y(k − 2) + u(k – 1) i) ii) Use the z-transform t
Q5. (a) Consider the following difference equation y(k) = 0.9y(k – 1) + y(k − 2) + u(k – 1) i) ii) Use the z-transform to obtain a discrete-time transfer function. 3 marks Determine the poles and zeros of the discrete-time system and plot them in a pole-zero map. 3 marks Discuss the stability of the discrete-time system. 2 marks iii)
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