(d) A discrete-time system is described by the following transfer function Y(z) 1+0.52 -1 = T(2) U(z) (1-0.52-1)(1+0.3z-

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D A Discrete Time System Is Described By The Following Transfer Function Y Z 1 0 52 1 T 2 U Z 1 0 52 1 1 0 3z 1 (57.91 KiB) Viewed 33 times

(d) A discrete-time system is described by the following transfer function Y(z) 1+0.52 -1 = T(2) U(z) (1-0.52-1)(1+0.3z-1) The input signal u(k) is constant with the amplitude of 1. i) Let y(0) = 0, y(1) = 1, calculate the value of y(2). 2 marks Verify that there is an asymptotic steady state value for the output signal, and calculate y(k) when k → 00. (Hint: the z-transform for unit step input signal is 3 marks 1 1-z