(d) = = A discrete-time system is described by the following transfer function Y(2) 1+0.5z-1 T(2) U(2) (1-0.5z-1)(1+0.3z

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D A Discrete Time System Is Described By The Following Transfer Function Y 2 1 0 5z 1 T 2 U 2 1 0 5z 1 1 0 3z 1 (42.2 KiB) Viewed 29 times

(d) = = A discrete-time system is described by the following transfer function Y(2) 1+0.5z-1 T(2) U(2) (1-0.5z-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 ii) Verify that there is an asymptotic steady state value for the output signal, and calculate y(k) when k → 0. (Hint: the z-transform for unit step input signal is -2-2) 3 marks