Question (1) i) Given the discrete-time system (2 marks) y(k + 2) - y(k) = 2u(k) find the impulse response of the system

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Question 1 I Given The Discrete Time System 2 Marks Y K 2 Y K 2u K Find The Impulse Response Of The System 1 (67.87 KiB) Viewed 16 times

Question (1) i) Given the discrete-time system (2 marks) y(k + 2) - y(k) = 2u(k) find the impulse response of the system g(k): a. From the difference equation b. Using z-transformation Find the inverse transforms of the following functions (2 marks) (a) F(z) = 1+3z-' + 4z ? (b) Z (c) F(2) = 5z' + 4z" 2-0.1 z? +0.04Z+0.25 F(z) = (d) F(2) = z? +0.3z+ 0.02 If the rational functions of the following, are transfer functions of LTI systems, find the difference equation governing each system. (2 marks) Z (a) F(2) = z? + 0.3z + 0.02 (b) F(z) = z-0.1 z? +0.04 z +0.25 iv) Obtain the pulse transfer function of the system shown in the figure. (4 marks) R*(s) R(s)- 1-es 1 s(s+1) Cls) T=1