Question 4 A Discrete-Time Linear Time-Invariant (DT LTI) system block diagram is shown below: 0.5 x/n/ y[n] -1 . -0.75

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Question 4 A Discrete Time Linear Time Invariant Dt Lti System Block Diagram Is Shown Below 0 5 X N Y N 1 0 75 1 (77.66 KiB) Viewed 41 times

Question 4 A Discrete-Time Linear Time-Invariant (DT LTI) system block diagram is shown below: 0.5 x/n/ y[n] -1 . -0.75 03 . . 0.2 Answer the following questions with respect to this system: (i) (ii) (iii) Is the system FIR? State your reason clearly [5 marks) Write a difference equation relating the output, y[n] to the input x[n]. [10 marks] By using x[n] = 8[n], determine the first four terms of the system impulse function, h[n] [15 marks) Question 5 Using the z-transform table, or otherwise, determine the z-transform of the following seque x[n]=58[n-1] - 48[n - 2] - 38[n- 4] [5 marks) Question 6 (a) Find the inverse z-transform, x[n] for: X (2) 3 1-1.52 +0.5: ROCZ > 1 [25 marks) (b) Hence, find the values of x[n] for n = 0, 1, 2, and 3. [10 marks)