Question 2 Given the linear system with the input of x(n) and output of y(n) and initial condition below: y(n) = 0.4y(n-

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Question 2 Given The Linear System With The Input Of X N And Output Of Y N And Initial Condition Below Y N 0 4y N 1 (82.73 KiB) Viewed 16 times

Question 2 Given the linear system with the input of x(n) and output of y(n) and initial condition below: y(n) = 0.4y(n-1) + 2x(n) +0.5x(n-1) for n20. a) Calculate the system impulse response. (6 marks) b) Determine causality of the system. Give reasons to your answer. (3 marks) c) Sketch the block diagram representation of the discrete-time system described by this linear system (4 marks) d) Calculate the zero-state step response. (8 marks) e) Compute y(-1) and y(0) of the zero-state step response (4 marks) [Total: 25 marks]