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(Solved): 3) For the discrete-time system shown in Figure 4, a. Obtain the difference equation relating the o ...
3) For the discrete-time system shown in Figure 4, a. Obtain the difference equation relating the output, and the input, (9 Marks) b. Derive its system transfer function, \( \mathrm{H}(\mathrm{z}) \) (9 Marks) c. Sketch the pole-zero plot and comment on the stability of the system. (7 Marks) Figure 4
Expert Answer
(a). From given figure, y(n)=x(n?2)?1.619x(n?1)+1.516y(n?1)?0.878y(n?2) Separate the like terms aside of the equality, y(n)?1.516y(n?1)+0.878y(n?2)=x(