Question

(The setting is the same as the previous problem, but now we wish to find D). The Direct Forin II representation and pole-zero plot of a causal LTI system are shown below. 2 Im(s) y[n] с -0.2 0.8 X) to Xo Xt Re(2) -0.8 0.2 B D Find the value of the constant D ( OD= -1.2 (a) D = 0.6 (b) D = -0,6 (8) D= 1.6 (h) D = -1.6 (c) D=1 (d) D= -1 (i) D = 3.2 (e) D = 1.2 (0) None of these O (a) O (b)

Answer 1

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Answer A= 0.6 ; B = 0.16 ; C = 1.2 ; D = -0.32

write the transfer function from given pole-Zero plot Hlz) K(1-002) (+0.82") (1+0221-0.72) where k is gain H (7) K( 1 + 0.62-/- 0.162-?) Į -0.670 - 0.167-2 write the transfer fonction from given to Direet from I representabion H(Z) 2 + coz +02-8 I - AZ-B7-2 H(2) 211+ Çz!+Pz) 1 - Az? -822 ( compare blu ③ and ② A=0.6, B= 들 c=1.2 0.16, K=2 Oo6 ulor All -0.16 D- • 32 =-0.33