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Consider the compound system shown in the above figure. Its output is equal to input with a delay of two units. I f the transfer function of the first syst em is given by
,H1 (z) = z - 0.5 z - 0.8
then the transfer function of the second system would be
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H2 (z) = z² - 0.2z-3 1 - 0.4z-1 -
H2 (z) = z-2 - 0.8z-3 1 - 0.5z-1 -
H2 (z) = z-1 - 0.2z-3 1 - 0.4z-1 -
H2 (z) = z-2 - 0.8z-3 1 + 0.5z-1
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Correct Option: B
H1(Z) = Z-2
| H2(Z) = | = | ||
| H1(Z) | 1 - 0.5z-1 |
