Consider the system shown in the figure below The transfer function...

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Consider the system shown in the figure below. The transfer function $$\frac{{Y\left( z \right)}}{{X\left( z \right)}}$$ of the system is

A. $$\frac{{1 + a{z^{ - 1}}}}{{1 + b{z^{ - 1}}}}$$

B. $$\frac{{1 + b{z^{ - 1}}}}{{1 + a{z^{ - 1}}}}$$

C. $$\frac{{1 + a{z^{ - 1}}}}{{1 - b{z^{ - 1}}}}$$

D. $$\frac{{1 - b{z^{ - 1}}}}{{1 - a{z^{ - 1}}}}$$

Answer: Option A

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