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Signals and Systems Question on Transfer Function From Block Diagram Representation

C(s) The noise transfer function C(s)N(S)∣R(S)=0\frac{C(s)}{ N(S)}| _{R(S)=0} of the given system is

A

G21+G2H1+G1G2H2\frac{G_2}{1+G_2H_1+G_1G_2H_2 }

B

G11+G2H1+G1G2H2\frac{G_1}{1+G_2H_1+G_1G_2H_2 }

C

G21−G1H2−G1G2H2\frac{G_2}{1-G_1H_2-G_1G_2H_2 }

D

G11−G1H2−G1G2H2\frac{G_1}{1-G_1H_2-G_1G_2H_2 }

Answer

G21+G2H1+G1G2H2\frac{G_2}{1+G_2H_1+G_1G_2H_2 }

Explanation

Solution

The Correct answer is option (A) : G21+G2H1+G1G2H2\frac{G_2}{1+G_2H_1+G_1G_2H_2 }