Question:
Use Mason’s gain formula to find the transfer function of the given figure
Use Mason’s gain formula to find the transfer function of the given figure
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Use Mason's gain formula for calculating transfer functions in signal flow graphs.
Updated On: Feb 27, 2025
- \( G_1 + G_2 \)
- \( \frac{G_1 + G_1}{1 - G_1 H + G_2 H} \)
- \( \frac{G_1 + G_2}{1 + G_1 H + G_2 H} \)
- \( G_1 - G_2 \)
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The Correct Option is C
Solution and Explanation
- Mason’s gain formula states that
\[
T = \frac{\sum P_k \Delta_k}{\Delta}
\]
- Using path gain calculations and determinant expressions, we derive the transfer function as \( \frac{G_1 + G_2}{1 + G_1 H + G_2 H} \).
Conclusion: The correct transfer function is given by option (c).
Conclusion: The correct transfer function is given by option (c).
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