Question
Download Solution PDFIn a signal flow graph, _________ is the gain along any path from the input to the output, not passing through any node more than once.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSignal flow graph:
The transfer function from the signal flow graph is given by:
\(H(s) = {C(s) \over R(s)}= {\sum_{k=1}^{\infty}P_kΔ_k \over Δ}\)
Pk = Forward path gain
Δk = 1 - (loop gain which does not touch the forward path)
Δ = 1 - (Σloop gain) + (Σnon touching loop gain taken two at a time) - (Σnon touching loop gain taken three at a time)
Forward path gain:
Forward path gain is the gain along any path from the input to the output, not passing through any node more than once.
Feedback path gain:
Feedback path gain is the gain along any path which starts and terminates at the same node, not crossing any other node more than once.
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