Control Systems - GATE practice papers - Electronics & Communication for Q. 502

Q.  What does the term/value 'ΔK' represents in an equation of Mason's Gain Formula? (Marks : 02)
- Published on 19 Oct 15

a. Path Factor
b. Forward Path Transmittance of kth path
c. Loop Gain
d. Graph Determinant

ANSWER: Path Factor
 
Mason's Gain Formula is used to evaluate an overall transmittance (gain), which can be expressed as,

T = k=1∑n PK ΔK / Δ
where, Pk = forward path transmittance of kth path
Δ = graph determinant comprising closed loop transmittances & mutual interactions between non-touching loops.
ΔK = path factor consisting of all isolated closed loops from the forward path in the graph.

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