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Mason’s Gain Formula

Transfer function of a system in a Signal Flow Graph is the overall gain between the output node and the input node.
Using Mason’s Gain Formula one can reduce a given system into its transfer function in just one step.

 

Where,
C(s) = output
R(s) = input
T = Transfer Function of the system 
= the forward path gain
∆ = 1 + sum of product gain of all the combinations of n non touching loops.
where, n is set of natural numbers
= 1- gain of the part of graph which does not touch the forward 
 

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