Mason’s gain formula

1.	Mason’s gain formula
Answer» Mason’s gain formula : The relationship between an input variable and an output variable of signal flow graph is given by the net gain between the input and the output nodes is known as overall gain of the system. Mason‘s gain rule for the determination of the overall system gain is given below. M = \(\frac{1}{Δ}\displaystyle\sum_{K=1}^{N} \)P_kΔ_k = \(\frac{X_{out}}{X_{in}}\) Where M = gain between X_in and X_out X_out = output node variable X_in = input node variable N = total number of forward paths P_K = = path gain of the k_th forward path Δ = 1‐(sum of loop gains of all individual loop) + (sum of gain product of all possible combinations of two non touching loops) – (sum of gain products of all possible combination of three non touching loops)

Answer»

Mason’s gain formula :

The relationship between an input variable and an output variable of signal flow graph is given by the net gain between the input and the output nodes is known as overall gain of the system. Mason‘s gain rule for the determination of the overall system gain is given below.

M = \(\frac{1}{Δ}\displaystyle\sum_{K=1}^{N} \)P_kΔ_k = \(\frac{X_{out}}{X_{in}}\)

Where M = gain between X_in and X_out

X_out = output node variable

X_in = input node variable

N = total number of forward paths

P_K = = path gain of the k_th forward path

Δ = 1‐(sum of loop gains of all individual loop) + (sum of gain product of all possible combinations of two non touching loops) – (sum of gain products of all possible combination of three non touching loops)

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