Write Masons Gain formula.

1.	Write Masons Gain formula.
Answer» Masons Gain formula states that the overall gain of the system is M = \(\frac{1}{Δ}\) \(\displaystyle\sum_{n=1}^{N}\)P_hΔ_h = \(\frac{X_{out}}{x_{in}}\) 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 the 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»

Masons Gain formula states that the overall gain of the system is

M = \(\frac{1}{Δ}\) \(\displaystyle\sum_{n=1}^{N}\)P_hΔ_h = \(\frac{X_{out}}{x_{in}}\)

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 the 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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