GATE 2023 Electronics & Communication Q51

Question

The S-parameters of a two port network is given as

$[S] = \begin{bmatrix} S_{11} & S_{12} \ S_{21} & S_{22} \end{bmatrix}$

with reference to Z₀. Two lossless transmission line sections of electrical lengths $	heta_1 = \beta l_1$ and $	heta_2 = \beta l_2$ are added to the input and output ports for measurement purposes, respectively. The S-parameters $[S']$ of the resultant two port network is

Answer

$[S'] = \begin{bmatrix} S_{11}e^{-j2	heta_1} & S_{12}e^{-j(	heta_1+	heta_2)} \ S_{21}e^{-j(	heta_1+	heta_2)} & S_{22}e^{-j2	heta_2} \end{bmatrix}$

Answer

$[S'] = \begin{bmatrix} S_{11}e^{j2	heta_1} & S_{12}e^{-j(	heta_1+	heta_2)} \ S_{21}e^{-j(	heta_1+	heta_2)} & S_{22}e^{j2	heta_2} \end{bmatrix}$

Answer

$[S'] = \begin{bmatrix} S_{11}e^{j2	heta_1} & S_{12}e^{j(	heta_1+	heta_2)} \ S_{21}e^{j(	heta_1+	heta_2)} & S_{22}e^{j2	heta_2} \end{bmatrix}$

Answer

$[S'] = \begin{bmatrix} S_{11}e^{-j2	heta_1} & S_{12}e^{j(	heta_1+	heta_2)} \ S_{21}e^{j(	heta_1+	heta_2)} & S_{22}e^{-j2	heta_2} \end{bmatrix}$