二端口网络
参数转换

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|   | 阻抗矩阵 \mathbf {Z}  | 导纳矩阵 \mathbf {Y}  | 混合矩阵 \mathbf {H}  | 第二类混合矩阵 \mathbf {G}  | 传输矩阵 \mathbf {A}  |
|  \mathbf {Z}  |  {\begin{bmatrix}Z_{11}&Z_{12}\\Z_{21}&Z_{22}\end{bmatrix}} |  {\begin{bmatrix}{\frac {Y_{22}}{\det(\mathbf {Y} )}}&{\frac {-Y_{12}}{\det(\mathbf {Y} )}}\\{\frac {-Y_{21}}{\det(\mathbf {Y} )}}&{\frac {Y_{11}}{\det(\mathbf {Y} )}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {\det(\mathbf {H} )}{h_{22}}}&{\frac {h_{12}}{h_{22}}}\\{\frac {-h_{21}}{h_{22}}}&{\frac {1}{h_{22}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {1}{g_{11}}}&{\frac {-g_{12}}{g_{11}}}\\{\frac {g_{21}}{g_{11}}}&{\frac {\det(\mathbf {G} )}{g_{11}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {a_{11}}{a_{21}}}&{\frac {\det(\mathbf {A} )}{a_{21}}}\\{\frac {1}{a_{21}}}&{\frac {a_{22}}{a_{21}}}\end{bmatrix}} |
|  \mathbf {Y}  |  {\begin{bmatrix}{\frac {Z_{22}}{\det(\mathbf {Z} )}}&{\frac {-Z_{12}}{\det(\mathbf {Z} )}}\\{\frac {-Z_{21}}{\det(\mathbf {Z} )}}&{\frac {Z_{11}}{\det(\mathbf {Z} )}}\end{bmatrix}} |  {\begin{bmatrix}Y_{11}&Y_{12}\\Y_{21}&Y_{22}\end{bmatrix}} |  {\begin{bmatrix}{\frac {1}{h_{11}}}&{\frac {-h_{12}}{h_{11}}}\\{\frac {h_{21}}{h_{11}}}&{\frac {\det(\mathbf {H} )}{h_{11}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {\det(\mathbf {G} )}{g_{22}}}&{\frac {g_{12}}{g_{22}}}\\{\frac {-g_{21}}{g_{22}}}&{\frac {1}{g_{22}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {a_{22}}{a_{12}}}&{\frac {-\det(\mathbf {A} )}{a_{12}}}\\{\frac {-1}{a_{12}}}&{\frac {a_{11}}{a_{12}}}\end{bmatrix}} |
|  \mathbf {H}  |  {\begin{bmatrix}{\frac {\det(\mathbf {Z} )}{Z_{22}}}&{\frac {Z_{12}}{Z_{22}}}\\{\frac {-Z_{21}}{Z_{22}}}&{\frac {1}{Z_{22}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {1}{Y_{11}}}&{\frac {-Y_{12}}{Y_{11}}}\\{\frac {Y_{21}}{Y_{11}}}&{\frac {\det(\mathbf {Y} )}{Y_{11}}}\end{bmatrix}} |  {\begin{bmatrix}h_{11}&h_{12}\\h_{21}&h_{22}\end{bmatrix}} |  {\begin{bmatrix}{\frac {g_{22}}{\det(\mathbf {G} )}}&{\frac {-g_{12}}{\det(\mathbf {G} )}}\\{\frac {-g_{21}}{\det(\mathbf {G} )}}&{\frac {g_{11}}{\det(\mathbf {G} )}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {a_{12}}{a_{22}}}&{\frac {\det(\mathbf {A} )}{a_{22}}}\\{\frac {-1}{a_{22}}}&{\frac {a_{21}}{a_{22}}}\end{bmatrix}} |
|  \mathbf {G}  |  {\begin{bmatrix}{\frac {1}{Z_{11}}}&{\frac {-Z_{12}}{Z_{11}}}\\{\frac {Z_{21}}{Z_{11}}}&{\frac {\det(\mathbf {Z} )}{Z_{11}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {\det(\mathbf {Y} )}{Y_{22}}}&{\frac {Y_{12}}{Y_{22}}}\\{\frac {-Y_{21}}{Y_{22}}}&{\frac {1}{Y_{22}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {h_{22}}{\det(\mathbf {H} )}}&{\frac {-h_{12}}{\det(\mathbf {H} )}}\\{\frac {-h_{21}}{\det(\mathbf {H} )}}&{\frac {h_{11}}{\det(\mathbf {H} )}}\end{bmatrix}} |  {\begin{bmatrix}g_{11}&g_{12}\\g_{21}&g_{22}\end{bmatrix}} |  {\begin{bmatrix}{\frac {a_{21}}{a_{11}}}&{\frac {-\det(\mathbf {A} )}{a_{11}}}\\{\frac {1}{a_{11}}}&{\frac {a_{12}}{a_{11}}}\end{bmatrix}} |
|  \mathbf {A}  |  {\begin{bmatrix}{\frac {Z_{11}}{Z_{21}}}&{\frac {\det(\mathbf {Z} )}{Z_{21}}}\\{\frac {1}{Z_{21}}}&{\frac {Z_{22}}{Z_{21}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {-Y_{22}}{Y_{21}}}&{\frac {-1}{Y_{21}}}\\{\frac {-\det(\mathbf {Y} )}{Y_{21}}}&{\frac {-Y_{11}}{Y_{21}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {-\det(\mathbf {H} )}{h_{21}}}&{\frac {-h_{11}}{h_{21}}}\\{\frac {-h_{22}}{h_{21}}}&{\frac {-1}{h_{21}}}\end{bmatrix}} |  {\begin{bmatrix}{\frac {1}{g_{21}}}&{\frac {g_{22}}{g_{21}}}\\{\frac {g_{11}}{g_{21}}}&{\frac {\det(\mathbf {G} )}{g_{21}}}\end{bmatrix}} |  {\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{bmatrix}} |
其中 \mathbf {Y} =\mathbf {Z} ^{-1}\,， \mathbf {G} =\mathbf {H} ^{-1}\,。
下面以h参数转换为Y参数的推导过程为例。
将h参数方程组进行等式变形，得到Y参数方程组的形式：
将第一个式子代入第二个式子：
对第二个式子进行整理：
其中 \Delta _{h}=h_{11}h_{22}-h_{12}h_{21}\,。
整理後的Y参数方程组为
与Y参数方程组的标准形式进行比较，可以得到以下代换关系：
其中
散射参数（S参数）一般通过直接测量得到，但也可通过与其他参数相互转换导出，下面举出S参数与其他参数的转换公式示例。
下面列出S参数与Z参数的转换公式。
二端口S参数可以由等效的二端口Z参数得出，表达式如下：
其中
而 Z_{0}是每一端口的特性阻抗（假定对於2个端口特性阻抗相同）。
上式中的 S_{ij}和 Z_{ij}一般用複數表示。注意对於某些特定 Z_{ij}值， \Delta 将会为0，因此这将导致计算 S_{ij}的表达式中分母 \Delta 为0。
下面列出S参数与Y参数的转换公式。
二端口Y参数可以由等效的二端口S参数得出，表达式如下：
其中
而 Z_{0}是每一端口的特性阻抗（假定对於2个端口特性阻抗相同）。上式中的 S_{ij}和 Y_{ij}一般用複數表示。注意对於某些特定 S_{ij}值， \Delta 将会为0，因此这将导致计算 Y_{ij}的表达式中分母 \Delta 为0。
二端口S参数也可由等效的二端口Y参数得出，表达式如下：
其中
而 Z_{0}是每一端口的特性阻抗（假定对於2个端口特性阻抗相同）。