C_input [uF]: | |
Rbias [ohms]: | |
C_slime [uF]: | |
R_slime [ohms]: | |
C_output [uF]: | |
Z_0 [ohms]: |
slime filter
Let us consider the following circuit:
$$ \left[ {\begin{array}{cc} A_1 & B_1 \\ C_1 & D_1 \\ \end{array} } \right]= \left[ {\begin{array}{cc} 1 & \frac{-i}{\omega C_{in}} \\ 0 & 1 \\ \end{array} } \right] $$
$$ \left[ {\begin{array}{cc} A_2 & B_2 \\ C_2 & D_2 \\ \end{array} } \right]= \left[ {\begin{array}{cc} 1 & R_{bias} \\ 0 & 1 \\ \end{array} } \right] $$
$$ \left[ {\begin{array}{cc} A_3 & B_3 \\ C_3 & D_3 \\ \end{array} } \right]= \left[ {\begin{array}{cc} 1 & 0 \\ i\omega C_{slime} & 1 \\ \end{array} } \right] $$
$$ \left[ {\begin{array}{cc} A_4 & B_4 \\ C_4 & D_4 \\ \end{array} } \right]= \left[ {\begin{array}{cc} 1 & 0 \\ \frac{1}{R_{slime}} & 1 \\ \end{array} } \right] $$
$$ \left[ {\begin{array}{cc} A_5 & B_5 \\ C_5 & D_5 \\ \end{array} } \right]= \left[ {\begin{array}{cc} 1 & \frac{-i}{\omega C_{out}} \\ 0 & 1 \\ \end{array} } \right] $$