Transmission matrix equation

The transmission matrix equation relates the input voltage and input current to the output voltage and output current.

Notes:

1. See Transmission Matrix.

Links:

1. Wikipedia.

input_voltage

Input voltage.

Symbol:

V_i

Latex:

\(V_\text{i}\)

Dimension:

voltage

output_voltage

Output voltage.

Symbol:

V_o

Latex:

\(V_\text{o}\)

Dimension:

voltage

input_current

Input current.

Symbol:

I_i

Latex:

\(I_\text{i}\)

Dimension:

current

output_current

Output current.

Symbol:

I_o

Latex:

\(I_\text{o}\)

Dimension:

current

voltage_voltage_parameter

Ratio of input voltage to output voltage at idle at the output.

Symbol:

A

Latex:

\(A\)

Dimension:

dimensionless

voltage_current_parameter

Ratio of input voltage to output current in case of a short circuit at the output.

Symbol:

B

Latex:

\(B\)

Dimension:

impedance

current_voltage_parameter

Ratio of input current to output voltage at idle at the output.

Symbol:

C

Latex:

\(C\)

Dimension:

conductance

current_current_parameter

Ratio of input current to output current in case of a short circuit at the output.

Symbol:

D

Latex:

\(D\)

Dimension:

dimensionless

law

[V_i, I_i] = [[A, B], [C, D]]*[V_o, I_o]

Latex:

\[\begin{split}\begin{pmatrix} V_\text{i} \\ I_\text{i} \end{pmatrix} = \begin{pmatrix} A & B \\ C & D \end{pmatrix} \begin{pmatrix} V_\text{o} \\ I_\text{o} \end{pmatrix}\end{split}\]