Input impedance from transmission matrix¶

Knowing the transmission matrix of the device, it is possible to determine the input impedance of this device.

Notes:

See Transmission Matrix.

Links:

Cadence System Analysis, derivable from here.

input_impedance¶: Input electrical_impedance of the transmission line.

Symbol:: Z_in
Latex:: \(Z_\text{in}\)
Dimension:: impedance

load_impedance¶: Load electrical_impedance.

Symbol:: Z_L
Latex:: \(Z_\text{L}\)
Dimension:: impedance

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¶

Z_in = (A * Z_L + B) / (C * Z_L + D)

Latex:: \[Z_\text{in} = \frac{A Z_\text{L} + B}{C Z_\text{L} + D}\]