# gammaout

Calculate output reflection coefficient of two-port network

## Description

example

coefficient = gammaout(s_params,z0,zs) calculates the output reflection coefficient of a two-port network. z0 is the reference impedance Z0; its default value is 50 ohms. zs is the source impedance Zs; its default value is also 50 ohms. coefficient is an M-element complex vector.

example

coefficient = gammaout(hs,zs) calculates the output reflection coefficient of the two-port network represented by the S-parameter object hs.

## Examples

collapse all

Calculate the output reflection coefficient using network data from a file.

s_params = ckt.NetworkData.Data;
z0 = ckt.NetworkData.Z0;
zs = 100;
coefficient = gammaout(s_params,z0,zs)
coefficient = 191×1 complex

-0.0741 - 0.3216i
-0.0765 - 0.3184i
-0.0787 - 0.3152i
-0.0809 - 0.3121i
-0.0829 - 0.3090i
-0.0848 - 0.3059i
-0.0867 - 0.3029i
-0.0884 - 0.3000i
-0.0900 - 0.2971i
-0.0915 - 0.2943i
⋮

Define a S-parameters object from a file.

s_params = sparameters('default.s2p');

Specify the source impedance.

zs = 100;

Calculate the output reflection coefficient using the gammaout function. .

coefficient = gammaout(s_params,zs)
coefficient = 191×1 complex

-0.0741 - 0.3216i
-0.0765 - 0.3184i
-0.0787 - 0.3152i
-0.0809 - 0.3121i
-0.0829 - 0.3090i
-0.0848 - 0.3059i
-0.0867 - 0.3029i
-0.0884 - 0.3000i
-0.0900 - 0.2971i
-0.0915 - 0.2943i
⋮

## Input Arguments

collapse all

Two-port S-parameters, specified as a complex 2-by-2-by-M array. M is the number of two-port S-parameters.

Data Types: double

Reference impedance, specified as a positive scalar.

Data Types: double

Source impedance, specified as a positive scalar.

Data Types: double

Two-port network, specified as an S-parameter object.

Data Types: function_handle

## Output Arguments

collapse all

Output reflection coefficient, returned as a M element complex vector.

## Algorithms

The function calculates coefficient using the equation

${\Gamma }_{out}={S}_{22}+\frac{{S}_{12}{S}_{21}{\Gamma }_{S}}{1-{S}_{11}{\Gamma }_{S}}$

where

${\Gamma }_{S}=\frac{{Z}_{s}-{Z}_{0}}{{Z}_{s}+{Z}_{0}}$

## Version History

Introduced before R2006a