gammaout

Calculate output reflection coefficient of two-port network

Syntax

coefficient = gammaout(s_params,z0,zs)

coefficient = gammaout(hs,zs)

Description

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 Z_s; its default value is also 50 ohms. coefficient is an M-element complex vector.

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

Examples

Output Reflection Coefficient Calculation using Network Data

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

ckt = read(rfckt.amplifier,'default.s2p');
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
      ⋮

Output Reflection Coefficient Calculation of S-Parameters Object

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

s_params — Two-port S-parameters

complex 2-by-2-by-M array

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

z0 — Reference impedance

50 (default) | positive scalar

Reference impedance, specified as a positive scalar.

Data Types: double

zs — Source impedance

50 (default) | positive scalar

Source impedance, specified as a positive scalar.

Data Types: double

hs — Two-port network

S-parameter object

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

Data Types: function_handle

Output Arguments

coefficient — Output reflection coefficient

M element complex vector

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