gammaml

Calculate load reflection coefficient of two-port network

Syntax

coefficient = gammaml(s_params)

coefficient = gammaml(hs)

Description

coefficient = gammaml(s_params) calculates the load reflection coefficient of a two-port network required for simultaneous conjugate match.

coefficient = gammaml(hs) calculates the load reflection coefficient of the two-port network represented by the S-parameter object hs.

Examples

Load Reflection Coefficient Calculation

Calculate the load reflection coefficient using network data from a file

ckt = read(rfckt.amplifier,'default.s2p');
s_params = ckt.NetworkData.Data;
coefficient = gammaml(s_params);

Calculate Load Reflection Coefficient of S-Parameters Object

Define S-parameters object specified from a file.

s_params = sparameters('default.s2p');

Calculate the load reflection coefficient using the gammaml function.

coefficient = gammaml(s_params)

coefficient = 191×1 complex

  -0.0741 + 0.3216i
  -0.0751 + 0.3292i
  -0.0763 + 0.3365i
  -0.0776 + 0.3435i
  -0.0791 + 0.3502i
  -0.0807 + 0.3564i
  -0.0825 + 0.3619i
  -0.0843 + 0.3668i
  -0.0862 + 0.3709i
  -0.0882 + 0.3741i
  -0.0902 + 0.3761i
  -0.0924 + 0.3772i
  -0.0948 + 0.3777i
  -0.0975 + 0.3776i
  -0.1003 + 0.3772i
      ⋮

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

hs — Two-port network

S-parameter object

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

Data Types: function_handle

Output Arguments

coefficient — Load reflection coefficient

M element complex vector

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

Algorithms

The function calculates coefficient using the equation

$${\Gamma }_{ML}=\frac{B_2\pm \sqrt{B_2{}^2-4\left|C_2{}^2\right|}}{2C_2}$$

where

$$\begin{array}{c}{B}_2=1-\left|S_{11}{}^2\right|+\left|S_{22}{}^2\right|-\left|{\Delta }^2\right|\\ C_2=S_{22}-\Delta \cdot S_{11}^{*}\\ \Delta =S_{11}{S}_{22}-S_{12}{S}_{21}\end{array}$$

Version History

Introduced before R2006a