# gammams

Source reflection coefficient of 2-port network

## Syntax

`coefficient = gammams(s_params)coefficient = gammams(hs)`

## Description

`coefficient = gammams(s_params)` calculates the source reflection coefficient of a 2-port network required for simultaneous conjugate match. `s_params` is a complex 2-by-2-by-M array, representing M 2-port S-parameters. `coefficient` is an M-element complex vector.

`coefficient = gammams(hs)` calculates the source reflection coefficient of the 2-port network represented by the S-parameter object `hs`.

## Examples

Calculate the source reflection coefficient using network data from a file:

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

## More About

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### Algorithms

The function calculates `coefficient` using the equation

${\Gamma }_{MS}=\frac{{B}_{1}±\sqrt{{B}_{1}{}^{2}-4|{C}_{1}{}^{2}|}}{2{C}_{1}}$

where

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

## See Also

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