# s2t

Convert S-parameters to T-parameters

## Syntax

``t_params = s2t(s_params)``

## Description

example

````t_params = s2t(s_params)` converts the scattering parameters to the chain scattering parameters. This function uses the following definition for T-parameters: $\left[\begin{array}{c}{a}_{1}\\ {b}_{1}\end{array}\right]=\left[\begin{array}{cc}{T}_{11}& {T}_{12}\\ {T}_{21}& {T}_{22}\end{array}\right]\left[\begin{array}{c}{b}_{2}\\ {a}_{2}\end{array}\right],$ where: a1 is the incident wave at the first port.b1 is the reflected wave at the first port.a2 is the incident wave at the second port.b2 is the reflected wave at the second port. ```

## Examples

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Define a matrix of S-parameters.

```s11 = 0.61*exp(j*165/180*pi); s21 = 3.72*exp(j*59/180*pi); s12 = 0.05*exp(j*42/180*pi); s22 = 0.45*exp(j*(-48/180)*pi); s_params = [s11 s12; s21 s22];```

Convert S-parameters to T-parameters.

`t_params = s2t(s_params)`
```t_params = 2×2 complex 0.1385 - 0.2304i 0.0354 + 0.1157i -0.0452 + 0.1576i -0.0019 - 0.0291i ```

## Input Arguments

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2-port S-parameters, specified as a 2-by-2-by-M array of complex numbers, where M represents the number of frequency points of 2-port S-Parameters.

## Output Arguments

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2-port T-Parameters returned as a 2-by-2-by-M array of complex numbers, where M represents the number of frequency points of 2-port T-parameters.

## References

[1] Gonzalez, Guillermo. Microwave Transistor Amplifiers: Analysis and Design. 2nd edition. Prentice-Hall, 1997, p. 25.

## Version History

Introduced before R2006a