# s2s

Convert S-parameters to S-parameters with different impedance

## Syntax

``s_params_new = s2s(s_params,z0)``
``s_params_new = s2s(s_params,z0,z0_new)``

## Description

````s_params_new = s2s(s_params,z0)` converts the scattering parameters with reference impedance `z0` to the scattering parameters with a default reference impedance of 50 ohms. ```

example

````s_params_new = s2s(s_params,z0,z0_new)` converts the scattering parameters with reference impedance `z0` into the scattering parameters with reference impedance `z0_new`.```

## Examples

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Define a matrix of S-parameters.

```s_11 = 0.61*exp(1i*165/180*pi); s_21 = 3.72*exp(1i*59/180*pi); s_12 = 0.05*exp(1i*42/180*pi); s_22 = 0.45*exp(1i*(-48/180)*pi); s_params = [s_11 s_12; s_21 s_22]; z0 = 50; z0_new = 40;```

Convert to S-parameters with different impedance.

`s_params_new = s2s(s_params,z0,z0_new)`
```s_params_new = 2×2 complex -0.5039 + 0.1563i 0.0373 + 0.0349i 1.8929 + 3.2940i 0.4150 - 0.3286i ```

## Input Arguments

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

Reference impedance in ohms, specified as one of the following:

• Positive real scalar when you want to specify the same the reference impedance for all ports in the network.

• Positive real vector of length N when you want to specify a different reference impedance for each port in the N-port network. (since R2023a)

• Positive real vector of length K when you want to specify a different reference impedance for each in the K frequencies in the data. (since R2023a)

If the reference impedance is a vector and the number of ports N equals the number of data frequencies K, N == K, then the `sparameters` object will assign each element of the vector to each port of the network. To specify reference impedances for each frequency in this case, specify `Z0` as a 3-D vector of length 1-by-1-by-K .

Reference impedance of S-parameters, specified in scalar as ohms.

## Output Arguments

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N-port hybrid S-parameters, returned as an N-by-N-by-M array of complex numbers, where M represents the number of frequency points of N-port hybrid S-parameters.

## Alternatives

The `newref` function changes the reference impedance of S-parameters objects.

 Reveyrand, T. “Multiport Conversions between S, Z, Y, h, ABCD, and T Parameters.” 2018 International Workshop on Integrated Nonlinear Microwave and Millimetre-Wave Circuits (INMMIC), IEEE, 2018, pp. 1–3. DOI.org (Crossref), doi:10.1109/INMMIC.2018.8430023.