# s2y

Convert S-parameters to Y-parameters

## Syntax

``y_params = s2y(s_params,z0)``

## Description

example

````y_params = s2y(s_params,z0)` converts the scattering parameters to the admittance parameters.```

## Examples

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Define the S-parameters and impedance.

```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;```

Convert the S-parameters to Y-parameters.

`y_params = s2y(s_params,z0)`
```y_params = 2×2 complex 0.0647 - 0.0059i -0.0019 - 0.0025i -0.0826 - 0.2200i 0.0037 + 0.0145i ```

## Input Arguments

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N-port- S-Parameters, specified as an N-by-N-by-M array of a 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 .

## Output Arguments

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

 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.