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# abcd2s

Convert ABCD-parameters to S-parameters

## Syntax

```s_params = abcd2s(abcd_params,z0) ```

## Description

`s_params = abcd2s(abcd_params,z0)` converts the ABCD-parameters `abcd_params` into the scattering parameters `s_params`. The `abcd_params` input is a complex 2N-by-2N-by-M array, representing M 2N-port ABCD-parameters. `z0` is the reference impedance; its default is 50 ohms. The function assumes that the ABCD-parameter matrices have distinct A, B, C, and D submatrices:

`s_params` is a complex 2N-by-2N-by-M array, representing M 2N-port S-parameters.

## Examples

collapse all

Define a matrix of ABCD-parameters.

```A = 0.999884396265344 + 0.000129274757618717i; B = 0.314079483671772 + 2.51935878310427i; C = -6.56176712108866e-007 + 6.67455405306704e-006i; D = 0.999806365547959 + 0.000247230611054075i; abcd_params = [A,B; C,D]```
```abcd_params = 2×2 complex 0.9999 + 0.0001i 0.3141 + 2.5194i -0.0000 + 0.0000i 0.9998 + 0.0002i ```

Convert these ABCD parameters to S-parameters.

`s_params = abcd2s(abcd_params)`
```s_params = 2×2 complex 0.0038 + 0.0248i 0.9961 - 0.0250i 0.9964 - 0.0254i 0.0037 + 0.0249i ```

## Alternatives

You can also use network parameter objects to perform network parameter conversions. For more information, see RF Network Parameter Objects.