# s2z

Convert S-parameters to Z-parameters

## Description

example

z_params = s2z(s_params,z0) converts the scattering parameters to the impedance parameters.

## Examples

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Define a matrix of S-parameters.

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

Convert S-parameters to Z-parameters.

z_params = s2z(s_params,z0)
z_params = 2×2 complex
102 ×

0.1141 + 0.1567i   0.0352 + 0.0209i
2.0461 + 2.2524i   0.7498 - 0.3803i

## Input Arguments

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N-port- S-Parameters, specified as an N-by-N 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 .

## Output Arguments

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

## Version History

Introduced before R2006a

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