Convert S-parameters to ABCD-parameters



abcd_params = s2abcd(s_params,z0)converts the scattering parameters s_params into the ABCD-parameters abcd_params. The s_params input is a complex 2N-by-2N-by-M array, representing M 2N-port S-parameters. z0 is the reference impedance; its default is 50 ohms.


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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 to ABCD-parameters.

abcd_params = s2abcd(s_params,z0)
abcd_params = 2×2 complex

   0.0633 + 0.0069i   1.4958 - 3.9839i
   0.0022 - 0.0024i   0.0732 - 0.2664i

Input Arguments

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

Reference impedance of N-port S-Parameters, specified as positive real scalar in ohms.

Output Arguments

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2N-port ABCD parameters, specified as a complex 2N-by-2N-by-M array, where M representing number of frequency points of a 2N-port ABCD-parameters. The output ABCD-parameters matrices have distinct A, B, C, and D submatrices:



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


[1] Pozar, David M. Microwave Engineering. 3rd ed, J. Wiley, 2005.

See Also

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Introduced before R2006a