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s2t

Convert S-parameters to T-parameters

Description

example

t_params = s2t(s_params) converts the scattering parameters to the chain scattering parameters.

This function uses the following definition for T-parameters:

[a1b1]=[T11T12T21T22][b2a2],

where:

  • a1 is the incident wave at the first port.

  • b1 is the reflected wave at the first port.

  • a2 is the incident wave at the second port.

  • b2 is the reflected wave at the second port.

Examples

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Define a matrix of S-parameters.

s11 = 0.61*exp(j*165/180*pi);
s21 = 3.72*exp(j*59/180*pi);
s12 = 0.05*exp(j*42/180*pi);
s22 = 0.45*exp(j*(-48/180)*pi);
s_params = [s11 s12; s21 s22];

Convert S-parameters to T-parameters.

t_params = s2t(s_params)
t_params = 2×2 complex

   0.1385 - 0.2304i   0.0354 + 0.1157i
  -0.0452 + 0.1576i  -0.0019 - 0.0291i

Input Arguments

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2N-port S-parameters, specified as a 2N-by-2N-by-M array for the complex numbers (since R2023a), where M represents the number of frequency points of 2N-port S-parameters.

Output Arguments

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2N-port T-Parameters, returned as a 2N-by-2N-by-M array of complex numbers (since R2023a), where M represents the number for the frequency points of 2N-port T-parameters.

References

[1] Gonzalez, Guillermo. Microwave Transistor Amplifiers: Analysis and Design. 2nd edition. Prentice-Hall, 1997, p. 25.

[2] D. A. Frickey. "Conversions between S, Z, Y, H, ABCD, and T parameters which are valid for complex source and load impedances". IEEE Transactions on Microwave Theory and Techniques, vol. 42, no. 2, pp. 205-211. Feb. 1994, doi: 10.1109/22.275248.

Version History

Introduced before R2006a

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See Also

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