t2s

Convert T-parameters to S-parameters

Syntax

s_params = t2s(t_params)

Description

s_params = t2s(t_params) converts the chain scattering parameters to the scattering parameters.

Examples

Convert T-Parameters to S-Parameters

Define a matrix of T-parameters.

t11 =  0.138451095405929   - 0.230421317393041i;
t21 = -0.0451985986689165  + 0.157626245839348i;
t12 =  0.0353675449261375  + 0.115682026931012i;
t22 = -0.00194567217559662 - 0.0291212122613417i;
t_params = [t11 t12; t21 t22];

Convert T-parameters to S-parameters.

s_params = t2s(t_params)

s_params = 2×2 complex

  -0.5892 + 0.1579i   0.0372 + 0.0335i
   1.9159 + 3.1887i   0.3011 - 0.3344i

Input Arguments

t_params — 2N-port T-parameters

2N-by-2N-by-M array

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

This function defines the T-parameters as

$$\left[\begin{array}{c}{a}_1\\ b_1\end{array}\right]=\left[\begin{array}{cc}{T}_{11}& T_{12}\\ T_{21}& T_{22}\end{array}\right]\left[\begin{array}{c}{b}_2\\ a_2\end{array}\right],$$

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.

Output Arguments

s_params — 2N-port S-parameters

2N-by-2N-by-M array of complex numbers

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

R2023a: t2s function now accepts a 2N-by-2N-by-M

Starting R2023a, you can specify the t_params argument as a 2N-by-2N-by-M array of complex numbers. In earlier releases, the function supported only a 2-by-2-by-M array of complex numbers in the t_params argument.