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 — 2-port T-Parameters

2-by-2-by-M array

2-port T-Parameters, specified as a complex 2-by-2-by-M array, where M represents the number of frequency points of 2-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 — 2-port- S-Parameters

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

2-port S-parameters, returned as a 2-by-2-by-M array of complex numbers, where M represents the number of frequency points of 2-port S-Parameters.

References

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