Documentation

t2s

Convert T-parameters to S-parameters

Syntax

s_params = t2s(t_params)

Description

s_params = t2s(t_params) converts the chain scattering parameters t_params into the scattering parameters s_params. The t_params input is a complex 2-by-2-by-M array, representing M 2-port T-parameters. s_params is a complex 2-by-2-by-M array, representing M 2-port S-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.

Examples

collapse all

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 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

References

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