Engee documentation

t2s

Converts T-parameters to S-parameters.

Library

EngeeRF

Syntax

Function call

Arguments

Input arguments

# t_params — -port T-parameters

+ array of complex numbers

Details

-port T-parameters specified as an array of complex numbers of the size on on , where represents the number of frequency points -port T-parameters.

The function defines the T-parameters as

Where

  • — falling wave on the first port;

  • — reflected wave on the first port;

  • — falling wave on the second port;

  • — reflected wave on the second port.

Output arguments

# s_params — -port S-parameters

+ array of complex numbers

Details

-port S-parameters returned as an array of complex numbers of the size on on , where represents the number of frequency points -port S-parameters.

Examples

Converting T-parameters to S-parameters

Details

Let’s define a matrix of T-parameters and convert them to S-parameters.

using EngeeRF

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

s_params=t2s(t_params)
2×2 Matrix{ComplexF64}:
 -0.589215+0.15788im  0.0371572+0.0334565im
   1.91594+3.18866im   0.301109-0.334415im

Literature

  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.