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How to convert s parameters to t parameters?


Asked by Zariah Guerrero on Dec 09, 2021 FAQ



That is, s-parameters matrices cannot be multiplied in series to obtain cascaded s-parameters, but T-parameters can be. So, convert your component s-parameters to T-parameters, multiply matrices, then convert the result back to s-parameters.
Indeed,
T-Parameters are complex just like S-parameters and there are transform equations between the two parameter types and this must be performed on all elements prior to the complex matrix multiplication. Then the T total must be transformed back to S-parameters for the final answer in S-parameters.
Furthermore, In this case, your S-parameters are referenced to the load impedance, and you can just use a simple S-parameter to ABCD parameter conversion: ABCD parameters from S-parameter measurements. After converting, just plug these into the transfer function equation shown above, and you’re finished.
Likewise,
To ease the conversion, we have made a DOS program called STOY (S to Y converter) available for download from our web site at www.spectrum-soft.com. where Mag is the magnitude and Ph is the phase in degrees. These can optionally be the real and imaginary parts.
Accordingly,
S-parameters (frequency response) can be transformed into the time domain parameters (impulse response  step response) by performing an inverse fourier transform (IFT). The matrix representing the time domain will have similar notation, except the “S” is replaced by a “T” (i.e. Tdd11).