S-, h-, T-, Y-, Z-, ABCD- Parameter Conversions
One of the most sought-after sets of conversion is from s-parameters to T-parameters, and then back to s-parameters. This is because matrix multiplications can be performed directly on T-parameters in order to calculate cascaded component responses. 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.
All of the parameter equations make use of complex values for all numbers of impedance and the resulting matrix parameters, i.e., Z = R ± jX.
Z01 and Z02 are the complex impedances of ports 1 and 2, respectively; similarly, Z*01 and Z*02 are the complex conjugates of the respective impedances.
The values R01 and R02 are the real parts of port impedances Z01 and Z02.
If you do not already know, here is the meaning of each type of parameter matrix: S (scattering),
Y (admittance), Z (impedance), h (hybrid), ABCD (chain), and T (chain scattering or chain transfer).
These are all I have, so please do not write to ask if I have others.
Conversions Between S, Z, Y, h, ABCD, and T Parameters which are Valid for Complex Source
and Load Impedances.
By Dean A. Frickey, Member, IEEE
2. IEEE Transactions on Microwave Theory and Techniques. Vol 43, No 4. April 1995.
A correction was printed by Roger B. Marks and Dylan F. Williams.
3. I1 formula corrected to use V2 rather than V1. Thanks to Christoph T. for noticing.
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