reciprocal S-parameters derivation

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Supaswing

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A question on how to derive S-parameter for time domain.
S11 and S12 is easy, take the FFT of the reflected and transmitted signal and normalize by the input.
Now,
S22 and S21 are derived form that but I dont know in which fashion, S22 for example looks like S11 with a 180 phase shift but not exactly there is diffferences (coming from loss and non reciprocity?).
I mean there is no extra calculation for those parameters, so I guess it must be done on the basis of S11 and S21 plus "something".
Anybody a idea?
David
 

Hi
Explain your task more detail. Please.

is your device under test lossy and nonreciprocal?
 

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