On 26 August 2012 10:33, Volker Braun <[email protected]> wrote:
> Sounds very much like a non-linear fit will be able to figure out the 8
> unknown parameters. You need a formula ("model") for impedance(frequency)
> depending on the parameters.

Maybe this is not as hard as I thought, and wrote half an hour ago.

There is a very simple model for the impedance of a transmission line
of length l, terminated in some known impedance. So I have a model of
an upen circuit with 4 unknowns. Having calibrated the VNA, I will
know what the measured impedance is at 500 or so frequencies. That's a
fairly simple non-linear fit.

Then I repeat the process for the short circuit to find out the other
4 parameters.

None of this requires access to the correction factors that the VNA
computes during its calibration routine.

Since you Sage does not have such a complex fitting routine, it might
be possible to expose that from GSL as you say, or if Mathematica has
it, I'd be tempted to use that.

I would have only 4 unknown scalar quantities, which are fixed with
frequency, and 500 measurements of the complex impedance taken with
the VNA

Perhaps I was making harder work of this than I needed to - nothing
unusual for me!

Dave

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