[SI-LIST] Re: Causality test
- From: Chris Cheng <Chris.Cheng@xxxxxxxx>
- To: Luciano Boglione <l.boglione@xxxxxxxx>, "si-list@xxxxxxxxxxxxx" <si-list@xxxxxxxxxxxxx>
- Date: Sat, 21 Aug 2010 17:39:09 -0700
In theory, one can examine how close the measured/simulated S-parameters are
causal by testing the Kramers-Kronig relationships by performing Hilbert
transformation between the complex components. Even if the S-parameters are
bandwidth limited, one can extrapolate below the lower limit to DC and do the
Hilbert transform to get the approximate extension. Doing the Cauchy principal
value integral is non-trivial. I asked for a reference a while ago and some of
the reference quoted does not work out well. You will lost some of the high
limit data but that can be minimized by your sampling points.
HTH,
Chris
-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On
Behalf Of Luciano Boglione
Sent: Saturday, August 21, 2010 4:06 PM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] Causality test
Hi folks,
Is there a "test" that can be executed directly on a given S parameter set that
can confirm causality of the network? Put yourself in the best possible
conditions (e.g. off the top of my head, frequency ranges from DC to infinity
continuously). I'm asking for something similar to a passivity test in the
frequency domain.
Thanks,
Luciano
.
Sent via BlackBerry from T-Mobile
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