[SI-LIST] Re: Question about S-parameter and ABCD matrix
- From: "Yang, Long" <long.0.yang@xxxxxxxxx>
- To: "Saoer Sinaga" <saoer.sinaga@xxxxxxxxx>
- Date: Sat, 3 May 2008 09:32:14 +0800
Hi, Saoer:
I think the [Measurement] matrix in Pozar's book is talking about
de-embedding scheme.
You can find some materials about de-embeding.
On Fri, May 2, 2008 at 3:21 PM, Saoer Sinaga <saoer.sinaga@xxxxxxxxx> wrote:
> Hi Sid,
> This question is actually originated from TRL calibration technique. In
> Pozar's book, it is written (in terms of ABCD matrix):
> [Measurement]=[Error]*[DUT]*inv[Error]
>
> But I would say, suppose:
> [Error]=[A,B;C,D], then
> [Measurement]=[A,B;C,D]*[DUT]*[D,B;C,A]
>
> regards,
> Saoer
>
> On Thu, May 1, 2008 at 9:20 PM, Sid Singh <siddharth019@xxxxxxxxx> wrote:
>
> > Saeor,
> > The answer lies in definition of ABCD matrix. They are used for
> > correlating inout voltage/current to output side.
> > [v1, i1] = [A, B ;C, D] * [v2, -i2]
> >
> > When you swap the I/O you end up rearraging above matrix equation with
> v2
> > and i2 on LHS. The math will result in inverse of ABCD matrix being the
> > multiplier coefficient.
> > [v2, i2] = inv { [A, B ;C, D] } * [v1, -i1]
> >
> > For Scattering parameters the math is more intutive since they represent
> > the ratio of reflected vs incident waveform assuming matched termination
> at
> > other port.
> >
> > Sid.
> >
> >
> >
> > On 5/1/08, Saoer Sinaga <saoer.sinaga@xxxxxxxxx> wrote:
> >
> > > Hi all,
> > > I am not really sure if this is a relevant question for this forum.
> > > Suppose I have a two-port non-symmetric passive network whose S-par is
> > > Sx=[S11,S12;S21,S22]=[S11,S12;S12,S22].
> > > Let's say the ABCD matrix of this network is Ax=[A,B;C,D].
> > >
> > > If I rotate the device 180 degree, meaning port2 becomes port1 and
> vice
> > > versa, then the S-parameter would be Sy=[S22,S12;S12,S11]. Hence, the
> > > ABCD
> > > matrix would then be Ay=[D,B;C,A].
> > >
> > > Am I missing something here?
> > > In the "Microwave Engineering" by David M. Pozar book, it is written
> > > that
> > > Ay=inverse[Ax].
> > >
> > > regards,
> > > Saoer
> > > NXP Semiconductors
> >
>
--
I am blogging at
http://lyoung.blogcn.com
------------------------------------------------------------------
To unsubscribe from si-list:
si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field
or to administer your membership from a web page, go to:
//www.freelists.org/webpage/si-list
For help:
si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field
List technical documents are available at:
http://www.si-list.net
List archives are viewable at:
//www.freelists.org/archives/si-list
or at our remote archives:
http://groups.yahoo.com/group/si-list/messages
Old (prior to June 6, 2001) list archives are viewable at:
http://www.qsl.net/wb6tpu
Other related posts:
