[SI-LIST] Re: Mixed Mode S-Parameters for more than one diff pair.

  • From: "Bill Beale" <beale@xxxxxxxxxxxxxx>
  • To: <gblando@xxxxxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
  • Date: Thu, 13 Feb 2003 09:48:14 -0800

Hi Gustavo,

The answer is to simply expand your transformation matrix [M].  From =
what you described the new transformation matrix should be:

M =3D 1/(sqrt(2)) * Matrix-bellow
 [1 0 -1 0 0 0 0 0]
 [0 1 0 -1 0 0 0 0]
 [0 0 0 0 1 0 -1 0]
 [0 0 0 0 0 1 0 -1]
 [1 0 1 0 0 0 0 0]
 [0 1 0 1 0 0 0 0]
 [0 0 0 0 1 0 1 0]
 [0 0 0 0 0 1 0 1]=20
=20

For more differential pairs, the matrix just expands as needed.

Hope this helps and feel free to contact me if you need more =
information,
Bill

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Bill Beale              Phone:  503-439-3462
Sr. System App. Engineer  Fax:  503-477-9472
Accelerant Networks    e-mail:  bill_beale@xxxxxxxxxxxxxx
On the world wide web @ http://www.accelerant.net
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++


> Hello, I am trying to derive the equations for Mixed mode S-parameters
> for more than one diff pair.
>=20
> This is my setting:
>=20
> p1 <---> p2
> p3 <---> p4
>=20
> p5 <---> p6
> p7 <---> p8
>=20
> For a single diff pair (p1,2,3,4) the equations are readily available.
> Smixed =3D [M]*[S]*[Mt]
> M =3D 1/(sqrt(2)) * Matrix-bellow
> [1 0 -1 0]
> [0 1 0 -1]
> [1 0 1  0]
> [0 1 0  1]
> and Mt is the Transpose of M
>=20
>=20
> I have all the single ended S-parameters [8x8]matrix.
> Now what I need to know is:
>=20
> 1. If I give a differential mode stimulus to p5,7,
>    how much differential and common mode coupling=20
>    will I have on p1,3 and p2,4 ?.
>=20
> 2. If I give a common mode stimulus to p5,7,
>    how much differential and common mode coupling=20
>    will I have on p1,3 and p2,4 ?.
>=20
> 3. How can I extend the equations to more than
>    two differential lines, for example five.
>=20
> (Note that I am not necessarily interested=20
> on the stimulus/response for the following ports
> p3,5 : p4,6 : p1,7 : p2,8=20
> although this may come for free on the equations)
>=20
> Any papers, info will be appreciated.
> Thanks.
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