s-parameter mathematical theory for crosstalk analysis

[yefj]

Hello, I have a system shown in the photo .I have S-parameters of this system there are several tests like
1.integrated crosstalk noise which uses victim S-params near end and far end cross talk
2.PSXT (power sum cross talk)
3.MDNEXT(multi distributed NEXT)
4.Normalized MDNEXT.
Is there some theory or even better a code which takes VNA s-param data and shows how its been calculated exactly based on the S-params?

 

[berkeman]

I did a Google search on deriving NEXT from s-parameters and got some good hits (videos and articles). Maybe try that same search to see if you find some useful resources...

 

[yefj]

Hello , I did google too before posting they dont show exact matematical manual to derive it.
Is there some recoomended manual I could use?

 

[berkeman]

The technical reference mentioned in the AI overview seems to address NEXT pretty well:

https://blog.lamsimenterprises.com/tag/s-parameters/

 

[yefj]

Hello berkerman, power sum Next is defined as shown below by the attached article.
is there some mathematical expression for these terms?
1.MDNEXT(multi distributed NEXT)
2.Normalized MDNEXT.

 

[yefj]

UPDATE:
Hello , I have found the defintion of ICN as shown below in photo and attached document.
The first one is integrated cross talk noise,my victim is line 1->2.
Next is the coulping from near aggressor lines.
S31 S51 S71
NL0 is the coupling from port 3 to 1 ,S31
NL1 is the coupling from port 5 to 1 ,S51
NL2 is the coupling from port 7 to 1 ,S71

I simulated my 4 lines 0.01GHz to 67GHz .
given the last photo of A_nt f f_nt f_r f_b in equation 12-12 of the photo below
What are they in my case?

What is delta_f in 12-14 equation in my case ?
Thanks.

https://www.oiforum.com/wp-content/uploads/2019/01/OIF_CEI_03.1.pdf